Basics of Coordinate Geometry — Class 12 Mathematics PYQs

The number of points represented by the equation $x=5$ on the $xy$-plane is

The diagonals of a quadrilateral $ABCD$ are along the lines $x-2y=1$ and $4x+2y=3$. The quadrilateral $ABCD$ may be a

If $P(2,4),Q(8,12),R(10,14)$ and $S(x,y)$ are vertices of a parallelogram, then what is $(x+y)$ equal to?

Direction : Consider the following for the two (02) items that follow :

$ABCD$ is an isosceles trapezium and $AB$ is parallel to $DC$. Let $A(2,3),B(4,3),C(5,1)$ be the vertices.

What are the coordinates of vertex $D$?

The points $(-a,-b)$, $(0,0)$, $(a,b)$ and $(a^2,ab)$ are :

If the point $(x,y)$ is equidistant from the points $(2a,0)$ and $(0,3a)$ where $a>0$, then which one of the following is correct ?

A parallelogram has three consecutive vertices $(-3,4)$, $(0,-4)$ and $(5,2)$. The fourth vertex is