Maths - Online Test
Q1. If f (x)
= 
is differentiable at x = 1, then
is differentiable at x = 1, then
Answer : Option C
Explaination / Solution:
Q2. 
is
is
Answer : Option C
Explaination / Solution:
Q3. The product of first n odd natural numbers equals
Answer : Option B
Explaination / Solution:
Q4. Ten coins are tossed. The probability of getting at least 8 heads is
Answer : Option D
Explaination / Solution:
Q5. If one of the lines given by 6x2 - xy + 4cy2 = 0 is 3x + 4y = 0,, then c equals to
Answer : Option A
Explaination / Solution:
Q6. The matrix A
satisfying the equation 
is
is
Answer : Option C
Explaination / Solution:
Q7. If the points whose position vectors 10iˆ + 3 ˆj , 12iˆ − 5 ˆj and aiˆ +11ˆj are collinear then a is equal to
Answer : Option D
Explaination / Solution:
Q8. The function f : R → R is defined by f(x) = sin x + cos x is
Answer : Option B
Explaination / Solution:
Q9. Let f be a continuous function on [2, 5]. If f takes only rational values for all x
and f (3) = 12, then f(4.5) is equal to
Answer : Option B
Explaination / Solution:
f is a constant function
Q10. The number of points in R in which the function f (x) =| x − 1| + | x − 3| + sin x is not differentiable, is
Answer : Option B
Explaination / Solution:
