Maths - Online Test
Q1. If the distance of the point (1,1,1) from the
origin is half of its distance from the plane x + y + z + k = 0 , then the values of k are
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. let A= 
, and 4B = 
, If B is the inverse of A , then the value of x is
, and 4B = , If B is the inverse of A , then the value of x is
Answer : Option D
Explaination / Solution:
Q3. The value of 
is
is
Answer : Option A
Explaination / Solution:
Q4. If the solution of the differential equation 
represents
a circle, then the value of a is
represents
a circle, then the value of a is
Answer : Option B
Explaination / Solution:
Q5. The values of m for
which the line y = mx + 2√5 touches the hyperbola 16x2 −
9 y2 = 144 are the roots of x2 − (a + b)x − 4 =
0 , then the value of (a + b) is
Answer : Option C
Explaination / Solution:
Q6. If the planes 
.(2 ˆi - λ ˆj + ˆk ) = 3 and .(4 ˆi + ˆj - μ ˆk ) = 5 are parallel, then the value of λ
and μ are
.(2 ˆi - λ ˆj + ˆk ) = 3 and .(4 ˆi + ˆj - μ ˆk ) = 5 are parallel, then the value of λ
and μ are
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. If A= 
, then
adj(adj A) is
, then
adj(adj A) is
Answer : Option A
Explaination / Solution:
Q8. If ω = cis (2π/3),
then the number of distinct roots of 
Answer : Option A
Explaination / Solution:
Q9. The slope at any point of a curve y
= f (x) is given by dy/dx = 3x2 and it passes through (-1,1). Then the equation of
the curve is
Answer : Option A
Explaination / Solution:
Q10. If the coordinates at one
end of a diameter of the circle x2 + y2 − 8x
− 4 y + c = 0 are (11, 2) , the coordinates of the other end
are
Answer : Option B
Explaination / Solution:
