1.

If (p,q) is a point on x-axis, which is equidistant from (1,2) and (2,3). Find p and q :A. `p=0, q=4`B. `p=4, q=0`C. `p=3//2, q=0`D. `p=1, q=0`

Answer» Correct Answer - B
Since (p, q) is the point on the x-axis
`:. q=0`
Let `P=(p, 0)`
`A=(1, 2)` and `B=(2, 3)`
Given : `PA=PB`
`implies PA^(2)=PB^(2)`
`implies (1-p)^(2)+4=(2-p)^(2)+9`
`implies 1+p^(2)-2p-4-p^(2) +4p=5`
`implies 2p=8`
`implies p=4`
Hence, `p=4, q=0`


Discussion

No Comment Found

Related InterviewSolutions