JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1

The equation of a pair of straight lines is

a x^2+2 h x y+b y^2=0

. By what angle must the axes be rotated so that the term containing

x y

in the equation may be removed?

View answer and explanation

Correct option: B

\frac{1}{2} \tan ^{-1}\left(\frac{2 h}{a-b}\right)

Option B (

\frac{1}{2} \tan ^{-1}\left(\frac{2 h}{a-b}\right)

) is correct because it gives the angle required to rotate the axes to eliminate the xy term in the given equation.

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