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KCET Linear Programming — practice questions — page 4

Explore 113 free Linear Programming questions in KCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Linear Programming questions and exercises with answers

Showing questions 91–113 of 113.

Assertion and reason: structureRead the answer and worked solution →Order the steps: test whether A is symmetricRead the answer and worked solution →True or false: orders and shapesRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →True or false: reading the identitiesRead the answer and worked solution →

Worked practice questions

Assertion and reason: structure

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Questions
  1. Reason
    The chapter states this decomposition explicitly.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Any square matrix splits into a symmetric and a skew symmetric part.
  2. Reason
    Addition works entry by entry, so the entries must correspond.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Adding two matrices requires the same order.
  3. Reason
    The inverse of a matrix is unique.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    The transpose swaps rows and columns.
The last round has two true halves that do not explain each other. Source: syllabus Maths Part I, Ch 3 Matrices.

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Order the steps: test whether A is symmetric

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Steps
  1. Confirm A is a square matrix
  2. Write down the transpose A′ by swapping rows and columns
  3. Compare A′ entry by entry with A
  4. If they agree everywhere, A is symmetric
  5. If instead A′ equals −A, it is skew symmetric
Symmetry is checked, not assumed. Source: syllabus Maths Part I, Ch 3 Matrices.

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True or false: orders and shapes

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Questions
  1. Statement is true
    Yes
    Statement
    An m × n matrix has m rows and n columns.
  2. Statement is true
    Yes
    Statement
    A 1 × n matrix is a row matrix.
  3. Statement is true
    No
    Statement
    An m × 1 matrix is a row matrix.
  4. Statement is true
    Yes
    Statement
    A matrix may hold functions as well as numbers.
  5. Statement is true
    No
    Statement
    Every matrix is square.
Reading an order correctly is half the chapter. Source: syllabus Maths Part I, Ch 3 Matrices.

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