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If the point (x,y) be equidistance from the point (a+b,b-a) an

Question

If the point $(x, y)$ be equidistance from the point $(a + b, b - a)$ and $(a - b, a + b)$ , prove that $b x = a y$ .

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If the point

(x, y)

be equidistance from the point

(a + b, b - a)

and

(a - b, a + b)

, prove that

b x = a y

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

(x, y)

is equidistant from

A (a + b, b - a)

B (a - b, a + b)

x, y

cuts AB in equal parts.

(x, y) = (\frac{a + b + a - b}{2}, \frac{b - a + a + b}{2}) (x, y) = (a, b) => x = a & b = y

so,

x b = a y

(multiplying them both)

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Question Text	If the point $(x, y)$ be equidistance from the point $(a + b, b - a)$ and $(a - b, a + b)$ , prove that $b x = a y$ .
Answer Type	Text solution:1
Upvotes	150