Mathematics - Online Test
Q1. The value of tan - cot is equal to
Answer : Option A
Explaination / Solution:
Q2. Find the shortest distance between the lines
Answer : Option C
Explaination / Solution:
Q3. The number of distinguishable ways in which the 4 faces of a regular tetrahedron can be painted with 4 different colours is
Answer : Option C
Explaination / Solution:
We have a regular tetrahedron has 4 faces and we have to colour it with 4 different colours in ways.
But in this we will be getting many overcountings .
We have there are 12 ways in which we can orient a regular tetrahedron
Hence the number of distinct ways of colouring a regular tetrahedron with 4 different colours is
Q4. The locus of the equation xy + yz = 0 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. f A and B are two matrices such that A + B and AB are both defined, then
Answer : Option D
Explaination / Solution:
If A and B are square matrices of same order , both operations A + B and AB are well defined.
Q6. General solution of
Answer : Option D
Explaination / Solution:
Q7. If then is equal to:
Answer : Option A
Explaination / Solution:
Q8. The coefficient of in the binomial expansion of is
Answer : Option C
Explaination / Solution:
Q9. If n (A ) =3 and n ( B ) = 6 and A⊆ B , then n(A∩B) is equal to
Answer : Option B
Explaination / Solution:
Q10. The curve y = is inclined at to the X – axis at (0, 0) but it touches X – axis at (1, 0) , then the values of a, b, c, are given by
Answer : Option B
Explaination / Solution:
At ( 0 , 0) , slope of tangent = = 1. c = 1. At ( 1 ,0 ) , slope of tangent = 0.3a+2b+c=0. Also, when x = 1 , y = 0 , therefore , a + b + c = 0
At ( 0 , 0) , slope of tangent = = 1. c = 1. At ( 1 ,0 ) , slope of tangent = 0.3a+2b+c=0. Also, when x = 1 , y = 0 , therefore , a + b + c = 0
