Maths - Online Test
Q1.
Suppose that x takes on one of the values 0, 1, and 2. If for some constant k, P (X = i ) = k P ( X = i −1) for i = 1, 2 and P ( x = 0 ) = 1/7 , then the value of k is
Answer : Option B
Explaination / Solution:
Q2.
Tangents are drawn to
the hyperbola 
parallel to the straight line 2x − y =
1. One ofthe points of contact of tangents on the hyperbola is
Answer : Option C
Explaination / Solution:
Q3. In the last column of the truth table for ¬ ( p ∨¬q) the number of final outcomes of the truth value
' F ' are
Answer : Option C
Explaination / Solution:
Q4. If 
then a vector
perpendicular to 
and lies in the plane containing 
and 
is
then a vector
perpendicular to and lies in the plane containing and is
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. The maximum slope of the tangent to the curve y = ex sin x ,
x ∈[0, 2π ] is at
Answer : Option B
Explaination / Solution:
Q6. if A = 
, and A(adj A) = 
, then k=
, and A(adj A) = , then k=
Answer : Option D
Explaination / Solution:
Q7. If f (
x, y , z) = xy + yz + zx , then fx
− fz is equal to
Answer : Option A
Explaination / Solution:
Q8. If z = x + iy is a complex number such that | z + 2 | = | z − 2 | , then the locus of z
is
Answer : Option B
Explaination / Solution:
Q9. If 
then a is
then a is
Answer : Option D
Explaination / Solution:
Q10. The general solution of the differential equation 
= x + y is
= x + y is
Answer : Option B
Explaination / Solution:
