JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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Application +4 | -1

If the angle between the lines

\frac{x}{a}+\frac{y}{b}=1, \frac{x}{a}-\frac{y}{b}=1

has measure

\alpha

, then

\tan \alpha=\ldots \ldots

View answer and explanation

Correct option: D

\left|\frac{2 a b}{a^2-b^2}\right|

Option D is correct. The angle between two lines is given by

\tan \alpha = \left|\frac{m_1 - m_2}{1 + m_1 m_2}\right|

. Substituting the slopes of the given lines, we get

\tan \alpha = \left|\frac{2 a b}{a^2 - b^2}\right|

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