CBSE 12TH MATHEMATICS - Online Test
Q2. If a vector is expressed in component form as then the magnitude of the vectoris
Answer : Option D
Explaination / Solution:
Q3. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E)
Answer : Option A
Explaination / Solution:
We have ,
P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, then ,
P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, then ,
Q4. equals
Answer : Option A
Explaination / Solution:
we know that sin−1x+cos−1x=π2sin(sin−112+cos−112)=sin(π2)=1
Q5. The derivative of f(x) = | x | at x = 0 is
Answer : Option B
Explaination / Solution:
which does not exist at x = 0 .
Q6. Find the cartesian equations of the lines that passes through the origin and (5, – 2, 3).
Answer : Option C
Explaination / Solution:
The coordinates of the origin are ( 0 , 0 ,0 ) , therefore , , and l = 5 , m = - 2 and n = 3 ,
therefore the equation in Cartesian form is given by:
i.e. .
therefore the equation in Cartesian form is given by:
i.e. .
Q7. General solution of is
Answer : Option B
Explaination / Solution:
Q9.
The function f (x) = is strict decreasing in the interval
Answer : Option D
Explaination / Solution:
f ‘ (x )=2x – 2 = 2 ( x - 1) <0 if x < 1 i.e. x x∈(−∞,1). Hence f is strict decreasing in left decreasing in(−∞,1)
Q10. The area of the region bounded by the curves y = and y = 3 - is
Answer : Option C
Explaination / Solution:
