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KCET Limits and Continuity — practice questions — page 3

Explore 110 free Limits and Continuity questions in KCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Limits and Continuity questions and exercises with answers

Showing questions 61–90 of 110.

Spot the odd oneRead the answer and worked solution →Complete the second derivative testRead the answer and worked solution →True or false: scope of this chapterRead the answer and worked solution →Match each kind of matrix to its conditionRead the answer and worked solution →Sort each matrix by its shapeRead the answer and worked solution →Tap every matrix that must be squareRead the answer and worked solution →Complete the definition of a matrixRead the answer and worked solution →When is a product defined?Read the answer and worked solution →True or false: transposesRead the answer and worked solution →Symmetric or skew symmetric?Read the answer and worked solution →True or false: matrix algebraRead the answer and worked solution →Complete the equality conditionRead the answer and worked solution →Order the steps: is AB defined, and what order is it?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Special square matricesRead 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 →Tap every statement true of the identity matrixRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →True or false: inversesRead the answer and worked solution →Complete the scalar multiplication rulesRead the answer and worked solution →Which operation needs matching orders?Read the answer and worked solution →Spot the odd one outRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →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 →

Worked practice questions

Spot the odd one

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Questions
  1. Items
    1. Increasing
    2. Decreasing
    3. Constant
    4. Continuous
    Odd item
    Continuous
  2. Items
    1. Absolute maximum
    2. Local maximum
    3. Local minimum
    Odd item
    Absolute maximum
  3. Items
    1. f ′(c) = 0
    2. f(c) < 0
    3. f ″(c) < 0
    Odd item
    f(c) < 0
Grouped by which decision each belongs to. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.

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Complete the second derivative test

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Missing parts
  1. Answer
    maxima
    Choices
    1. maxima
    2. minima
    3. inflexion
  2. Answer
    minima
    Choices
    1. maxima
    2. minima
    3. inflexion
  3. Answer
    fails
    Choices
    1. fails
    2. still applies
    3. gives inflexion
Complete the statement
If f ′(c) = 0 and f ″(c) < 0 then c is a point of local {0}. If f ′(c) = 0 and f ″(c) > 0 then c is a point of local {1}. If f ″(c) = 0 as well, the test {2}.
Both halves of the test, plus the case where it gives up. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.

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True or false: scope of this chapter

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Questions
  1. Statement is true
    Yes
    Statement
    This chapter covers increasing and decreasing functions.
  2. Statement is true
    Yes
    Statement
    This chapter gives a working rule for absolute maxima.
  3. Statement is true
    Yes
    Statement
    This chapter defines a critical point.
  4. Statement is true
    No
    Statement
    A point of inflexion is a kind of local maximum.
  5. Statement is true
    Yes
    Statement
    The first derivative test needs f continuous at the critical point.
Keeps the topic honest about what the current edition contains. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.

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