CBSE 11TH MATHEMATICS - Online Test
Q1. The coefficient of xn in the expansion of (1+x)(1−x)n is
Answer : Option C
Explaination / Solution:
Q2. If A and B be two sets such that n( A ) = 70 , n ( B ) = 60 , and n ( A ∪ B ) = 110 . Then n ( A ∩ B ) is equal to
Answer : Option D
Explaination / Solution:
Q4. Solve the system of inequalities − 2 < 1 − 3x < 7
Answer : Option B
Explaination / Solution:
Q5. The number of numbers between 105 and 1000 which are divisible by 7 is
Answer : Option B
Explaination / Solution:
Q6. If the median = (mode + 2 mean) μ, then μ is equal to
Answer : Option C
Explaination / Solution:
Q7. The equations of the lines through ( - 1 , - 1 ) and making angles of with the line x + y = 0 are
Answer : Option D
Explaination / Solution:
The lines x+1=0 and y+1=0 are perpendicular to each other.
The slope of the line x+y =0 is -1
Hence the angle made by this line with respect to X axis is 450
In other words the angle made by this line with x+1=0 is 450
Clearly the other line with which it can make 450 is y+1=0
Q8. If x = 5 and y = - 2 , then x – 2y = 9 . The contrapositive of this proposition is
Answer : Option D
Explaination / Solution:
p: x = 5 and y = - 2 , q : x – 2y = 9
The contrapositive of
Hence If x – 2y 9 , then x 5 or y - 2
Q9. The equations x = a cos + b sin , and , 0 2 represent
Answer : Option D
Explaination / Solution:
x = a cos + b sin , and
putting the value of x and y in x2+y2
we get a2+b2
=> x2+y2 =a2+b2
which is quadratic in nature,
coefficient of x2 = coefficient of y2
and no term involving xy
hence its locus represents a circle
