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20 questions · timed · auto-graded

MCQ 11 Mark
The quadratic equation $x^2+m(2 x+m-1)+2=0$ has equal roots. The value of $m$ is :
  • A
    $1$
  • B
    $2$
  • C
    $-2$
  • D
    $0$
Answer
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MCQ 21 Mark
The quadratic equation $(m+1) x^2+2(m+3) x+(m+8)=0$ has equal roots. The value of $m$ is :
  • A
    $\frac{1}{3}$
  • B
    $\frac{1}{4}$
  • C
    $3$
  • D
    $-3$
Answer
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MCQ 31 Mark
Given the quadratic equation $x^2+2 \sqrt{2} x+1=0$. The roots of the quadratic equation are :
  • A
    $\frac{-\sqrt{2} \pm 1}{2}$
  • B
    $\frac{\sqrt{2} \pm 1}{2}$
  • C
    $\sqrt{2} \pm 1$
  • D
    $-\sqrt{2} \pm 1$
Answer
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MCQ 41 Mark
The roots of the quadratic equation $2 x^2-k x+k=0$ are equal. If $k \in N$, then $k$ is equal to :
  • A
    $0$
  • B
    $8$
  • C
    $6$
  • D
    $-6$
Answer
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MCQ 51 Mark
For the quadratic equation $3 x^2+7 x+8=0$, the roots are :
  • A
    real and distinct
  • B
    real and equal
  • C
    imaginary
  • D
    both (a) and (b)
Answer
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MCQ 61 Mark
Given a quadratic equation $m x^2+8 x-2=0, m \neq 0$. For this quadratic equation the value of discriminant is :
  • A
    $64-8 m$
  • B
    $\sqrt{64+8 m}$
  • C
    $64+8 m$
  • D
    $\sqrt{8 m-64}$
Answer
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MCQ 71 Mark
For the quadratic equation $2 x^2+a x-a^2=0$, the sum of the roots is :
  • A
    $\frac{a}{2}$
  • B
    $-\frac{a}{2}$
  • C
    $2 a$
  • D
    $-a$
Answer
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MCQ 111 Mark
For the equation $3 x^2-4 x-2=0$, the roots are :
  • A
    real and equal
  • B
    real and unequal
  • C
    imaginary
  • D
    both (a) and (b)
Answer
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MCQ 121 Mark
The quadratic equation whose roots are $-1,-5$ is :
  • A
    $x^2+6 x+5=0$
  • B
    $x^2-6 x+5=0$
  • C
    $x^2+6 x-5=0$
  • D
    $x^2-6 x-5=0$
Answer
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MCQ 141 Mark
The roots of the quadratic equation $2 x^2+x-1=0$ are :
  • A
    $\frac{1}{2}$ or $-1$
  • B
    $-\frac{1}{2}$ or $1$
  • C
    $-\frac{1}{2}$ or $-1$
  • D
    $\frac{1}{2}$ or $1$
Answer
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MCQ 181 Mark
The quadratic equation whose solution set is $\{-2,3\}$, is :
  • A
    $x^2-3 x-6=0$
  • B
    $x^2-x+6=0$
  • C
    $x^2+x-6=0$
  • D
    $x^2-x-6=0$
Answer
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MCQ 191 Mark
If $3 x^2+8=10 x$, then :
  • A
    $x=2$ or $\frac{4}{3}$
  • B
    $x=2$ or 3
  • C
    $x=3$ or $\frac{4}{3}$
  • D
    $x=1$ or $\frac{1}{3}$
Answer
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MCQ - Mathematics STD 10 Questions - Vidyadip