In quadratic equation $$ax^2 + bx + c = 0$$, If discriminant $$D = b^2 - 4ac$$, then roots of quadratic equation are :

real and equal (repeated roots), if D = 0

Let $$\alpha ,\beta $$ be the roots of $$a{ x }^{ 2 }+bx+c=0(a\neq 0)$$ and $$\gamma ,\delta $$ be the roots of $$p{ x }^{ 2 }+qx+r=0(p\neq 0)$$, and $${ D }_{ 1 },{ D }_{ 2 }$$ be the respective discriminants of these equations. If $$\alpha ,\beta ,\gamma ,\delta $$ are in A.P., then $${ D }_{ 1 },{ D }_{ 2 }$$ equals

$$\frac { { a }^{ 2 } }{ { p }^{ 2 } } $$

$$\frac { { a }^{ 2 } }{ { b }^{ 2 } } $$

$$\frac { { b }^{ 2 } }{ { q }^{ 2 } } $$

$$\frac { { c }^{ 2 } }{ { r }^{ 2 } } $$

MCQ Questions for Class 10 Maths Quadratic Equations Quiz 11

Discriminant is_________ for the quadratic equation

x + \frac{1}{x} = - 5

$x+\dfrac { 1 }{ x } =-5$ .

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29
0%
21
0%
20
0%
6

In quadratic equation

a x^{2} + b x + c = 0

$ax^2 + bx + c = 0$ , If discriminant

D = b^{2} - 4 a c

$D = b^2 - 4ac$ , then roots of quadratic equation are :

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real and distinct, if D > 0
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real and equal (repeated roots), if D = 0
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non-real (imaginary), if D < 0
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none of the above

The sun of the values of

x

$x$ satisfying the equation

{(31 + 8 \sqrt{150})}^{x^{2} - 3} + 1 = {(32 + 8 \sqrt{150})}^{x^{2} - 3}

${ \left( 31+8\sqrt { 150 } \right) }^{ { x }^{ 2 }-3 }+1={ \left( 32+8\sqrt { 150 } \right) }^{ { x }^{ 2 }-3 }$ is

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$3$
0%
$0$
0%
$2$
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$none\ of\ these$

To expand

{(4 - \frac{3}{x^{2}})}^{\frac{- 1}{2}}

$\left(4 -\dfrac{3}{x^2}\right)^{\dfrac{-1}{2}}$ as the sum of infinite series, then [x] is greater than

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$\dfrac{1}{\sqrt3}$
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$\dfrac{sqrt3}{2}$
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2
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1/2

Minimum value of the expression

c o s^{2} θ - (6 s i n θ . c o s θ) + 3 s i n^{2} θ + 2

$cos^{2} \theta -(6sin \theta . cos \theta )+3 sin^{2} \theta +2$ , is -

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$4+\sqrt {10}$
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$4-\sqrt {10}$
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0
0%
4

What is the value of the discriminant for the quadratic equation:

\sqrt{2} x^{2} - 5 x + \sqrt{2} = 0

$\sqrt 2 {x^2} - 5x + \sqrt 2 = 0$

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$-5$
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$17$
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$\sqrt 2$
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$2\sqrt 2$

Find the roots of the following complenting the square.

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${x^2} - 4\sqrt {2x} + 6 = 0$
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$3{x^2} + 11x + 10 = 0$
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$2{x^2} + x + 4 = 0$
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$4{x^2} + 4\sqrt {3x} + 3 = 0$

Let

α, β

$\alpha ,\beta$ be the roots of

a x^{2} + b x + c = 0 (a \neq 0)

$a{ x }^{ 2 }+bx+c=0(a\neq 0)$ and

γ, δ

$\gamma ,\delta$ be the roots of

p x^{2} + q x + r = 0 (p \neq 0)

$p{ x }^{ 2 }+qx+r=0(p\neq 0)$ , and

D_{1}, D_{2}

${ D }_{ 1 },{ D }_{ 2 }$ be the respective discriminants of these equations. If

α, β, γ, δ

$\alpha ,\beta ,\gamma ,\delta$ are in A.P., then

D_{1}, D_{2}

${ D }_{ 1 },{ D }_{ 2 }$ equals

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$\frac { { a }^{ 2 } }{ { p }^{ 2 } }$
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$\frac { { a }^{ 2 } }{ { b }^{ 2 } }$
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$\frac { { b }^{ 2 } }{ { q }^{ 2 } }$
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$\frac { { c }^{ 2 } }{ { r }^{ 2 } }$

The discriminant of

\sqrt{3} x^{2} - 2 \sqrt{2} x - 2 \sqrt{3} = 0

$\sqrt{3}x^{2}-2\sqrt{2}x-2\sqrt{3}=0$ is ......................

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32
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16
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-32
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-16

Out of the following_____________is not a quadratic equation.

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$2{x^2} + \sqrt 6 x - 6 = 0$
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$x\left( {3x + 2} \right) = \left( {x + 2} \right)\left( {x - 1} \right)$
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$x\left( {x - 2} \right) + 3 = {x^2} + 3$
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$\left( {x + 2} \right)\left( {x - 3} \right) = 0$

What is the standard form of quadratic equation

9 = - x^{2} + 13 x ?

$9 = - {x^2} + 13x?$

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${x^2} + y = 13x$
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${x^2} + 13x - y = 0$
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${x^2} + 13x - 9 = 0$
0%
$- {x^2} + 13x - 9 = 0$

CBSE Questions for Class 10 Maths Quadratic Equations Quiz 11 - MCQExams.com

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Practice Class 10 Maths Quiz Questions and Answers

CBSE Questions for Class 10 Maths Quadratic Equations Quiz 11 - MCQExams.com

0:0:3

Practice Class 10 Maths Quiz Questions and Answers

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