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Quadratic Equations

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Solution of Quadratic Equations by Factorisation

Subtopic

Solution of Quadratic Equations by Factorisation under Quadratic Equations for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Determine the roots of x2−100=0x^2 - 100 = 0.

    A.

    10,1010, 10

    B.

    10,−1010, -10

    C.

    −10,−10-10, -10

    D.

    0,1000, 100

  2. 2.

    Which of the following are the roots of x2+12x+27=0x^2 + 12x + 27 = 0?

    A.

    3,93, 9

    B.

    −3,9-3, 9

    C.

    3,−93, -9

    D.

    −3,−9-3, -9

  3. 3.

    Solve for xx: x2−11x+28=0x^2 - 11x + 28 = 0.

    A.

    −4,−7-4, -7

    B.

    4,74, 7

    C.

    2,142, 14

    D.

    −2,−14-2, -14

Download the worksheet for Quadratic Equations - Solution of Quadratic Equations by Factorisation to practice offline. It includes additional chapter-level practice questions.

Solution of Quadratic Equations by Quadratic Formula

Subtopic

Solution of Quadratic Equations by Quadratic Formula under Quadratic Equations for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If D=0D=0 for the equation x2+kx+9=0x^2 + kx + 9 = 0, find the positive value of kk.

    A.

    6

    B.

    3

    C.

    9

    D.

    18

  2. 2.

    Find the roots of x2−16x+64=0x^2 - 16x + 64 = 0.

    A.

    8, 8

    B.

    -8, -8

    C.

    8, -8

    D.

    0, 16

  3. 3.

    The discriminant of x2+11x+24=0x^2 + 11x + 24 = 0 is:

    A.

    25

    B.

    217

    C.

    121

    D.

    1

Download the worksheet for Quadratic Equations - Solution of Quadratic Equations by Quadratic Formula to practice offline. It includes additional chapter-level practice questions.

Nature of Roots

Subtopic

Nature of Roots under Quadratic Equations for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    For the equation x2−2x+k=0x^2 - 2x + k = 0, find kk if the roots are equal.

    A.

    1

    B.

    -1

    C.

    2

    D.

    0

  2. 2.

    If D=−16D = -16 for a quadratic equation, the nature of roots is:

    A.

    Real and equal

    B.

    Real and distinct

    C.

    No real roots

    D.

    Rational

  3. 3.

    The roots of 3x2+7x+2=03x^2 + 7x + 2 = 0 are:

    A.

    Real and equal

    B.

    No real roots

    C.

    Real and distinct

    D.

    Imaginary

Download the worksheet for Quadratic Equations - Nature of Roots to practice offline. It includes additional chapter-level practice questions.