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Karnataka SSLC (Class 10) Algebra: Expansions, Factorisation & Indices — practice questions — page 2

Explore 36 free Algebra: Expansions, Factorisation & Indices questions in Karnataka SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: Expansions, Factorisation & Indices questions and exercises with answers

Showing questions 31–36 of 36.

Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →Order the steps: test three points for collinearityRead the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →True or false: slopeRead the answer and worked solution →

Worked practice questions

Match each condition to what it tells you

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Matching pairs
  1. Left
    Slopes are equal
    Right
    the lines are parallel
  2. Left
    Product of slopes is −1
    Right
    the lines are perpendicular
  3. Left
    Slope of AB equals slope of BC
    Right
    A, B and C are collinear
The three tests the chapter gives. Source: syllabus Maths, Ch 9 Straight Lines.

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Parallel, perpendicular, or neither?

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Questions
  1. Question
    Two lines with equal slopes are
    Choices
    1. perpendicular
    2. parallel
    3. neither
    Correct choice
    parallel
  2. Question
    Two lines whose slopes multiply to −1 are
    Choices
    1. parallel
    2. neither
    3. perpendicular
    Correct choice
    perpendicular
  3. Question
    Slopes 2 and −1/2 mean the lines are
    Choices
    1. perpendicular
    2. parallel
    3. neither
    Correct choice
    perpendicular
  4. Question
    Slopes 3 and 3 mean the lines are
    Choices
    1. perpendicular
    2. parallel
    3. neither
    Correct choice
    parallel
Two conditions decide it. Source: syllabus Maths, Ch 9 Straight Lines.

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Order the steps: test three points for collinearity

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Steps
  1. Label the three points A, B and C
  2. Compute the slope of AB from the coordinate differences
  3. Compute the slope of BC the same way
  4. Compare the two slopes
  5. If they are equal, the three points are collinear
Two slopes, compared. Source: syllabus Maths, Ch 9 Straight Lines.

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