Mathematics - Online Test
Q1. In a ΔABCΔABC , if a sin A = b sin B then the triangle is
Answer : Option C
Explaination / Solution:
Hence the triangle is isosceles.
Q2. The letters of the word ‘SOCIETY’ are arranged in such a manner that the vowels and consonants occur alternately, the number of different words so obtained is
Answer : Option B
Explaination / Solution:
there are four consonants and 3 vowels, therefore 3! * 4!
Q3. The area of the curve is
Answer : Option C
Explaination / Solution:
Given equation is of a circle ; Its radius is equal to a. Therefore required area is =
Q4. The distance of the point ( x , y , z ) from the XY –plane is
Answer : Option D
Explaination / Solution:
Let L be the foot of perpendicular segment from the point P (x,y,z) on XY plane
Now since L is the foot of perpendicular on XY plane so z coordinate will be zero so the point L will be (x,y,0)
then distance between these two will be = = |z|
Q5. If , then
Answer : Option A
Explaination / Solution:
If any row or column of a square matrix is 0 , then its product with itself is always a zero matrix.
Q6. In the function f (x) = is
Answer : Option D
Explaination / Solution:
Hence an increasing function.
Q7. If |z−2|=|z−6| then locus of z is given by :
Answer : Option D
Explaination / Solution:
We have any line of the form x=a constant is a line parallel to Y-axis.
Q8. If A ⊆B , then A∪B is equal to
Answer : Option D
Explaination / Solution:
A ⊆B refers to A set is contained in the Set B.So Set B is bigger.So union the sets will be B
Q9. 
then det. A is equal to
then det. A is equal to
Answer : Option A
Explaination / Solution:
Q10. The two consecutive terms in the expansion of , which have equal coefficients, are
Answer : Option A
Explaination / Solution:
