AP EAMCET · Maths · Straight Lines
The transformed equation of \(3 x^2+3 y^2+2 x y=2\), when the coordinate axes are rotated through an angle of \(45^{\circ}\), is
- A \(x^2+2 y^2=1\)
- B \(2 x^2+y^2=1\)
- C \(x^2+y^2=1\)
- D \(x^2+3 y^2=1\)
Answer & Solution
Correct Answer
(B) \(2 x^2+y^2=1\)
Step-by-step Solution
Detailed explanation
Since, the axes are rotated through an angle \(45^{\circ}\), then we replace \((x, y)\) by \(\left(x \cos 45^{\circ}-y \sin 45^{\circ}, x \sin 45^{\circ}+y \cos 45^{\circ}\right)\) ie,…
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