Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minPYQ_2008

MathematicsMediumsingle choice

The perpendicular bisector of the line segment joining $P (1, 4)$ and $Q (k, 3)$ has $y$ -intercept - 4. Then a possible value of $k$ is

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Answer:

Solution:

Slope of bisector $= k - 1$ Middle point $= (\frac{k + 1}{2}, \frac{7}{2})$ Equation of bisector is $y - \frac{7}{2} = (k - 1) (x - \frac{( k + 1 )}{2})$ Put $x = 0$ and $y = - 4$ $\Rightarrow k = \pm 4$

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:General (Standard forms)

⏱ 2mℹ️ Source: PYQ_2008

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