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CUET UG Mathematics — practice by topic

Browse 188 questions across 6 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Vector Algebra and 3D Geometry (40)Integrals and Applications (38)Continuity, Differentiability & Derivatives (36)Linear Programming (36)Determinants (19)Matrices and Determinants (19)

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A determinant can be associated with which kind of matrix?Read the answer and worked solution →Determinants here are studied up to which order?Read the answer and worked solution →Expanding a determinant along different rows gives:Read the answer and worked solution →For easier work, expand along the row or column with most:Read the answer and worked solution →

Worked practice questions

A determinant can be associated with which kind of matrix?

  1. Square matrix
  2. Row matrix on
  3. Wide rectangle
  4. Tall rectangle
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Correct answer: A. Square matrix

1. Determinants need equal numbers of rows and columns. 2. Only then is the value defined. 3. Every square matrix has a determinant. 4. So the answer is a square matrix. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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Determinants here are studied up to which order?

  1. Nine
  2. Three
  3. Seven
  4. Eight
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Correct answer: B. Three

1. Higher orders follow the same pattern but grow long. 2. Only the manageable cases are covered here. 3. Determinants are studied up to order three. 4. So the answer is three. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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Expanding a determinant along different rows gives:

  1. Always a zero
  2. Only positives
  3. The same value
  4. Different value
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Correct answer: C. The same value

1. A determinant is a single number for the matrix. 2. The route to it does not change what it is. 3. Expanding along any row or column gives the same value. 4. So the answer is the same value. _Source: syllabus Mathematics, Ch 4 'Determinants'_

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