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Question

A line intersects the y-axis and x-axis at points P and Q respectively. If the mid point ofPQ is (2,-5), then find the coordinates of P and Q.


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Solution

Step 1: Write the coordinates of P and Q.

Let the coordinates of P be (0,y) and Q be(x,0)

Step 2: Find the values of x and y.

Since, Midpoint of PQ =(2,-5)

So, by midpoint formula,

x1+x22,y1+y22=2,-5

0+x2,y+02=(2,-5)x2,y2=2,-5x2=2andy2=-5x=4andy=-10

Therefore, the co-ordinates of P and Q are (0,10) and (4,0)respectively.


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