Let the tangent and normal at the point (3 \sqrt{3}, 1) on the ellipse \frac{x^2}{36}+\frac{y^2}{4}=1 meet the y-axis at the points A and {\B} respectively. Let the circle {\C} be drawn taking {\AB} as a diameter and the line {\x}=2 \sqrt{5} intersect {\C} at the points P and Q. If the tangents at the points P and Q on the circle intersect at the point (\alpha, \beta), then \alpha^2-\beta^2 is equal to [13-Apr-2023 shift 1]

JEE Mains 13-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Let the tangent and normal at the point (3√3,1) on the ellipse ‌

+‌

=1 meet the y-axis at the points A and B respectively. Let the circle C be drawn taking AB as a diameter and the line x=2√5 intersect C at the points P and Q. If the tangents at the points P and Q on the circle intersect at the point (α,β), then α2−β2 is equal to

[13-Apr-2023 shift 1]

‌
304
5
60
‌
314
5
61

Validate

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