Start learning →

Indian Navy SSR Limits and Continuity — practice questions — page 3

Explore 71 free Limits and Continuity questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Limits and Continuity with Quill →

Limits and Continuity questions and exercises with answers

Showing questions 61–71 of 71.

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

True or false: periodicity

Read exercise and reference answers
Questions
  1. Statement is true
    Yes
    Statement
    cos(2nπ + x) = cos x for any whole number n.
  2. Statement is true
    Yes
    Statement
    sin(2nπ + x) = sin x for any whole number n.
  3. Statement is true
    No
    Statement
    Adding 2π to the angle changes the sine value.
  4. Statement is true
    Yes
    Statement
    2π radians is a full turn.
  5. Statement is true
    Yes
    Statement
    π radians equals 180 degrees.
Adding a full turn changes nothing. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Complete the complementary angle rules

Read exercise and reference answers
Missing parts
  1. Answer
    sin x
    Choices
    1. sin x
    2. cos x
    3. tan x
  2. Answer
    cos x
    Choices
    1. cos x
    2. sin x
    3. cot x
Complete the statement
cos(π/2 − x) equals {0}, and sin(π/2 − x) equals {1}.
Subtracting from π/2 swaps sine and cosine. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Assertion and reason

Read exercise and reference answers
Questions
  1. Reason
    sec²x equals 1 + tan²x, and a square is never negative.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sec²x is never less than 1.
  2. Reason
    sine is odd and cosine is even.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    sin and cos behave differently under a sign change of x.
  3. Reason
    sin(−x) = −sin x.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    cos(−x) = −cos x.
  4. Reason
    π radians corresponds to 180 degrees.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Angles can be measured in radians instead of degrees.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

How to practise

  1. Choose a Limits and Continuity question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

SequencesBinomial TheoremSequences and SeriesProbability & StatisticsGeometryPermutations and CombinationsLinear ProgrammingVectors & 3D Geometry