10th Class
Mathematics
Coordinate Geometry
Question Bank
Co-ordinate Geometry
question_answer
If P and Q are the points on the line joining A (-2, 5), B (3, 1) such that AP = PQ = QB. then the mid-point of PQ is:
A) \[\left( \frac{1}{2},3 \right)\]
B) \[\left( -\frac{1}{2},4 \right)\]
C) \[(2,3)\]
D) \[(-1,3)\]
Correct Answer:
A
Solution :
(a): If we consider AP = PQ = QB, then, K is simply the mid-point of AB. \[\therefore \] \[K=\left( \frac{-2+3}{2},\frac{5+1}{2} \right)=\left( \frac{1}{2},3 \right)\]