Download Collection Of Quadratic Equation Questions With Solution PDF For Competitive Exam

Download Collection Of Quadratic Equation Questions With Solution PDF For Competitive Exam

    Here we are with Collection Of Quadratic Equation  Questions With Solution PDF for you to improve your exam preparation.
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    Collection Of Quadratic Equation  Questions With Solution PDF

    QUADRATIC EQUATIONS By K Kundan 1
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    QUADRATIC EQUATIONS By K Kundan 2
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    QUADRATIC EQUATIONS FOR BANK PO  By K Kundan 3
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    Quadratic Equation
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    200 Quadratic Equation
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    All PDF in One Place
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    Quadratic Equation

    If p(x) is a quadratic polynomial, then p(x) = 0 is called
    a quadratic equation. The general formula of a quadratic
    equation is ax 2 + bx + c = 0; where a, b, c are real
    numbers and a  0. For example, x 2 – 6x + 4 = 0 is a quadratic equation.
    2. Roots of a Quadratic Equation
    Let p(x) = 0 be a quadratic equation, then the values of
    x satisfying p(x) = 0 are called its roots or zeros.

    Finding the roots of a quadratic equation is known as
    solving the quadratic equation.
    3. Quadratic Formulae
    (i) If  and  are the two roots of ax 2 + bx + c = 0
    (ii) Sum of the roots
    (iii) Product of the roots
    (iv) A quardratic equation whose roots are  and
     is given by ( ) 0

    (v) In ax2 + bx + c = 0, the expression
    D = b
    2 – 4ac is called its discriminant.
    4. Nature of Roots of ax
    2 + bx + c = 0
    Let D = b
    2 – 4ac be the discriminant of the given
    equation. Then roots of the equation ax
    2 + bx+ c = 0 are
    (i) real and equal if D = 0.
    (ii) real, unequal and rational, when D > 0 and D is
    a perfect square.
    (iii) real, unequal and irrational, when D > 0 and D
    is not a perfect square.
    (iv) imaginary, if D < 0.
    (v) integers, when a = 1, b and c are integers and
    the roots are rational.

    5. Methods of Solving Quadratic Equation
    (i) By Factorization


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