Questions

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22 questions · timed · auto-graded

Question 11 Mark
The parabola representing a quadratic polynomial $f(x)=a x^2+b x+c$ opens downward when __________.
Answer
$a<0$
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Question 21 Mark
The parabola representing a quadratic polynomial $f(x)=a x^2+b x+c$ opens upward when __________.
Answer
$a>0$
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Question 31 Mark
If the zeroes of the quadratic polynomial $a x^2+b x+c$ are both negative, then a, b and call have the __________ sign.
Answer
same
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Question 41 Mark
If the zeroes of the quadratic polynomial $a x^2+x+a$ are equal, then a =__________.
Answer
$\pm \frac{1}{2}$
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Question 51 Mark
If the parabola represented by $f(x)=a x^2+b x+c$ cuts x-axis at two distinct points, then the polynomial $a x^2+b x+c$ has __________ real zeroes.
Answer
two
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Question 61 Mark
If two of the zeroes of a cubic polynomial are zero, then it does not have __________ and __________ terms.
Answer
linear, constant
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Question 101 Mark
If the product of the zeroes of the quadratic polynomial $x^2-3 a x+2 a^2-1$ is 7, then $a=$__________.
Answer
$\pm 2$
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Question 111 Mark
If $x+\alpha$ is a factor of the polynomial $2 x^2+2 \alpha x+4 x+12$ then $\alpha$= __________.
Answer
3
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Question 121 Mark
Quadratic polynomials with rational coefficients having $\sqrt{3}$ as a zero are given by __________.
Answer
$k\left(x^2-3\right)$,where k is constant
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Question 141 Mark
If one zero of the quadratic polynomial $2 x^2-6 k x+6 x-7$ is negative of the other, then k= __________.
Answer
1
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Question 191 Mark
The quadratic polynomials, the sum and product of whose zeroes are 7 and 12 are given by __________.
Answer
$k\left(x^2-7 x+12\right)$,where k is any constant 
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Question 221 Mark
Quadratic polynomials, whose zeroes are - 4 and 3 are given by __________.
Answer
$k\left(x^2+x-12\right)$, where k is a constant
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Fill In The Blanks[1 Marks ] - Maths STD 10 Questions - Vidyadip