NTA Mathematics 2 — Questions and Answers
Question 1: The roots of the quadratic equation x² − 5x + 6 = 0 are:
- 2 and 3 (Correct answer)
- 1 and 6
- −2 and −3
- 2 and −3
Correct answer: 2 and 3
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?
- 5 (Correct answer)
- 4
- 6
- 8
Correct answer: 5
Since 2⁵ = 32, log₂(32) = 5.
Question 3: The slope of the line passing through points (1, 2) and (3, 8) is:
- 3 (Correct answer)
- 2
- 4
- 6
Correct answer: 3
Slope = (8−2)/(3−1) = 6/2 = 3.
Question 4: Which of the following is a prime number?
- 97 (Correct answer)
- 91
- 87
- 93
Correct answer: 97
97 is divisible only by 1 and itself, making it a prime number.
Question 5: The value of sin²θ + cos²θ is always equal to:
- 1 (Correct answer)
- 0
- 2
- −1
Correct answer: 1
The Pythagorean identity states that sin²θ + cos²θ = 1 for all values of θ.
Question 6: What is the area of a circle with radius 7 cm? (Use π ≈ 22/7)
- 154 cm² (Correct answer)
- 144 cm²
- 196 cm²
- 49 cm²
Correct answer: 154 cm²
Area = πr² = (22/7) × 7² = (22/7) × 49 = 154 cm².
NTA Mathematics 2
The roots of the quadratic equation x² − 5x + 6 = 0 are: