Question

The point whose abscissa is equal to its ordinate and which is equidistant from `A(-1, 0)` and `B(0, 5)` is
A. (1, 1)
B. (2, 2)
C. (-2, -2)
D. (3, 3)

Answer 1

Correct Answer - B
Let the required point be P(x, x)
Since `PA=PB`
`implies (PA)^(2)=(PB)^(2)`
`implies (x+1)^(2)+x^(2)=x^(2)+(x-5)^(2)`
`implies x^(2)+1+2x=x^(2)+25-10x`
`implies 12 x =24 implies x=2`
Hence, Required point is (2, 2)