Question

C s the mid-point of PQ, if Pis (4,x), C is (y, - 1) and Q is (-2, 4), then x
and y respectively are
(a)-6 and 1. (b)-6 and 2
(c) 6 and -1. (d)6 and -2​

Answer 1

Option (a): x = - 6, y = 1

STEP-BY-STEP EXPLANATION:

Given that, the coordinates of P are (4, x) and that of Q are (- 2, 4)

Since C is the mid-point of PQ, the coordinates of C be

( (4 - 2)/2, (x + 4)/2 )

i.e., (1, x/2 + 2)

According to the question,

(1, x/2 + 2) Ξ (y, - 1)

Then y = 1

and x/2 + 2 = - 1

or, x/2 = - 3

or, x = - 6

Therefore x and y respectively are (- 6) and 1.

Option (a) is correct!