Question

a line intersects the y axis and x axis at the point P and Q respectively if (2, - 5) is the midpoint of PQ then find the co-ordinate of P and Q

Answer 1

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$\large\mathcal\red{solution}$

(2,-5) is the mid point of the line connecting two end points (X,0) and ,(0,Y). [as,the point on X axis is (X,0) and the point on y axis is (0,Y)]

therefore....

$\frac{x + 0}{2} = 2 \\ = > x = 4 \\ and \\ = > \frac{y + 0}{2} = - 5 \\ = > y = - 10$

therefore coordinate of p is (0,-10) and of Q is (4,0)

$\large\mathcal\red{hope\: this \: helps \:you......}$