JEE Advanced Mathematics Multiple Select MCQs with Answers

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JEE-ADVANCED-MSQ Mathematics MSQ 8: 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.

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JEE-ADVANCED-MSQ Mathematics MSQ 9: 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).

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JEE-ADVANCED-MSQ Mathematics MSQ 10: 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 1: 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 2: 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 3: 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 4: 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 5: 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 6: 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 7: 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.