if(-4,3)and(4,3)are two vertices of an equilateral triangle. find the coordinates of the third vertex. given that the origin lies in the interior of the triangle.

How to prove three points collinear by Section Formula

Q1=Two opposite vertices of a square are (-1,2)and (3,2).Find the coordinates of other two vertices.

Q2=If two opposite vertices of a square of a square are (5,4)and (1,-6) ,find the coordinates of its remaining two vertices.

THE VERTICES OF TRIANGLE ABC ARE A(4,6) , B(1,5) , C(7,2). A LINE IS DRAWN TO INTERSECT SIDES AB AND AC AT D AND E RESPECTIVELY SUCH THAT AD/AB=AE/AC=1/4. CALCULATE THE AREA OF TRIANGLE ADE AND COMPARE IT WITH AREA OF TRANGLE ABC.

if p(x,y ) is any point on the line segment joining the points A(a , 0) and B(0,b) then show that x/a + y/b = 1

xam idea model paper - 1 (unsolved-1)

Determine the ratio in which the line 2x+y-4=0 divides the line segment joining point A(2,-2) & B(3,7)?

Find the centre of a circle passing through the points (6,-6), (3,7) and (3,3).

the distance between 2x+4=0 and x-5=0 is ?

Find the value of 'p' for which the points (-1,3) , (2,p) and (5,-1) are collinear.

Find the ratio in which the line 3x + y - 9 = 0 divides the line segment joining the points A(1,3) and B(2,7)

the mid points of the sides of a triangle are (3,4) , (4,1) , (2,0).find the coordinates of the vertices of the triangle.

IF P and Q are two points whose coordinates are ( at^{2,},2at) and ( a/t^{2} , - 2a/t) respectively and S is the point ( a,0).. Show that 1/SP + 1/SQ is independent of t

In what ratio the line segment joining the points (-2,-3) and (3,7) is divided by the y – axis ? Also, find the co – ordinates of the point of division

Find the coordinates of the mid point of the line segment joining the points (4, 3) and (2, 1).

let the opposite angular points of a square ABCD be A(3,4) C(1,-1).find C and D

the distance of point 4,5 from the x axis

if(-4,3)and(4,3)are two vertices of an equilateral triangle. find the coordinates of the third vertex. given that the origin lies in the interior of the triangle.

of Rose, Sunflower, Champa and Jasmine respectively as shown in the following figure. A fifth

student Eshan wanted to plant her flower in this area. The teacher instructed Eshan to plant

his flower plant at a point E such that CE: EB = 3 : 2.

Answer the following questions:

i. Find the coordinates of point E where Eshan has to plant his flower plant.

ii. Find the area of ECD.

iii. Find the distance between the plants of Ajay and Deepak.

iv. The distance between A and B is:

v. The distance between C and D is:

How to prove three points collinear by Section Formula

Library first to return a book and then reaches School directly whereas Pulkit went to Skate

Park first to meet his friend and then reaches School directly.

i. How far is School from their Home?

ii. What is the extra distance travelled by Ramesh in reaching his School?

iii. What is the extra distance travelled by Pulkit in reaching his School? (All distances are

measured in metres as straight lines)

iv. The location of the library is:

v. The location of the Home is:

Q1=Two opposite vertices of a square are (-1,2)and (3,2).Find the coordinates of other two vertices.Q2=If two opposite vertices of a square of a square are (5,4)and (1,-6) ,find the coordinates of its remaining two vertices.1. How many cubes will have one face painted only in Blue?

(a) 1 (b) 2 (c) 3 (d) 4 (e) 5

2. How many cubes will have one face painted only in Green?

(a) 1 (b) 2 (c) 3 (d) 4 (5)

3. How many cubes are formed in all?

(a) 16 (b) 24 (c) 27 (d) 32 (e) 48

THE VERTICES OF TRIANGLE ABC ARE A(4,6) , B(1,5) , C(7,2). A LINE IS DRAWN TO INTERSECT SIDES AB AND AC AT D AND E RESPECTIVELY SUCH THAT AD/AB=AE/AC=1/4. CALCULATE THE AREA OF TRIANGLE ADE AND COMPARE IT WITH AREA OF TRANGLE ABC.

if p(x,y ) is any point on the line segment joining the points A(a , 0) and B(0,b) then show that x/a + y/b = 1

xam idea model paper - 1 (unsolved-1)

points A(-2, 0) and B(6. 0).

Determine the ratio in which the line 2x+y-4=0 divides the line segment joining point A(2,-2) & B(3,7)?

Find the centre of a circle passing through the points (6,-6), (3,7) and (3,3).

the distance between 2x+4=0 and x-5=0 is ?

Find the value of 'p' for which the points (-1,3) , (2,p) and (5,-1) are collinear.

Find the ratio in which the line 3x + y - 9 = 0 divides the line segment joining the points A(1,3) and B(2,7)

the mid points of the sides of a triangle are (3,4) , (4,1) , (2,0).find the coordinates of the vertices of the triangle.

IF P and Q are two points whose coordinates are ( at

^{2,},2at) and ( a/t^{2}, - 2a/t) respectively and S is the point ( a,0).. Show that 1/SP + 1/SQ is independent of tIn what ratio the line segment joining the points (-2,-3) and (3,7) is divided by the y – axis ? Also, find the co – ordinates of the point of division

Find the coordinates of the mid point of the line segment joining the points (4, 3) and (2, 1).

let the opposite angular points of a square ABCD be A(3,4) C(1,-1).find C and D

the distance of point 4,5 from the x axis