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[" points "P(a,b)" and "Q(b,a)" ,then pr...

[" points "P(a,b)" and "Q(b,a)" ,then prove the "],[x+y=a+b" ."],[" Find the value of "y" for which the distance bets "]

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(i) If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay. (ii) If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal then prove that 3x =2y.

Find the values of y for which the distance between the points P(2,-3) and Q(10,y) is 10 units.

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Find the values of y of which the distance beween the points A(3,-1)and B(11,y) is 10 units.

If R(x,y) is a point on the line segment joining points P(a,b) and Q(b,a) , then prove that x + y = a + b . (a ne b)

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