AP EAMCET · Maths · Pair of Lines
If the axes are rotated through an angle ' \(\alpha\) ', then the number of values of \(\alpha\) such that the transformed equation of \(x^2+y^2+2 x+2 y-5=0\) contains no linear terms is
- A \(0\)
- B \(1\)
- C \(2\)
- D infinite
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \quad x^2+y^2+2 x+2 y-5=0 \\ & \text { Let } x=\mathrm{X} \cos \alpha-\mathrm{Y} \sin \alpha \text { and } y=\mathrm{X} \sin \alpha+\mathrm{Y} \cos \alpha \\ & \therefore(\mathrm{X} \cos \alpha-\mathrm{Y} \sin \alpha)^2+(\mathrm{X} \sin \alpha+\mathrm{Y} \cos…
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