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MathematicsStraight lineGeneral (Standard forms)Medium2 minPYQ_2019
MathematicsMediumsingle choice

Suppose that the pointsh,k,1,2and-3,4lie on the lineL1.If a lineL2passing through the pointsh,kand4,3is perpendicular toL1,thenkhequals:

Question diagram: Suppose that the points h , k , 1 , 2 and - 3 , 4 lie on the

Options:

Answer:
D
Solution:


Slope of lineL1is4-2-3-1=2-4=-12
Hence slope ofL2is2.
From lineL1,  k-2h-1=-12
h+2k=5…..(1)
From lineL2,  k-3h-4=2
k=2h-5..…(2)
From (1) and (2)h=3andk=1
kh=13

Stream:JEESubject:MathematicsTopic:Straight lineSubtopic:General (Standard forms)
2mℹ️ Source: PYQ_2019

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