Skip to content

Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 2 TestUNIT 2: QUADRATIC EQUATIONS AND INEQUALITIES

30 marks · 40 minutes · 21 questions. Covers: UNIT 2: QUADRATIC EQUATIONS AND INEQUALITIES.

Your school name

10th Class Mathematics Chapter 2 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. A quadratic equation is a polynomial equation of degree:

    1. One

    2. Two

    3. Three

    4. Zero

  2. For object moving in a straight line S=......:

    1. 2as

  3. The zero product property states that a,b  R and ab=0 than:

    1. Boh a and b must be zero

    2. Either a=0 or b=0

    3. a must be equal to b

    4. a+b must be zero

  4. To solve the  set the quadratic expression equal to zero to find the:

    1. Square

    2. Cube

    3. Roots

    4. None of these

  5. If  then x is:

  6. The corresponding equation to the inequality  is:

  7. If  then the roots of  are:

    1. Unequal

    2. Irrational

    3. Imaginary

    4. Equal

  8. An equation of the  becomes pure quadratic equation when:

  9. By taking quare root of both sides of . what is the result?

  10. What is the standard form of a quadratic equation in one variable:

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

  1. If , then make x the subject of this equation.

  2. Examine the nature of roots of the following quadratic equation: 

  3. Find the points of intersection of the following linear equation with coordinate axes graphically: 

  4. Solve the following quadratic equation by factorization method: 

  5. What is the standard form of a quadratic equation?

  6. A freelancer's earnings follow the model , where E is earning in rupees and h is hours worked per week. What is the maximum number of hours he should work to maximize earnings?

  7. Examine the nature of roots of the following quadratic equation: 

  8. The formula for finding simple interest is : Make T the subject of the formula.

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

  1. If  are the roots of the equation , then find the equation whose roots are: 

  2. Solve the following quadratic equation by completing square method: 

  3. For what values of t, the roots of  are real and unequal?