JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

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Application +4 | -1

The transformed equation of

3{x^2} + 3{y^2} + 2xy = 2

, when the coordinate axes are rotated through an angle of

45^\circ

, is

View answer and explanation

Correct option: B

2{x^2} + {y^2} = 1

Option B (

2{x^2} + {y^2} = 1

) is correct because after rotating the axes by 45 degrees, the transformed equation is

2{x^2} + {y^2} = 1

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