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 'P' is ___

• A. (-2,4)
• B. (-2,-4)
• C. (2,-4)
• D. (4,2)

Answer 1

The correct option is B

(-2,-4)

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)

Now AE = 6 cm

$\therefore$ y-coordinate E = y-coordinate of A - 6

= 6 - 6

= 0

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

$\therefore$ E = (3,0)

Given ES = 5 cm

$\because$ ES is parallel to X-axis, y-coordinate of E = y-coordinate of S

and x-coordinate S = x-coordinate of E - 5

= 3 - 5

= -2

$\therefore$ S = (-2,0)

PS = 4 cm (Given)

$\therefore$ y-coordinate P = y-coordinate of S - 4

= 0 - 4

= -4

and x-coordinate of P = x-coordinate of S ($\because$ PS is parallel to Y-axis)

$\therefore$ Q = (-2,-4)