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Indian Navy 10+2 B.Tech Cadet Geometry — practice questions — page 3

Explore 78 free Geometry questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry questions and exercises with answers

Showing questions 61–78 of 78.

Sort each statement by which idea it describesRead 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 →

Worked practice questions

Sort each statement by which idea it describes

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Items
  1. Item
    P(E ∩ F) ÷ P(F)
    Category
    Conditional probability
  2. Item
    Needs P(F) ≠ 0
    Category
    Conditional probability
  3. Item
    P(E|F) = P(E)
    Category
    Independence
  4. Item
    P(E ∩ F) = P(E)P(F)
    Category
    Independence
  5. Item
    Pairwise disjoint events
    Category
    Partition
  6. Item
    Their union is the whole sample space
    Category
    Partition
Categories
  1. Item
    Conditional probability
  2. Item
    Independence
  3. Item
    Partition
Three ideas that share notation and are constantly swapped. Source: syllabus Maths Part II, Ch 13 Probability.

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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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