Suppose that the points (h, k), (1,2) and (-3, 4) lie on the line ${L_{\rm{1}}}.$ If a line ${L_2}$ passing through the points (h, k) and (4, 3) is perpendicular to ${L_{\rm{1}}},$ then k/ h equals

JEE MATHEMATICS MCQ: STRAIGHT LINES

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Suppose that the points (h, k), (1,2) and (-3, 4) lie on the line

{L_\mathrm{1}}.

If a line

{L_2}

passing through the points (h, k) and (4, 3) is perpendicular to

{L_\mathrm{1}},

then k/ h equals

View answer and explanation

Correct option: C

Option C (3) is correct because by finding the slopes of the lines and using the perpendicularity condition, we can solve for h and k, and then find k/h.

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