Maths - Online Test

Q1. If x3 +12x2 +10ax +1999 definitely has a positive zero, if and only if
Answer : Option C
Explaination / Solution:


Q2. The domain of the function defined by f (x) = sin-1√(x-1) is
Answer : Option A
Explaination / Solution:


Q3.

Four buses carrying 160 students from the same school arrive at a football stadium. The buses carry, respectively, 42, 36, 34, and 48 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying the randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on that bus.

Then E(X) and E(Y) respectively are
Answer : Option C
Explaination / Solution:



Q4. If P(x, y) be any point on 16x2 + 25 y2 = 400 with foci F1 (3, 0) and F2 (−3, 0) then PF1 + PF2 is
Answer : Option C
Explaination / Solution:


Q5. Which one of the following statements has the truth valueT ?
Answer : Option D
Explaination / Solution:
No Explaination.


Q6. If  and , then the value of λ + μ is
Answer : Option A
Explaination / Solution:
No Explaination.


Q7. Angle between y2 = x and x2 = y at the origin is
Answer : Option C
Explaination / Solution:



Q8. If A, B and C are invertible matrices of some order, then which one of the following is not true?
Answer : Option B
Explaination / Solution:


Q9. The approximate change in the volume V of a cube of side x metres caused by increasing the side by 1% is
Answer : Option C
Explaination / Solution:



Q10. If | z | = 1, then the value of  is
Answer : Option A
Explaination / Solution: