JEE Main 2023 (10 Apr, Shift 1) Maths Q11: Conic Sections

Question

Let the ellipse

E: x^2+9y^2=9

intersect the positive

x

- and

y

-axes at the points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at the point P. If the area of the triangle with vertices A, P and the origin O is

\frac{m}{n}

, where

m

and

n

are coprime, then

m-n

is equal to

(1) $15$
(2) $16$
(3) $17$ Official answer
(4) $18$

Official answer

Option 3

NTA final key.

Accepted Answer

Option 3: $17$

Answer

$15$

Answer

$16$

Answer

$17$

Answer

$18$

JEE Main 10 April 2023, Shift 1, Maths Q11