Questions
If three points and lie on a line then
a
ah+bk=1
b
ah+bk=1
c
ak+bh=1
d
ak+bh=1
detailed solution
Correct option is B
If given points lie on a line, thenh 0 1a b 10 k 1=0Expanding along first row h(b−k)+1⋅(ak−b×0)=0⇒ bh+ak=hk⇒ ah+bk=1Alternatively: Equation of the line joining (h,0) and (0,k) is xh+yk=1 as it makes intercepts h on x-axis and k on y-axisIf the point (a, b) also lies on it. thenah+bk=1Talk to our academic expert!
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The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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