Question

The value of y for which the distance between the points P(2, -3) and Q(10, y) is
(a) 9, 3
(b) 9, -3
(c)-9, 3
(d) -9, -3​

Answer 1

Answer:

Correct option is

B

-9, 3

PQ=10

⇒

(10−2)

2

+(y+3)

2

=10

64+y

2

+9+6y

=10

Squaring both sides,

y

2

+6y−27=0

⇒y

2

+9y−3y−37=0

⇒y(y+9)−3(y+9)=0

⇒(y+9)(y−3)=0

∴y=−9,3