NTA Mathematics 2

Question 1

The roots of the quadratic equation x² − 5x + 6 = 0 are:

Accepted Answer

2 and 3

Answer

Factoring gives (x−2)(x−3) = 0, so the roots are x = 2 and x = 3.

Question 2

If log₂(32) = x, what is x?

Accepted Answer

5

Answer

Since 2⁵ = 32, log₂(32) = 5.

Question 3

The slope of the line passing through points (1, 2) and (3, 8) is:

Accepted Answer

3

Answer

Slope = (8−2)/(3−1) = 6/2 = 3.

Question 4

Which of the following is a prime number?

Accepted Answer

97

Answer

97 is divisible only by 1 and itself, making it a prime number.

Question 5

The value of sin²θ + cos²θ is always equal to:

Accepted Answer

1

Answer

The Pythagorean identity states that sin²θ + cos²θ = 1 for all values of θ.

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