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IIFT Binomial Theorem — practice questions — page 3

Explore 88 free Binomial Theorem questions in IIFT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Binomial Theorem questions and exercises with answers

Showing questions 61–88 of 88.

True or false: reading the identitiesRead the answer and worked solution →Complete the definition of slopeRead the answer and worked solution →True or false: slopeRead the answer and worked solution →Zero slope, undefined slope, or neither?Read the answer and worked solution →Match each condition to what it tells youRead the answer and worked solution →Parallel, perpendicular, or neither?Read the answer and worked solution →True or false: parallel and perpendicularRead the answer and worked solution →Order the steps: test three points for collinearityRead 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 →Which test applies?Read the answer and worked solution →Flip and pair: condition with conclusionRead the answer and worked solution →Tap every statement true of slopeRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Complete the angle between two linesRead the answer and worked solution →True or false: using coordinatesRead the answer and worked solution →Which index risesRead the answer and worked solution →Build the next Pascal rowRead the answer and worked solution →Fill the Pascal rowRead the answer and worked solution →Type the binomial termRead the answer and worked solution →Pop what the theorem handlesRead the answer and worked solution →One word is wrongRead the answer and worked solution →The two indicesRead the answer and worked solution →Which one does not belongRead the answer and worked solution →Spot the false statementRead the answer and worked solution →Knock out the true statementsRead the answer and worked solution →

Worked practice questions

True or false: reading the identities

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Questions
  1. Statement is true
    Yes
    Statement
    The Pythagorean identity lets you find cos from sin.
  2. Statement is true
    Yes
    Statement
    The sum formulae let you expand cos(x + y).
  3. Statement is true
    Yes
    Statement
    Periodicity means adding 2π leaves the value unchanged.
  4. Statement is true
    No
    Statement
    Every trigonometric identity holds only for acute angles.
  5. Statement is true
    Yes
    Statement
    Radian measure is proportional to degree measure.
How the identities are used in practice. Source: syllabus Maths, Ch 3 Trigonometric Functions.

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Complete the definition of slope

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Missing parts
  1. Answer
    y
    Choices
    1. y
    2. x
    3. angle
  2. Answer
    x
    Choices
    1. x
    2. y
    3. slope
Complete the statement
The slope of a non-vertical line through (x₁,y₁) and (x₂,y₂) is the difference in {0} divided by the difference in {1}.
Slope is a ratio of differences, and it needs the line to be non-vertical. Source: syllabus Maths, Ch 9 Straight Lines.

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True or false: slope

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Questions
  1. Statement is true
    Yes
    Statement
    The slope of a horizontal line is zero.
  2. Statement is true
    Yes
    Statement
    The slope of a vertical line is undefined.
  3. Statement is true
    No
    Statement
    The slope of a vertical line is zero.
  4. Statement is true
    Yes
    Statement
    If a line makes angle α with the x-axis, its slope is tan α.
  5. Statement is true
    Yes
    Statement
    That formula fails when α is 90 degrees.
Horizontal and vertical lines are the two special cases. Source: syllabus Maths, Ch 9 Straight Lines.

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