Mathematics - Online Test
Q1. 4 boys and 4 girls are to be seated in a row. The number of ways in which this can be done, if the boys and girls sit alternately, is
Answer : Option B
Explaination / Solution:
there are 4 boys and 4 girls and the row can start either with a boy or girl, therefore the number of ways are 4! x 4! x 2
Q2.
Cartesian equation of a line that passes through two points and is
Answer : Option C
Explaination / Solution:
Cartesian equation of a line that passes through two points and is given by : .
Q3.
If the sides of a triangle be 2x + 1, - 1 and +x +1, then the greatest angle is
Answer : Option D
Explaination / Solution:
Q4. The area enclosed by the curve is equal to
Answer : Option A
Explaination / Solution:
The area of the standard ellipse is given by ;πab. Here , a = 5 and b = 4 Therefore , the area of curve is π(5)(4)=20π.
Q5. In three dimensional space, locus of the equation is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6.
If A and B are invertible matrices of the same order, then is equal to
Answer : Option C
Explaination / Solution:
By the property of inverse is equal to .
Q7. Let f (x) = x – cos x, x∈R, then f is
Answer : Option D
Explaination / Solution:
Hence an increasing function.
Q8.
If is a cube root of unity , then upto 2n factors is
Answer : Option A
Explaination / Solution:
Q9. If A ⊆B , then A∩B is equal to
Answer : Option D
Explaination / Solution:
A ⊆B means Set A is contained in the set B.So common region is The Set A
Q10. The value of the determinant 
Answer : Option A
Explaination / Solution:
expanding along R1
