JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

1 of 1

Application +4 | -1

If the axes be turned through an angle

\tan ^{-1} 2

, then the equation

4 x y-3 x^2=a^2

transforms to

View answer and explanation

Correct option: C

X^2-4 Y^2=a^2

Option C (X² - 4Y² = a²) is correct because rotating the axes through the given angle transforms the equation to X² - 4Y² = a².

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