Jee Advanced 2026 Hyperbola PYQ with Solution

Question

Match each entry in List-I to the correct entry in List-II and choose the correct option.

List-I	List-II
(P) The circle with centre $(1,2)$ and touching the straight line $3x + 4y = 1$ passes through	(1) the point $(1,1)$
(Q) The common tangent to the circle $x^2 + y^2 = 2$ and the parabola $y^2 = 8x$ with positive slope, passes through	(2) the point $(7,9)$
(R) Let $M$ be the end point of the latus rectum of the ellipse $3x^2 + 4y^2 = 48$ such that $M$ lies in the first quadrant. Then the normal to the ellipse drawn at $M$ passes through	(3) the point $(3,2)$
(S) Let $H$ be the hyperbola whose centre is at the origin, one of the foci is at $(5,0)$, and one directrix is $5x + 16 = 0$ Then $H$ passes through	(4) the point $(2,5)$
	(5) the point $(8, 3\sqrt{3})$

Accepted Answer

B

Hyperbola