- The radius of the circle

3x^{2}+ by^{2}+ 4bx – 6by + b^{2}= 0 is

(A) 1

(B) 3

(C)√10

(D) √11

- If a
^{→}, b^{→}, c^{→}are three non-coplanar unit vectors such that a^{→}x (b^{→}x c^{→}) = b^{→}+ c^{→}/√2 then the angle between a^{→}and b^{→}is

(A) 𝝅 /2

(B) 3𝝅 /4

(C) 𝝅 /4

(D) 𝝅

- The minimum value of the function |3-x|+9 is

(A) 0

(B) 3

(C) 6

(D) 9

- The HCF of 20, 50 and 80 is

(A) 20

(B) 10

(C) 50

(D) 80

- If the ordered pairs (a + 2,4) and (5,2a+ b) are equal then (a, b) is

(A) (2,-2)

(B) (5,1)

(C) (2,3)

(D) (3,-2)

- If in
**△**ABC, DE||BC AB = 3.6 cm, AC =2.4 cm and AD =2.1 cm then the length of AE is

(A) 1.4 cm

(B) 1.8 cm

(C) 1.2 cm

(D) 1.05 cm

- The point of intersection of 3x- y = 4 and x +y = 8 is

(A) (5,3)

(B) (2,4)

(C) (3,5)

(D) (4,4)

- If sinθ =cosθ, then 2tan
^{2}θ + sin^{2}θ – 1 is equal to

(A) -3/2

(B) 3/2

(C) 2/3

(D) -2/3

- The total surface area of a hemi-sphere is how much times the square of its radius

(A) 𝝅

(B) 4𝝅

(C) 3𝝅

(D) 2𝝅

100. If a and b are chosen randomly from set {1, 2, 3, 4} with replacement, then the probability of the real roots of equation

x^{2} + ax + b = 0 is

(A) 3/16

(B) 5/16

(C) 7/16

(D) 11/16