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Point P(x,y) is equidistance from points...

Point `P(x,y)` is equidistance from points `A(5,1)` and `B(1,5)`. Prove that `x=y`

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If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), prove that x=y

If the point P(x,y) is equidistant from the points A(5,1) and B(-1,5), prove that 3x=2y

If the point P(x,y) is equidistant from the points A(a+b,b-a) and B(a-b,a+b). Prove that bx=ay.

If the point (x,y) is equidistant from the points (a-b,a+b) and (-a-b,a+b) . Prove that x+b=0

If the point (x,y) is equidistant from the points (a+b,b-a) and (a-b,a+b) prove that bx=ay

If point (x,y) is equidistant from points (7,1) and (3,5) show that y=x-2

(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 a relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5).

Find the relation between x and y such that the point P (x,y) is equidistant from the points A(1,4)and B(-1,2).

What is the relation between x and y, if the point P(x, y) is equidistant from the points A(7,0) and B(0,5)?

X BOARDS-QUESTION PAPER 2023-Question
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