IIT JEE Mathematics - Revision Problem Set 5

1. A six faced fair dice will be thrown until 1 comes. The probability that 1 comes in even number of trials is

a. 3/11. b. 5/6 c. 5/11 d. 6/11 e. 1/6

2. The angle between the tangents drawn from the point (1, 4) to the parabola y² = 4x is

a. π/6 b. π/4 c. π/3 d. π/2

3. Given 2x − y − 2z = 2, x − 2y + z = − 4, x + y + λz = 4 then the value of λ such that the given system of equation has NO solution, is

(A) 3 (B) 1
(C) 0 (D) − 3

4. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to
(A) x < −10 (B) −10 < x
(C) 0 < x < 10 (D) x > 10

5. If one of the diameters of the circle x² + y² − 2x − 6y + 6 = 0 is a chord to the circle with centre (2, 1), then
the radius of the circle is
(A) 3 (B) 2
(C) √3 (D) √2


Probs 2 to 5 are from JEE 2004