AP EAMCET · Maths · Parabola
If the coordinates of the ends of a focal chord of the parabola \(x^2=4\) ay are \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\), then
- A \(y_1 y_2=4 a^2\)
- B \(y_1 y_2=-4 a^2\)
- C \(y_1 y_2=-a^2\)
- D \(y_1 y_2=a^2\)
Answer & Solution
Correct Answer
(D) \(y_1 y_2=a^2\)
Step-by-step Solution
Detailed explanation
Given parabola, \(x^2=4 a y\) Let point on parabola is \(\left(2 a t_1, a t_1^2\right)\) and \(\left(2 a t_2, a t_2^2\right)\) Now, \(\left(2 a t_1, a t_1^2\right)\) and \(\left(2 a t_2, a t_2^2\right)\) are end points of a focal chord of parabola.…
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