Start learning →

UPCET / UPSEE Quadratic Equations — practice questions — page 3

Explore 83 free Quadratic Equations questions in UPCET / UPSEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Quadratic Equations with Quill →

Quadratic Equations questions and exercises with answers

Showing questions 61–83 of 83.

True or false: the historical noteRead 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 →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →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 →Real or imaginary?Read the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →

Worked practice questions

True or false: the historical note

Read exercise and reference answers
Questions
  1. Statement is true
    Yes
    Statement
    The study of trigonometry was first started in India.
  2. Statement is true
    Yes
    Statement
    The sine function reached mathematics through the siddhantas.
  3. Statement is true
    Yes
    Statement
    Trigonometry passed from India to Arabia and then to Europe.
  4. Statement is true
    No
    Statement
    The Greeks never studied trigonometry at all.
  5. Statement is true
    Yes
    Statement
    sin⁻¹ is also called the arc sine function.
Straight from the Historical Note. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.

Open this exercise →

Complete the arc length relation

Read exercise and reference answers
Missing parts
  1. Answer
    rθ
    Choices
    1. rθ
    2. r/θ
    3. θ/r
Complete the statement
In a circle of radius r, an arc of length l subtends an angle of θ radians, and these are related by l = {0}.
The definition of radian measure, from the first summary bullet. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

Match each identity to its name

Read exercise and reference answers
Matching pairs
  1. Left
    cos²x + sin²x
    Right
    = 1
  2. Left
    1 + tan²x
    Right
    = sec²x
  3. Left
    1 + cot²x
    Right
    = cosec²x
  4. Left
    l = rθ
    Right
    arc length from radius and angle
The three Pythagorean identities the chapter lists. Source: syllabus Maths, Ch 3 Trigonometric Functions.

Open this exercise →

How to practise

  1. Choose a Quadratic Equations 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

SequencesProbability & StatisticsBinomial TheoremSequences and SeriesGeometryLinear ProgrammingLimits and ContinuityPermutations and Combinations