JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Understanding +4 | -1

Mixed term

x y

is to be removed from the general equation

a x^2+b y^2+2 h x y+2 g x+2 f y+c=0

, one should rotate the axes through an angle

\theta

given by

\tan 2 \theta=

View answer and explanation

Correct option: D

\frac{2 h}{a-b}

Option D (

\frac{{2h}}{{a-b}}

) is correct because it represents the formula for the angle of rotation required to eliminate the xy term in a general conic equation.

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