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If R is any point on the x-axis and Q is...

If R is any point on the x-axis and Q is any point on they y-axis and P is a variable point on RQ with RP=b, PQ=a, then find the equation of locus of P.

A

x+y=1

B

x+y=2

C

x+y=2xy

D

2x+2y=1

Text Solution

Verified by Experts

The correct Answer is:
A
The equation of line AB is y-1 = m(x-1). Therefore, the equation of line AC is
`y-1 = -(1)/(m)(x-1)`

`2h=1-(1)/(m)`
`2k=1+(1)/(m)`
Eliminating m, we have locus x+y=1.
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