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).

1. rs aggarwal question and ans of class 11 ch sequence serise

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/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