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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.
Three vertices of a parallelogram ABCD are (2,-1), B(3,4), C(-2,3). Find the coordinates of the fourth vertex D.
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).
Find the value of 'p' for which the points (-1,3) , (2,p) and (5,-1) are collinear.
use analytical geometry to prove that the mid point of the hypotenuse of a right angled triangle is equidistant from its vertices
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)
There are two routes to travel from source A to destination B by bus. First bus
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.
the line segment joining the points A ( 2 , 1 ) B ( 5 , -8 ) is trisected at the points p and q such that P is nearer to A . if P also lies on the line given by 2 x - y + k =0 , find the value of k.
IF P and Q are two points whose coordinates are ( at2,,2at) and ( a/t2 , - 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
let the opposite angular points of a square ABCD be A(3,4) C(1,-1).find C and D
find the coordinates of the point equidistant from three given points A (5 , 1 ) , B (-3,-7 ) and C( 7, -1).
Find the ratio in which the point (-6/5, 4) divides the joining of the points (3, 5) and (-4, 5).
If the points A (1,-2) B (2,3)C (-3,2) D (-4,-3) are the vretices of parallelogram ABCD, then taking AB as the base find the height of the parallelogram
If G be the centroid of a triangle ABC, prove that, AB2+BC2+CA2=3(GA2+GB2+GC2)
If A(1,2) , B(4,3 ) and C( 6,6) are the three vertices of a parallelogram ABCD , find the coordinates of the fourth vertex D
Find a relation between x and y such that the point P(x,y) is equidistant from the points A(7,1) and B(3,5) .
The age of the father is twice the sum of the ages of his two children.After,20 years , his age will be equal to the sum of the ages of his children.Find the age of the father
Q1) Prove that the points (a,0),(b,0), and (1,1) are collinear if 1/a + 1/b =1
Q2) Prove that the points (a,b), (c,d), and ( a-c,b-a) are collinear if ad=bc.
Q3) three consecutive vertices of a parallelogram ABCD are A (1,2) B (1,0) and C (4,0).Find the fourth vertex.
Four points A(6,3) , B(-3,5) , C(4,-2) , and D(x,3x) are given in such a way that
area of triangle DBC/area of triangle ABC =1/2. Find x
in what ratio does the x-axis divide the segment joining the points (-4,-6) and (-1,7), also find the coordinates of point of division
find the circumcentre of the triangle whose vertices are (-2,-3), (-1,0), (7,-6)
A(6,1), B(8,2), C(9,4) are three vertices of a parallelogram ACBD. If E is midpoint of DC, find the area of ∆ADE.
Find the point on Y-axis which is equidistant from the points (5,-2) and (-3,2)?
The base BC of an equilateral triangle ABC lies on y axis. The coordinates of pt. C are (0,-3). If the origin is the mid pt. of the base BC, find the coordinates of the pt. A and B and hance find the area of the triangle.
Find the area of the quadrilateral whose vertices taken in order are (-4, -2), (-3, -5 ), (3, -2), and (2,3)........
If the midpoints of sides of the triangle PQR are (1,2) (0,1) (1,0), then find the cordinates of thevertices of the triangle.
find the ratio in which the line 2x + 3y - 5 = 0 divideds the line segment joining the points (8,-9) and (2,1) . also find the coordinates of the point of division.
If R( x , y ) is a point on the line segment joining the points P( a , b ) and Q( b , a ) , then prove that x+y =a+b
Show that A(-3,-1), B(-4,-1), C(3,3) andD (4,3) are the vertices of a rhombus.(R.S Aggarwal pg no. 668 Q no 13)
FIND THE RATIO IN WHICH THE Y- AXIS DIVIDES THE LINE SEGMENT JOINING THE POINTS ( 5 , -6 ) AND ( -1 , -4 ) .
for such a question i know that the ratio is taken as k : 1 . But what ratio should be taken if it is asked for x - axis ?
Is it the same ?
(i) the length of the arc (ii) area of the sector formed by the arc
(iii)area of the line segment formed by the corresponding chord.
find the ratio in which point P(-1,y) lying on the line segment joining points A(-3,10) and B(6,-8) divides it. also find the value of y.
3 vertices of a parallelogram taken in order are (1,2), (2, 4) and (3,7), then fourth vertex is ?
Find the area of the Quadrilateral ABCD whose vertices are A ( -3 , -1) , B (-2, -4) , C ( 4, -1) andD (3,4) . ..
Find the point on x-axis which is equidistant from the points (2,-5) and (-2,9)
if the points A(4,3) and B(x,5) are on the circle with centre O(2,3), find the value of x.
point A is on the y axis at a distance of 4 units from the origin.If coordinates of point B are (-3, 0), find the length of AB.
Plzzzzzz help fast!!!I have my board exams.
Find a point on y axis which is equidistant from the pts. A(6,5) and B(-4,3).
Determine the ratio in which the line 3x+y-9 divides th e segment joining the points (1,3) (2,7).
1- the perpendicular bisector of line segment joining the points a(1,5) b(4,6) cuts y axis at which point
2-if the point p (2,1)lies on the line segment joining points a(4,2 ) and b (8,4) then
a- ap=1/3ab , b- ap=pb, c- pb=1/3ab d- ap=1/2 ab choose the correct option
i m getting the relation ab=4 ab am i right or wrong plz specify this
3- show that a (-3,-1), b- (-4,-1), c(3,3) , d (4,3) r the vertices of rhombus i m not getting rhombus
find the value of x and y ,if the distance of point (x,y) from (-3,0) as well as from (3,0) is 4 units ?
IN WHAT RATIO DOES THE LINE x-y-2=0 divide the line segment joining (3,-1) and (8,9) ?
Find the coordinates of the cicumcentre of the triangle whose vertices are (8,6), (8,-2) and (2,-2). Also find its circumradius.
(plz explain step wise)
Find the area of the
triangle formed by joining the mid-points of the sides of the
triangle whose vertices are (0, − 1), (2, 1) and (0, 3). Find
the ratio of this area to the area of the given triangle.
Show that the points (a, a), (-a,-a) and (− 3a, 3a ) are the vertices of an equilateral
The coordinate of two points A and B are (3,4) and (5,-2) respectively. Find the coordinate of point P if PA=PB. The area of triangle APB=10.
if the points (p,q), (m,n) and (p-m,q-n) are collinear, show that pn=qm.
Find the value of k if the points A(k+1, 2k), B(3k, 2k+3)and C (5k – 1, 5k) are collinear.
If two opposite vertices of a square are (5,4) and (1,-6), find the co ordinates of its remaining two vertices.
the distance of the points p (2,3) from the x axis is
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