A) \[-4\]
B) \[-12\]
C) \[12\]
D) \[-6\]
Correct Answer: B
Solution :
[b] Given that, \[P\left( \frac{a}{3},4 \right)\] is the mid-point of the line segment joining the point \[Q(-6,5)\] and \[R(-2,3).\] |
\[\therefore \]Mid-point of |
\[QR=P\left( \frac{-6-2}{2},\frac{5+3}{2} \right)=P\left( -4,4 \right)\] |
But mid-point is given as \[P\left( \frac{a}{3},4 \right)\] |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\left( \frac{a}{3},4 \right)=(-4,4)\] |
On comparing the coordinates, we get, \[\frac{a}{3}=-4\] |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,a=-12\] |
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