What is d(P,Q) , if the co-ordinates of P&Q are -2 & 10 respectively?
A) 12
B) 8
C) -12
D) 5
Answers
Answered by
1
Answer:
Correct option is
D
(0,−10) and (4,0)
P lies on y-axis so co-ordinates of P are (0,y)
Similarly, co-ordinates of Q lies on x-axis =Q(x,0)
Mid-point of PQ is
M(
2
x
1
+x
2
,
2
y
1
+y
2
)=M(2,−5) which is given
⇒M(
2
0+x
,
2
y+0
)=M(2,−5)
⇒(
2
x
,
2
y
)=M(2,−5)
Comparing both side, we get
2
x
=2 and
2
y
=−5
⇒x=4 and y=−10
Hence, the co-ordinates of P(0,−10) and Q(4,0) verifies ans (d)
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