JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

1 of 1

Application +4 | -1

In order to remove

xy

-term from the equation

5{x^2} + 4\sqrt 3 \;xy + 9{y^2} - 8 = 0

the coordinate axes must be rotated through an angle

View answer and explanation

Correct option: C

\pi /3

Option C (

\pi /3

) is correct because it is the angle required to rotate the coordinate axes to eliminate the

xy

term in the given equation, calculated using the formula

\tan 2\theta = \frac{{2h}}{{a - b}}

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