Question

Find the point P if Q(-2,4) os the point on the line segment OP such that OQ = 1/3 OP. O being the origin


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Answer 1

Answer:

The coordinate of Q is (3,-2).

Step-by-step explanation:

Given : The coordinates of the point P are (-3, 2).

To find : The coordinates of the point Q which lies on the line joining P and origin such that OP = OQ ?

Solution :

We have given,

Point P = (-3,2)

Point O = (0,0) origin

Let Point Q = (x,y)

The point Q which lies on the line joining P and origin such that OP = OQ

i.e. Q is the mid point of OP

Applying mid-point theorem,

So, The coordinate of Q is (3,-2).