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Quadratic & Other Test 2
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Quadratic & Other Test 2
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  • Question 1/10
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  • Question 2/10
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  • Question 3/10
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  • Question 4/10
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  • Question 5/10
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    In a plane, P and Q are two points having co-ordinate (3, 0) and (6, 4) respectively. Then the numerical value of the circumference of circle with radius PQ is:

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  • Question 6/10
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  • Question 7/10
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    Find a quadratic equation in x whose roots are 5 and 6.

    Solutions

    Any quadratic equation in x,

    Can be expressed as x2 - (sum of the roots) x + (product of the roots) = 0

    In the given problem, as the roots are 5 & 6

    the quadratic equation in x is x2 - 11x + 30 = 0.

     

  • Question 8/10
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    The range  of values of m for which the roots of the equation 3x2 + 2x + m(m − 1) = 0 are of opposite sign?

    Solutions

    Since, roots are of opposite sign.

    ∴ Product of roots < 0

    ⇒ m(m − 1) < 0

    ⇒ m2 − m < 0

    It is true only for

    0 < m < 1.

     

  • Question 9/10
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    If b and c are the roots of the equation x2 + bx + c = 0 then.

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  • Question 10/10
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    If (x + y - z)2 + (y + z - x)2 + (z + x - y)2 = 0, then the value of x + y - z is?

    Solutions

     

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