Class 12 Mathematics Practice Quiz (Mixed Topics)
Multiple Choice Questions (MCQs)
1. Q1. If A = [[1,2],[3,4]], then det(A) = ?
Answer: -2
2. Q2. The derivative of sin⁻¹(x) is ?
Answer: 1/√(1-x²)
3. Q3. If a = 2i + 3j and b = i - 4j, then a·b = ?
Answer: -10
4. Q4. ∫ eˣ dx =
Answer: eˣ + C
5. Q5. If P(A) = 3/5, then P(A') = ?
Answer: 2/5
Short Answer Questions
6. Q6. Find k so that [[1,2,3],[2,4,6],[1,k,1]] is singular.
Answer: Singular for all real k.
7. Q7. Differentiate xˣ.
Answer: d/dx(xˣ) = xˣ(lnx + 1).
8. Q8. Evaluate ∫₀¹(3x² + 2x + 1) dx.
Answer: 3.
9. Q9. Equation of plane through (1, -2, 3) ⟂ (2i + j - k).
Answer: 2x + y - z + 3 = 0.
10. Q10. If P(X)=1/3, P(Y)=1/4, independent, find P(X∪Y).
Answer: 1/2.
Multiple Choice Questions (MCQs)
1. Q1. If A = [[1,2],[3,4]], then det(A) = ?
Answer: -2
2. Q2. The derivative of sin⁻¹(x) is ?
Answer: 1/√(1-x²)
3. Q3. If a = 2i + 3j and b = i - 4j, then a·b = ?
Answer: -10
4. Q4. ∫ eˣ dx =
Answer: eˣ + C
5. Q5. If P(A) = 3/5, then P(A') = ?
Answer: 2/5
Short Answer Questions
6. Q6. Find k so that [[1,2,3],[2,4,6],[1,k,1]] is singular.
Answer: Singular for all real k.
7. Q7. Differentiate xˣ.
Answer: d/dx(xˣ) = xˣ(lnx + 1).
8. Q8. Evaluate ∫₀¹(3x² + 2x + 1) dx.
Answer: 3.
9. Q9. Equation of plane through (1, -2, 3) ⟂ (2i + j - k).
Answer: 2x + y - z + 3 = 0.
10. Q10. If P(X)=1/3, P(Y)=1/4, independent, find P(X∪Y).
Answer: 1/2.
