Maths - Online Test
Q1. sin(tan−1 x), | x |<1 is equal to
Answer : Option D
Explaination / Solution:
Q2. A computer salesperson knows from his past
experience that he sells computers to one in every twenty customers who enter
the showroom. What is the probability that he will sell a computer to exactly
two of the next three customers?
Answer : Option A
Explaination / Solution:
Q3. The eccentricity of the
ellipse (x - 3)2 + ( y - 4)2 = y2/9 is
Answer : Option B
Explaination / Solution:
Q4. Which one of the following is not true?
Answer : Option D
Explaination / Solution:
If p
and q are any two statements then p ↔ q is a
tautology.
p ↔ q is actually a contingency.
Q5. The distance between the planes x + 2 y + 3z + 7
= 0 and 2x + 4 y + 6z + 7 = 0 is
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. If ρ ( A) = ρ ([ A | B]) , then the system AX = B of linear equations is
Answer : Option B
Explaination / Solution:
Q7. If α and β are the roots of x2
+ x +1 = 0 , then α 2020 + β 2020 is
Answer : Option B
Explaination / Solution:
Q8. If x∫0 f (t) dt = x + 1∫x tf (t) dt , then the value of f (1)
is
Answer : Option A
Explaination / Solution:
Q9. Integrating factor of the differential equation 
is
is
Answer : Option A
Explaination / Solution:
Q10. If the two tangents drawn
from a point P to the parabola y2 = 4x are at
right angles then the locus of P is
Answer : Option B
Explaination / Solution:
