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Punjab (PTB) · Chapter test · Free

1st Year Mathematics Chapter 3 TestUNIT 3: Theory of Quadratic Functions

26 marks · 40 minutes · 17 questions. Covers: UNIT 3: Theory of Quadratic Functions.

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1st Year Mathematics Chapter 3 Test

1st Year · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 26Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 6 × 1 = 6)

  1. To solve absolute value quadratic function we must illuminate roots which are:

    1. Real

    2. Imaginary

    3. Extraneous

    4. Double

  2. Inverse of a quadratic function should be:

    1. Into

    2. Onto

    3. One to one

    4. Not to one

  3. Name the type of equation .

    1. Radical

    2. Reciprocal

    3. Rational

    4. None of these

  4. An equation of the form ax2+bx+c=0 is called quadratic is ......:

    1. a=0

    2. b=0

  5. An equation involving radical expression of the variable is called ......:

    1. Radical equation

    2. Algebraic equation

    3. Exponential equation

    4. None of these

  6. What are the distinct roots of the equation x2+x-2-2=0:

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Solve the following:

  2. Solve the following:

  3. Find the inverse of . Also find its domain and range.

  4. Solve the following:

  5. Find the maximum and minimum value of f(x)=x2-2x-3

  6. Solve the following:

  7. Solve the following:

  8. Solve the following:

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find the maximum and minimum point by sketching the following quadratic function. Also find their domain and range:

  2. Find the inverse of the following quadratic function. Also find their domain and range:

  3. Solve the following absolute value quadratic equation and inequalities: