Maths - Online Test
Q1. If the direction cosines of a line are 
then
then
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. If 0 ≤ θ ≤ π and
the system of equations x + (sinθ ) y − (cosθ )z
= 0, (cosθ )x − y + z = 0, (sinθ )x +
y − z = 0 has a non-trivial solution then θ is
Answer : Option D
Explaination / Solution:
Q3. The product of all four
values of 
is
is
Answer : Option C
Explaination / Solution:
Q4. The population P in any year t is such that the rate of increase in the population
is proportional to the population. Then
Answer : Option A
Explaination / Solution:
Q5. The circle passing through
(1, −2) and touching the axis of x at (3, 0) passing through the point
Answer : Option C
Explaination / Solution:
Q6. The vector equation points 
= (ˆ i - 2 ˆ j - ˆ k ) + t(6 ˆ i - ˆ k ) represents a straight line passing through the
= (ˆ i - 2 ˆ j - ˆ k ) + t(6 ˆ i - ˆ k ) represents a straight line passing through the
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The augmented matrix of a
system of linear equations is 
. The system has infinitely many solutions if
. The system has infinitely many solutions if
Answer : Option D
Explaination / Solution:
Q8. If ω ≠ 1 is a cubic root of unity and 
= 3k
then k is equal to
= 3k
then k is equal to
Answer : Option D
Explaination / Solution:
Q9. P is the amount of certain substance left in
after time t. If the rate of
evaporation of the substance is proportional to the amount remaining, then
Answer : Option B
Explaination / Solution:
Q10. The locus of a point whose
distance from (−2, 0) is 2/3 times its distance from the line x=-9/2 is
Answer : Option C
Explaination / Solution:
