TS EAMCET · Maths · Parabola
If the axes are rotated anticlockwise through an angle \(90^{\circ}\), then the equation \(x^2=4 \alpha y\) is changed to the equation
- A \(y^2=4 a x\)
- B \(x^2=-4 a y\)
- C \(y^2=-4 a x\)
- D \(x^2=4 a y\)
Answer & Solution
Correct Answer
(A) \(y^2=4 a x\)
Step-by-step Solution
Detailed explanation
Given, equation of parabola \( x^2=4 a y \) Then, On rotating the axes anti-clockwise through angle \(90^{\circ}\), \(X\)-axis becomes \(Y\)-axis and \(Y\)-axis becomes \(X\)-axis. Therefore, the equation of new parabola after rotation is \(y^2=4 a x\).
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