JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1

If the origin is shifted to the point

(a b /(a-b), 0)

without rotation, then the equation

(a-b)\left(x^2+y^2\right)-2 a b x-0

becomes -

View answer and explanation

Correct option: D

(a-b)^2\left(x^2+y^2\right)-a^2 b^2

Option D (

(a-b)^2(x^2+y^2)-a^2 b^2

) is correct because shifting the origin and substituting into the equation leads to this result after simplification.

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