Question

If the origin is shifted to the point (-4, 7), axes remaining parallel, (-5, q) lies on the new X-axis and (p, 4) lies on the new Y-axis, then the values of p and q are ______ 

Options

• -4, 7

• 3, 4

• 7, 2

• -5, 4

Answer 1

If the origin is shifted to the point (-4, 7), axes remaining parallel, (-5, q) lies on the new X-axis and (p, 4) lies on the new Y-axis, then the values of p and q are -4, 7.

Explanation:

Given, (h, k) ≡ (-4, 7) 

(-5, q) lies on new X-axis.

∴ (x, y) = (- 5, q) and Y = 0

But, y = Y + k

∴ q = 0 + 7

⇒ q = 7

Also, (p, 4) lies on new Y-axis.

∴ (x, y) = (p, 4) and X = 0

But, x = X + h

∴ p = 0 - 4

⇒ p = -4