AP EAMCET · Maths · Straight Lines
When the coordinate axes are rotated by an angle \(\tan ^{-1}\left(\frac{3}{4}\right)\) about the origin, then the equation \(x^2+y^2=9\) is transformed to the equation.
- A \(x^2-y^2=9\)
- B \(x^2+y^2+2 x y=4\)
- C \(x^2+y^2=9\)
- D \(x^2-y^2+9=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2=9\)
Step-by-step Solution
Detailed explanation
When the coordinate axis rotated by are angle \(\theta\) about origin, then \[ \begin{aligned} & \quad x=\cos \theta x_1-\sin \theta y_1 \text { and } \\ & y=\sin \theta x_1+\cos \theta y_1 \\ & \text { Here, } \theta=\tan ^{-1} \frac{3}{4} \end{aligned} \]…
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