Explore topic-wise MCQs in Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 2t3/3 + 3t2/2 + t + 15. What is the minimum velocity?

A. 1 cm/sec
B. 2 cm/sec
C. 3 cm/sec
D. 4 cm/sec
Answer» B. 2 cm/sec
2.

A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 2t3/3 + 3t2/2 + t + 15. At what time is the velocity minimum?

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
3.

At which point does f(x) = |x 1| has itslocal minimum?

A. They are unequal
B. They are equal
C. Depend on the numbers
D. Can t be predicted
Answer» C. Depend on the numbers
4.

Given, f(x) = x3 12x2 + 45x + 8. What is the minimum value of f(x)?

A. -1
B. 0
C. 1
D. Value does not exist
Answer» D. Value does not exist
5.

Given, f(x) = x3 12x2 + 45x + 8. At which point does f(x) has its minimum?

A. 1
B. 7
C. 3
D. 5
Answer» E.
6.

Given, f(x) = x3 12x2 + 45x + 8. What is the maximum value of f(x)?

A. 61
B. 62
C. 63
D. 54
Answer» C. 63
7.

Given, f(x) = x3 12x2 + 45x + 8. At which point does f(x) has its maximum?

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
8.

What will be the nature of the equation sin(x + )/sin(x + )?

A. Possess only minimum value
B. Possess only maximum value
C. Does not possess a maximum or minimum value
D. Data inadequate
Answer» D. Data inadequate