Maths - Online Test
Q1. The equation tan-1x
- cot-1 x = tan-1 ( 1/√3) has
Answer : Option B
Explaination / Solution:
Q2.
The probability mass function of a random variable is
defined as:
Answer : Option D
Explaination / Solution:
Q3. Consider an ellipse whose
centre is of the origin and its major axis is along x-axis. If its
eccentrcity is 3/5 and the distance between its foci is 6, then the area of the
quadrilateral inscribed in the ellipse with diagonals as major and minor axis
of the ellipse is
Answer : Option D
Explaination / Solution:
Q4. The dual of ¬ ( p ∨ q)
∨ [ p ∨( p ¬r)] is
Answer : Option D
Explaination / Solution:
Q5. The angle between the line 
= (ˆ i + 2 ˆ j - 3 ˆ k ) + t(2 ˆ i + ˆ j - 2 ˆ k ) and the plane = (ˆ i + ˆ j) + 4 = 0 is
= (ˆ i + 2 ˆ j - 3 ˆ k ) + t(2 ˆ i + ˆ j - 2 ˆ k ) and the plane = (ˆ i + ˆ j) + 4 = 0 is
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. The maximum value of the product of two positive
numbers, when their sum of the squares is 200, is
Answer : Option A
Explaination / Solution:
Q7. The rank of the matrix 
is
is
Answer : Option A
Explaination / Solution:
Q8. If (1+ i) (1+ 2i) (1+ 3i)L(1+ ni) = x + iy , then 2 ⋅ 5 ⋅10L(1+ n2 ) is
Answer : Option C
Explaination / Solution:
Q9. The value of 1∫0 (sin−1 x )2 dx is
Answer : Option D
Explaination / Solution:
Q10. If sin x is
the integrating factor of the linear differential equation dy/dx+ Py = Q , then P is
Answer : Option D
Explaination / Solution:
