Class 10

Math

All topics

Coordinate Geometry

If $R(x,y)$is a point on the line segment joining the points $P(a,b)andQ(b,a),$then prove that $x+y=a+b$

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Find the area of the quadrilateral $ABCD$ having vertices $A(1,1),B(7,−3),C(12,2),$ and $D(7,21)˙$

In $ABC$ Prove that $AB_{2}+AC_{2}=2(AO_{2}+BO_{2})$ , where $O$ is the middle point of $BC$

Find the ratio in which the line segment joining $A(1,5)$ and $B(4,5)$ is divided by the x-axis. Also find the coordinates of the point of division.

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Let $0<α<2π $ be fixed angle . If $P=(cosθ,sinθ)$ and $Q=cos(α−θ),sin(α−θ))$ then Q is obtained by

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If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.