The perpendicular bisector ofthe line segment joining P(1,4) and Q(K,3)has Y intercept -4 then a possible value of K is (1) `-4` (2) `1`(3)` 2 `(4) `-2`

Explanation

if two lines are `_|_` then

`m_1 * m_2 = -1`

`m_2 = (4-3)/(1-k) = 1/(1-k)`

`AB _|_ PQ`

`m_1 * m_2 = -1`

`m_1 = -1/m_2 = k-1`

`C= ((1+k)/2, (4+3)/2) = ((1+k)/2, 7/2)`

eqn of line AB is `(y- 7/2)/(x - ((1+k)/2))= k-1`

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