AP EAMCET · Maths · Straight Lines
The transformed equation \(3 x^2+3 y^2+2 x y=2\), when the coordinate axes are rotated through an angle \(45^{\circ}\) 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
Given, equation is \(3 x^2+3 y^2+2 x y=2 \ldots\) (i) When coordinate axis are rotated through an angle \(\theta\), then \[ x=X \cos \theta-Y \sin \theta \text { and } y=X \sin \theta+Y \cos \theta \] where, \((X, Y)\) is new coordinate after transformation. Given,…
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