Let the straight line y=2 x touch a circle with center (0, \alpha), \alpha>0, and radius r at a point A_1. Let B_1 be the point on the circle such that the line segment A_1 B_1 is a diameter of the circle. Let \alpha+r=5+\sqrt{5}. Match each entry in List-I to the correct entry in List-II. List-I List-II (P) α equals (1) (–2, 4) (Q) r equals (2) \sqrt5 (R) A_1 equals (3) (–2, 6) (S) B_1 equals (4) 5 (5) (2, 4) The correct option is [JEE Adv 2024 P1]

Correct Answer is : (P) → (4) (Q) → (2) (R) → (5) (S) → (3)

(P) → (4) (Q) → (2) (R) → (1) (S) → (3)

(P) → (2) (Q) → (4) (R) → (1) (S) → (3)

(P) → (4) (Q) → (2) (R) → (5) (S) → (3)

(P) → (2) (Q) → (4) (R) → (3) (S) → (5)

Circle

Section: Mathematics

Question : 1 of 27

Marks: +1, -0

Let the straight line y=2x touch a circle with center (0,α),α>0, and radius r at a point A1. Let B1 be the point on the circle such that the line segment A1B1 is a diameter of the circle. Let α+r=5+√5.
Match each entry in List-I to the correct entry in List-II.

	List-I		List-II
(P)	α equals	(1)	(–2, 4)
(Q)	r equals	(2)	√5
(R)	A1 equals	(3)	(–2, 6)
(S)	B1 equals	(4)	5
		(5)	(2, 4)

The correct option is

[JEE Adv 2024 P1]

(P) → (4) (Q) → (2) (R) → (1) (S) → (3)
(P) → (2) (Q) → (4) (R) → (1) (S) → (3)
(P) → (4) (Q) → (2) (R) → (5) (S) → (3)
(P) → (2) (Q) → (4) (R) → (3) (S) → (5)

Validate

Go to Question:

Next Question