JEE Main 2025 Mathematics question

MathematicsEllipseJEE Main 2025

The centre of a circle C is at the centre of the ellipse E : , a > b. Let C pass through the foci and of E such that the circle C and the ellipse E intersect at four points. Let P be one of these four points. If the area of the triangle is 30 and the length of the major axis of E is 17, then the distance between the foci of E is:

Answer: (1)

Solution

Using intersection height and area condition, distance between foci .

Question ID VK-002953