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A line intersects the y-axis and x-axis at the points P and Q respectively .if (2,-5) is the midpoint of PQ, then find the coordinates of P and Q.

Posted by Siksha Upadhyay 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let coordinate of P be (0, y) and of Q be (x,0)
A(2, -5) is mid - point of PQ.
By Section Formula,
(2, -5) = {tex}\left( \frac { 0 + x } { 2 } , \frac { y + 0 } { 2 } \right){/tex}
{tex}\therefore 2=\frac x2 \text{ and }-5=\frac y2{/tex}
x = 4 and y = -10.
Therefore, P is (0, -10) and Q is (4, 0).

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