Mathematics - Online Test
Q1. is divisible by
Answer : Option D
Explaination / Solution:
when n = 1 , we have 50, which is divisible by 25.
Q2. If E is an event, then 
is equal to
is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. The number of spheres of a given radius which touch the coordinate planes is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. If is the identity matrix of order n, the
Answer : Option C
Explaination / Solution:
Inverse of any identity matrix is always an identity matrix.
Q5. If P(n,r) = C(n,r) then
Answer : Option A
Explaination / Solution:
Q6. Derivative of cos (sin x) w.r.t. sin x is
Answer : Option D
Explaination / Solution:
Q7. The value of the quantity P, where 
is equal to
is equal to
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. Find the coordinates of the foot of the perpendicular drawn from the origin to 2x + 3y + 4z – 12 = 0
Answer : Option D
Explaination / Solution:
D.R.’s of the line are < 2 , 3 , 4 > .
Therefore , equation of the line is :
Thus , the coordinates of any point P on the above line are P ( 2 , 3 ,4 ) .
But , this point P also lies on the given plane:
2(2) + 3(3 ) +4(4) – 12 = 0.
Therefore , the coordinates of the foot of perpendicular are given by :
Therefore , equation of the line is :
Thus , the coordinates of any point P on the above line are P ( 2 , 3 ,4 ) .
But , this point P also lies on the given plane:
2(2) + 3(3 ) +4(4) – 12 = 0.
Therefore , the coordinates of the foot of perpendicular are given by :
Q9. The complex numbers z = x + iy ; x , y R which satisfy the equation lies on
Answer : Option D
Explaination / Solution:
Let z=x+iy
Q10. Solution of is
Answer : Option D
Explaination / Solution:
