Straight Lines, Popular Questions: CBSE Class 11-commerce MATH, Math

Pushapleen Singh asked a question

Subject: Maths, asked on on 7/8/12

Find the coordinates of foot of perpendicular from the point (2,3) to the line 3x+4y+8=0.

Aditya Ranjan asked a question

Subject: Maths, asked on on 12/3/16

In ∆ PQR ,Q=(0,0),PQ=2, Angle PQR=π/3 and the midpoint of QR has coordinate (2,0) then centroid of ∆ is.

Saloni Verma asked a question

Subject: Maths, asked on on 10/12/11

Q.17 of miscellaneous ex. of N cert book chapter 10 st. line

Damini Mini asked a question

Subject: Maths, asked on on 28/12/13

a quadrilateral has vertices at the points(-4,2) , (2,6), (8,5), (9,-7),show that the mid points of the sides of this quadrilateral are the vertices of a parallelogram.

Neeraja Padman asked a question

Subject: Maths, asked on on 13/2/14

The base of the equilateral triangle has an equation of x+2y=3 and one of the vertex is (1,1).find the equation of other two sides

sidhant94... asked a question

Subject: Maths, asked on on 1/4/11

two sides of an isocesle triangle are given by the equation 7x-y+3=0 and x+y-3=0. if its third side passes through the point (1,-10) then its equations are-

Aditya Singhal asked a question

Subject: Maths, asked on on 27/12/12

the equation of the perpendicular bisectors of sides AB and AC of a triangle ABC are x-y+5=0 and x+2y=0respectively. if the point is A (1,-2), find the equation of line BC.

Jayesh Bangad asked a question

Subject: Maths, asked on on 17/10/17

Question no. 24 Part B
Q.24. (B) If line 2x - by + 1 = 0 intersects the curve

2 x^{2} - b y^{2} + (2 b - 1) x y - x - b y = 0

at points A & B and AB subtends a right angle at origin, then value of

b + b^{2}

is equal to

Sadia S asked a question

Subject: Maths, asked on on 26/10/12

Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0.
If the equation of one of the diagonals is 11x + 7y = 4, find the equation
of the other diagonal.

Shweta Mishra asked a question

Subject: Maths, asked on on 12/11/17

In this solution, how does coefficient of y becomes zero ? What is the reason that if a line is parallel to y axis , then the coefficient of y becomes zero ?

Shristy Rathi asked a question

Subject: Maths, asked on on 10/3/14

A line is such that it's segment between the lines 5x-y+4=0 and 3x+4y-4=0 is bisected at the point (1,5) obtain it's equation?

Rashmika Unnikrishnan asked a question

Subject: Maths, asked on on 2/11/12

sir, can u explain me how to find tan inverse in log books..

Perin Jhaveri asked a question

Subject: Maths, asked on on 28/10/16

If a vertex, the , circumcenter, and the centroid of a triangle are ( 0, 0 ), (3, 4) and (6, 8) respectively, then the triangle must be
a. a right angles triangle
b. an equilateral triangle
c. an isosceles triangle
d. a right-angled isosceles triangle

Sol: Clearly, ( 0, 0 ), (3, 4) and (6, 8) are collinear. So, the circumcenter M and the centroid G are on the median which is also the perpendicular bisector of the side. So the triangle must be isosceles.

How did we come to know they're on the median and also the perpendicular bisector? (I couldn't understand it through the triangle I plotted. Please make a figure if that makes things easier)

Aditya Singhal asked a question

Subject: Maths, asked on on 26/12/12

find the coordinates of the incentre and centroid of the triangle whose sides have the equation 3x -4y=0, 12y+5x=0, y-15=0.

also please tell me what is incentre, circumcentre, orthocentre and centroid in a triangle

Ayan asked a question

Subject: Maths, asked on on 30/7/18

log5+log(x+10)-1= log(21x-20)-log(2x-1) solve this

Diksha Verma asked a question

Subject: Maths, asked on on 6/12/15

The polar co ordinate of the vertices of the triangle are (0,0) , (3,180/2) and (3,180/6). Then the triangle is equilateral how?

Ishika Mondal & 4 others asked a question

Subject: Maths, asked on on 24/2/14

The hypotenuse of a right angled triangle has its ends at points (1,3) and (-4,1).Find the equation of the legs (perpendicular sides) of the triangle.

Vikrant Gupta asked a question

Subject: Maths, asked on on 21/2/13

Find the image of the point (1,2) in the line x-3y+4 =0

Diksha Verma asked a question

Subject: Maths, asked on on 6/12/15

If point [x₁ + t (x₂- x₁) , y₁ + t (y₂ - y₁ )] divides the join of (x₁,y₁) and (x₂,y₂) internally then: 0 < t< 1. How?

Simran Agarwal asked a question

Subject: Maths, asked on on 5/2/13

Find the equations of the lines which pass through (4,5) and make equal angles with lines 5x-12y +6 =0 and 3x-4y-7=0

Shubrah Gupta asked a question

Subject: Maths, asked on on 8/3/17

Question A2

A - 2 . G i v e n a △ A B C w i t h u n e q u a l s i d e s . P i s t h e s e t o f a l l p o i n t s w h i c h i s e q u i d i s \tan t f r o m B & C a n d Q i s t h e s e t o f a l l p o i n t w h i c h i s e q u i d i s \tan t f r o m s i d e s A B a n d A C . T h e n n (P \cap Q) e q u a l s :

(A)1
(B)2
(C)3
(D)infinite

Siddharth Sawhney asked a question

Subject: Maths, asked on on 20/12/11

the distance of the point (3,5) from the line 2x +3y - 14 = 0 measured parallel to the line x - 2y = 1 is ?

a) 7/ root 5

b) 7/ root 13

c) root 5

d) root 13

Akshat Kant Thakur asked a question

Subject: Maths, asked on on 4/11/17

4. Let 0

\leq

a,b,c,d

\leq

π

where b and c are not complementary, such that
2 cos a + 6 cos b + 7 cos c+ 9 cos d =0 and 2 sin a - 6 sin b + 7 sin c - 9 sin d = 0 then value of

\frac{3 \cos (a + d)}{\cos (b + c)}

Vibhav Joshi asked a question

Subject: Maths, asked on on 10/11/11

NCERT - miscellaneous exercise ch 10 Q-17

The end points of the hypotenuse of a right angled triangle are (1,3) and (-4,1). Find the equation of the legs of the triangle.

Neelam P Shah asked a question

Subject: Maths, asked on on 31/12/14

Find the mid - point of the line joining (5,8),(9,11)

Maharshi Chakraborty asked a question

Subject: Maths, asked on on 23/12/12

Show that the points A(7,10), B(-2,5) and C(3,-4) are the vertices of an isoceles right-angled triangle.

Santosh Yadav & 1 other asked a question

Subject: Maths, asked on on 5/10/12

find the angle between x axis & line joining (2,-1) &(4,-3).

Aniket Padhi asked a question

Subject: Maths, asked on on 16/11/12

The area of the triangle formed by the coordinate axes and a line is 6 square units and the length of the hypotenuse is 5 units . Find the equation of the line

Ishika Soni asked a question

Subject: Maths, asked on on 9/2/14

find the equation of the line through the intersection of the lines 2x+3y-4 = 0 and x-5y = 7 that has its intercept equal to -4.

Akshat Kant Thakur asked a question

Subject: Maths, asked on on 1/10/17

Represent the atraight line y=x+2 in the parametric form

Sowmya Singh asked a question

Subject: Maths, asked on on 10/3/15

math ncert supplementary exercise 10.4 :-2,3,4

Jignesh Agarkar asked a question

Subject: Maths, asked on on 8/5/13

The x co-ordinate of the incentre of the triangle that has the co-ordinates of mid-points of its sides as (0,1) (1,1) and (1,0) is:

1) 1+ $scriptstyle sqrt{2}$

2)1- $scriptstyle sqrt{2}$

3)2+ $scriptstyle sqrt{2}$

4)2- $scriptstyle sqrt{2}$

Siddhant Virmani asked a question

Subject: Maths, asked on on 29/6/10

A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.

Kevin Sam asked a question

Subject: Maths, asked on on 23/12/13

Find the equation of the circle passing through the points (1,2), (3,-4) and (5,-6)

Preeti & 1 other asked a question

Subject: Maths, asked on on 24/4/17

solutions of a das gupta

Akhil Kamat asked a question

Subject: Maths, asked on on 1/12/16

The ends of the base of an isosceles right angled triangle are (1,2) (3,4).The possible positions for the vertex of the triangle are

(2,3) (3,2)
(1,4) (-3,-2)
(1,4) (3,2)
(3,2) (4,3)
none

Kinjalk Bajpai asked a question

Subject: Maths, asked on on 1/11/14

The point A divides the join of P(-5,1) and Q(3,5) in the ratio k:1. Find the two values of k for which the area of triangle ABC, where B is (1,5) and C is (7,-2), is equal to 2 units.

Saurabh asked a question

Subject: Maths, asked on on 21/11/18

Straight line ques

Ayush Kumar asked a question

Subject: Maths, asked on on 12/7/11

1. find the equation of perpendicular bisectors of the line segment joining the points (1,1) and (2,3)

2. Find the eq of the line which passes through the points (3,4) and the sum of its intercepts on the axes 14

Charlie asked a question

Subject: Maths, asked on on 7/2/16

If 16a² + 25b²- c² = 40ab, then the family of lines ax + by + c = 0 is concurrent at the points)
Thank You.

Aditya Singhal asked a question

Subject: Maths, asked on on 26/12/12

Find the orthocentre of the triangle the equation of whose sides are x+y=1, 2x+3y=6, 4x-y+4=0

Neha Jain asked a question

Subject: Maths, asked on on 27/1/17

Line M has a y-intercept of –4, and its slope must be an integer-multiple of 1/7. Given that Line M passes below (4, –1) and above (5, –6), how many possible slopes could Line M have?

Fari Munavra asked a question

Subject: Maths, asked on on 26/1/13

if A(1,4) B(2,-3) C(-1,-2) are the vertices of a triangle ABC. find

a) the equation of the median through A

b) the equation of altitude through B

c) the right bisector of BC

Prateek Bose asked a question

Subject: Maths, asked on on 8/1/19

Absolute value of slope of a line, common tangent to both the curves given by y = x² and x² + y + 1 = 0 will be –

(1)
(2)	2
(3)
(4)

Sadia S asked a question

Subject: Maths, asked on on 26/10/12

One side of a rectangle lies along the line 4x + 7y + 5 = 0. Two of its
vertices are (–3, 1) and (1,1). Find the equation of other three sides.

Jeet Acharya asked a question

Subject: Maths, asked on on 31/8/20

1. Write the equation in slope intercept form and hence find its slope and y ? intercept

Anmol Tanwar asked a question

Subject: Maths, asked on on 4/2/16

A vertex of an equilateral triangle is (2,3) and the opposite side is x + y -2 =0 . Find the equations of other two sides .

Vishnu Vasan asked a question

Subject: Maths, asked on on 11/10/12

How do you find the slope of the line perpendicular to the line joining the points (2,5) and (-3,6) ?

Varshini asked a question

Subject: Maths, asked on on 26/5/15

show that equation of the line passing through (acos^3 theeta,asin^3theeta) and perpendicular to the line x sec theeta + ycosec theeta = a is x cos theeta -y sin theeta = a cos2 theeta

Shantanu Kumar Das asked a question

Subject: Maths, asked on on 18/9/13

Find the equation of straight lines which passes through the origin and tri sect the intercept of the line 3X +4Y=12 between the axis.

Tushar Shrivastava asked a question

Subject: Maths, asked on on 4/6/14

if the image of the point(2,1) with respect to a line mirror be (5,2), find the equation of the mirror.

Rithvik asked a question

Subject: Maths, asked on on 2/9/16

Show that the lines represented by (lx+my)²-3(mx-ly)²and lx+my+n=0 form an equlateral triangle with area n²/root3(l²+m²)

Charlie asked a question

Subject: Maths, asked on on 31/1/16

Consider a family of straight lines (x + y) + lambda(2x - y + 1) = 0. Find the equation of the straight line belonging to this family that is farthest from (1, -3).

Kindly please don't refer me the link to a similar question that ha s already been answered as I tried that method but I got a wrong answer.

Thank You.

Akhil Kamat asked a question

Subject: Maths, asked on on 1/12/16

The angle made by the line y = (√3x)-4 with y-axis is

Aparna asked a question

Subject: Maths, asked on on 20/10/12

Find the eq. of the straight lines which go through the origin and trisect the portion of the straight line 3x+y=12 which is intetercepted between the axes of the coordinates.

Bhavya Prasad asked a question

Subject: Maths, asked on on 16/8/19

If A (3, 3), B (4, 3) and C (3, 4) be the vertices of a triangle, then the distance between it’s orthocentre and circumcentre is a. root 2 b. 1/ root 2 c. 2 root 2 d. none

Surbhi Kashyap asked a question

Subject: Maths, asked on on 16/11/13

the diagonal of a square lies along the line 8x-15y=0 one vertex is (1,2). find equations to the side of square passing through it?

Neelam P Shah asked a question

Subject: Maths, asked on on 8/1/15

The vertices of a quad. PMQS are P (0, 0), M (3, 2), Q (7, 7) and S ( 4, 5). Show that PMQS is a parallelogram?Prove either of the following :(i) opposite sides are equal ;(ii) The mid-point of one diagonal in the same as that of the other diagonal.(iii) opposite sides are parallel.

𝙼𝙰𝙽𝙰𝚂 asked a question

Subject: Maths, asked on on 17/12/14

A ray of light is sent along the line x-2y-3=0 upon reaching the line 3x-2y-5=0 the ray is reflected from it, find the equation of the line containing the reflected ray.

Mansi asked a question

Subject: Maths, asked on on 7/7/16

The points (-6,1), (6,10), (9,6) and (-3,-3) are the vertices of a rectangle. If the area of the portion of this rectangle lies above x-axis is a+b where (a,b C N) and a and b are in their lowest form. Then find a+b

Pushapleen Singh asked a question

Subject: Maths, asked on on 21/7/12

Find the equation of bisector of angle A of triangle whose vertices are A(4,3) , B(0,0) & C(2,3)

Damini Pande asked a question

Subject: Maths, asked on on 27/9/16

~~Put the equation 12y=5x+65 in the form of xcosθ+ysinθ=p and indicate clearly in a rough diagram the position of the straight line and the meaning of the constant θ and p.

Shrikanth Showri asked a question

Subject: Maths, asked on on 5/4/14

How to split a pair of line equation of ax²+2hxy+by²+2gx+2fy+c=0 in the short method?

Aditya Singhal asked a question

Subject: Maths, asked on on 31/12/12

Find the equation of the straight line passing through (3,-2) and making an angle of 60 degree with the positive direction of y-axis

Naman Rastogi asked a question

Subject: Maths, asked on on 2/10/11

Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

what difference it will get when it become clockwise in place of aticlockwise.

Meethi asked a question

Subject: Maths, asked on on 14/12/15

If the sides of triangle ABC are such that a=4, b=5, c=6 then the ratio in which excentre corresponding to A divides the angle bisector AB in the ratio? Answer is 11/4 externally. Experts pls solve and explain through figure. Thanks

Adarsh asked a question

Subject: Maths, asked on on 20/7/13

find the equation of the straight line which cuts off intercepts on x axis twice that on y axis and is at a unit distance from the origin

Javeed Khaz asked a question

Subject: Maths, asked on on 11/7/12

prove that the line y-x+2=0 divides the join of the points (3, -1) and ,(8,9) in the ratio 2:3

Sahil Tyagi asked a question

Subject: Maths, asked on on 22/10/15

A line passes through P(1,2) such that its intercept between the axes is bisected at P. Find the equantion of the line.

Priya Agrawal asked a question

Subject: Maths, asked on on 11/1/15

find the equation of the line passing through pcosalpha,psin alpha and inclined t x axis at 90+alpha by point slope form

Anujitha asked a question

Subject: Maths, asked on on 11/9/12

find the distance of the point (2,3) from the line 2x-3y+9=0 measured along a line making an angle of 45degreewith the x axis

Saahithi asked a question

Subject: Maths, asked on on 26/7/16

acute angle between the pair of lines 2x^2+5xy+2y^2+3x+3y+1=0

Barath & 1 other asked a question

Subject: Maths, asked on on 14/12/15

find what the following equation becomes when the origin is shifted to the point(1,1)

x²+xy-3y²-y+2=0

Rudra asked a question

Subject: Maths, asked on on 25/6/20

The points A (2,3), B (4, -1) and C (-1,2) are the vertices of triangle ABC. Find the length of perpendicular from C on AB and hence find the area of triangle ABC

Zahra Mazhar asked a question

Subject: Maths, asked on on 3/11/15

find the equations of the lines passing through the point (3,-2) and inclined at an angle of 60° to the line root3x + y =1?

Vineeth Matta asked a question

Subject: Maths, asked on on 10/9/14

For the variable triangle ABC with fixed vertex (1,2) and A,B having coordinates (cost,sint),(sint,-cost) respectively, Find the locus of its centroid.

Harsh Yadav asked a question

Subject: Maths, asked on on 15/8/14

if G is the centroid and I the incentre of the triangle with vertices A(-36,7) ,B(20,7) ,C(0,6) then find the value of GI?

Mukul Agrawal asked a question

Subject: Maths, asked on on 20/8/15

let ABC be a triangle such that the coordinates of vertex A are (-3,1).equation of the median of B is 2x+y-3=0 and equation of the angular bisector of C is 7x-4y-1=0. Find the slope of the line BC

Pavithra Rajesh asked a question

Subject: Maths, asked on on 14/6/10

Find the equation of the lines through the point (3, 2) which make an angle of 45° with the line x –2y = 3.

Mahaksh Trivedi asked a question

Subject: Maths, asked on on 2/10/16

1) Find the value of CD in terms of x, in the adjoining figure, where O is the centre of semicircle.

2) In the given figure (circle), PT = 5, PD = 7 and PA = 2, then the value of PB - PC = ?

Moidin Afsan asked a question

Subject: Maths, asked on on 22/8/13

find the equation of passing through the point (3,2) and whose slope is 3/4. find the coordinates of the points on the same line that are 5 units away from the point (3,2)

Chharishma.r.nayaka asked a question

Subject: Maths, asked on on 11/5/18

Please ans soon..

45. Derive a formula for the perpendicular distance of a point (x₁, y₁) from the line Ax + By + C = 0.

Tushar Shrivastava asked a question

Subject: Maths, asked on on 4/6/14

If the co-ordinates of a variable point P be (acostheta,bsintheta) where theta is a variable quantity, find the locus of P.

Neeraj Maurya asked a question

Subject: Maths, asked on on 16/9/19

A line l passing through (2,1) intercept curve 4x^2+y^2-x-4y-2=0 at point A and B. If the lines joining origin and points A and B are such that the coordinate axes are thr bisector between them then find the equation of line.

Sumit Mehta asked a question

Subject: Maths, asked on on 10/6/10

If p and q are the lengths of perpendiculars from the origin to the lines x cos θ – y sin θ = k cos 2θ and x sec θ+ y cosec θ = k, respectively, prove that p² + 4q² = k²

Pranab Debnath asked a question

Subject: Maths, asked on on 17/8/20

Find equation of straight lines passing through (3,-4) and cutting equal intercept of opposite sign on coordinate axis

Moidin Afsan asked a question

Subject: Maths, asked on on 22/8/13

a straight line makes an intercept on the y axis twice as long as that on the x axis and is at a unit distance from the origin.determine its equation (pls slove it)