NTA Mathematics

Question 1

Which of the following is the derivative of sin(x)?

Accepted Answer

cos(x)

Answer

-cos(x)

Answer

-sin(x)

Answer

tan(x)

Question 2

What is the value of ∫₀¹ x² dx?

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

2/3

Question 3

If A is a 3×3 matrix and det(A) = 5, what is det(2A)?

Accepted Answer

40

Answer

10

Answer

20

Answer

5

Question 4

The sum of the series 1 + 1/2 + 1/4 + 1/8 + … (infinite geometric series) is:

Accepted Answer

2

Answer

1

Answer

3/2

Answer

4/3

Question 5

Which conic section is represented by the equation x²/9 + y²/4 = 1?

Accepted Answer

Ellipse

Answer

Circle

Answer

Parabola

Answer

Hyperbola

Question 6

What is the number of ways to arrange the letters of the word 'EXAM'?

Accepted Answer

24

Answer

12

Answer

48

Answer

6