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14 questions · timed · auto-graded

Question 11 Mark
If the coefficient of $x^2$ and the constant term of a quadratic equation have the same sign and if the coefficient of x term is zero, then the quadratic equation has __________ roots.
Answer
no real
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Question 21 Mark
If the coefficient of $x^2$ and the constant term of a quadratic equation have opposite signs, then the roots of the quadratic equation are __________ and __________.
Answer
real, distinct
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Question 51 Mark
The quadratic equation with rational coefficients having $\frac{\sqrt{3}}{2}$ as a root is __________.
Answer
$4 x^2-3=0$
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Question 61 Mark
If the equation $m x^2+2 x+m=0$ is satisfied by only one real value of x, then the values of m are __________ and __________.
Answer
-1,1
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Question 91 Mark
The values of k for which the quadratic equation $x^2-4 k x+k=0$ has equal roots, are __________.
Answer
0,1/4
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Question 101 Mark
If one root of the quadratic equation $3 x^2-10 x+k=0$ is reciprocal of the other, then k = __________.
Answer
3
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Question 121 Mark
The values of k for which the quadratic equation $2 x^2-k x+k=0$ has equal roots are __________.
Answer
0,8
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