Question

If two rectangles ABCD and PQRS whose sides are parallel to the coordinate axes are drawn as shown in below figure then the coordinates of 'C' is ___

• A. (3,-4)
• B. (3,0)
• C. (3,-8)
• D. (3,-10)

Answer 1

The correct option is D

(3,-10)

Given B = (5,6)

Let E, F, G, H be the intersection points of these two rectangles.

AB = 2 cm (Given)

$\therefore$ A = (3,6) ($\because$ AB is parallel to X-axis)

AC = AE + SP + GC

= 6 + 4 + 6

= 16

$\therefore$ y-coordinate C = y-coordinate of A - 16

= 6 - 16

= -10

and x-coordinate of C = x-coordinate of A ($\because$ AC is parallel to Y-axis)

$\therefore$ C = (3,-10)