jee-advanced-msq MCQs with Answers

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 20: For a real 2×2 matrix A, select all correct statements.

A. If det(A)≠0, A is invertible. B. det(AB)=det(A)det(B). C. If det(A)=0, the rows must be linearly independent. D. The identity matrix has determinant 1.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 21: Let a and b be positive real numbers. Select all correct statements.

A. a+b≥2√(ab). B. (a+b)/2≥√(ab). C. a²+b²≥2ab. D. a+b is always less than 2√(ab).

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 22: For real-valued functions, select all statements that are always true.

A. Differentiability at a point implies continuity there. B. Continuity at a point implies differentiability there. C. Every polynomial is differentiable for all real x. D. The function |x| is differentiable at x=0.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 23: For a real 2×2 matrix A, select all correct statements.

A. If det(A)≠0, A is invertible. B. det(AB)=det(A)det(B). C. If det(A)=0, the rows must be linearly independent. D. The identity matrix has determinant 1.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 24: Let a and b be positive real numbers. Select all correct statements.

A. a+b≥2√(ab). B. (a+b)/2≥√(ab). C. a²+b²≥2ab. D. a+b is always less than 2√(ab).

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 25: For real-valued functions, select all statements that are always true.

A. Differentiability at a point implies continuity there. B. Continuity at a point implies differentiability there. C. Every polynomial is differentiable for all real x. D. The function |x| is differentiable at x=0.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 26: For a real 2×2 matrix A, select all correct statements.

A. If det(A)≠0, A is invertible. B. det(AB)=det(A)det(B). C. If det(A)=0, the rows must be linearly independent. D. The identity matrix has determinant 1.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 27: Let a and b be positive real numbers. Select all correct statements.

A. a+b≥2√(ab). B. (a+b)/2≥√(ab). C. a²+b²≥2ab. D. a+b is always less than 2√(ab).

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 28: For real-valued functions, select all statements that are always true.

A. Differentiability at a point implies continuity there. B. Continuity at a point implies differentiability there. C. Every polynomial is differentiable for all real x. D. The function |x| is differentiable at x=0.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 29: For a real 2×2 matrix A, select all correct statements.

A. If det(A)≠0, A is invertible. B. det(AB)=det(A)det(B). C. If det(A)=0, the rows must be linearly independent. D. The identity matrix has determinant 1.

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 30: Let a and b be positive real numbers. Select all correct statements.

A. a+b≥2√(ab). B. (a+b)/2≥√(ab). C. a²+b²≥2ab. D. a+b is always less than 2√(ab).

jee-advanced-msq JEE Advanced Mathematics Multiple Select IndiaMedium

JEE-ADVANCED-MSQ Mathematics MSQ 19: For real-valued functions, select all statements that are always true.

A. Differentiability at a point implies continuity there. B. Continuity at a point implies differentiability there. C. Every polynomial is differentiable for all real x. D. The function |x| is differentiable at x=0.