JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Understanding +4 | -1

If by rotating the coordinate axes without translating the origin, the expression

a_1 x^2+2 h_1 x y+b_1 y^2

becomes

a_2 X^2+2 h_2 X Y+b_2 Y^2

, then

View answer and explanation

Correct option: C

a_1 b_1-h_1^2=a_2 b_2-h_2^2

Option C is correct because

a_1b_1 - h_1^2

is invariant under rotation of axes.

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