Mathematics - Online Test
Q1. General solution of a given differential equation
Answer : Option C
Explaination / Solution:
The general solution of differential equation contains arbitrary constants equal to the order of differential equaition.
Q2. Shortest distance between is
Answer : Option A
Explaination / Solution:
Shortest distance between
is given by :
is given by :
Q3.
In a triangle ABC, a = 2b and then angle A is
Answer : Option D
Explaination / Solution:
Q4. The number of different ways in which a man can invite one or more of his 6 friends to dinner is?
Answer : Option B
Explaination / Solution:
He can invite any one friend in 6C1 ways= 6 ways:
He can invite any two friends in 6C2 ways = 15 ways
He can invite any three friends in 6C3 ways =20 ways
He can invite any 4 friends in 6C4ways = 15 ways
He can invite any 5 friends in 6C5 ways = 6 ways
He can invite all the 6 friends in 6C6 ways= 1 way.
Since any one of these could happen total possibilities are, 6+15+20+15+6+1 = 63.
Q5. The lines having drs as a1a2+b1b2+c1c2=0 are
Answer : Option C
Explaination / Solution:
Hence lines are perpendicular
Q6. Let A be any matrix, then can be found only when
Answer : Option B
Explaination / Solution:
The product of any matrix with itself can be found only when it is a square matrix.i.e. m=n.
Q7. up to 2k + 1 terms , for all k belongs to natural numbers N .
Answer : Option B
Explaination / Solution:
Q8. If A and B are two sets , then A∩(A∪B) is equal to
Answer : Option A
Explaination / Solution:
LetA={1,2,3,4}andB={1,2,3,4,5,6}HereA∪B={1,2,3,4,5,6}NowA∩(A∪B)={1,2,3,4,}=A
Q9. The term independent of x in the expansion of is
Answer : Option B
Explaination / Solution:
Q10. The area bounded by the curve and y – axis is equal to
Answer : Option B
Explaination / Solution:
Required area :
= = =sq.units
