M.C.Q (1 Marks)

MCQ 11 Mark

Two roots of the quadratic equation $a x^2+b x+c=0$ are, real, different and recipocal then is true.

✓
$a=c$
B
$a=-c$
C
$b=0$
D
$b+c=0$

Answer

Correct option: A.

$a=c$

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MCQ 21 Mark

If two zeroes are opposite, the _______ is got of quadratic polynomial $a x^2+b x+c=0$.

A
$b>0$
B
$b<0$
C
$b \neq 0$
✓
$b = 0$

Answer

Correct option: D.

$b = 0$

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MCQ 31 Mark

If there is _______ for quadratic equation. then real zeroes are not possible for quadratic equation.

A
$D =0$
B
$D>0$
✓
$D<0$
D
$D \geq 0$

Answer

Correct option: C.

$D<0$

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MCQ 41 Mark

The comprehensive method to find solution of quadratic equation is given by _______

✓
Shreedhar acharya
B
Rene Decarte
C
Al-khwarizmi
D
Pythagoras

Answer

Correct option: A.

Shreedhar acharya

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MCQ 51 Mark

The maximum number of roots for a quadratic equation is equal to

A
1
✓
2
C
3
D
4

Answer

Correct option: B.

(b) 2

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MCQ 61 Mark

The quadratic equation $x^2+7 x-60$ has

A
two equal roots
✓
two real and unequal roots
C
two equal complex roots
D
no real roots

Answer

Correct option: B.

two real and unequal roots

(b) two real and unequal roots

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MCQ 71 Mark

The quadratic formula to find the roots of a quadratic equation $a x^2+b x+c=0$ is given by

A
$\left[-b \pm \sqrt{ }\left(b^2-a c\right)\right] / 2 a$
B
$\left[-b \pm \sqrt{ }\left(b^2-2 a c\right)\right] / a$
C
$\left[-b \pm \sqrt{ }\left(b^2-4 a c\right)\right] / 4 a$
✓
$\left[-b \pm \sqrt{ }\left(b^2-4 a c\right)\right] / 2 a$

Answer

Correct option: D.

$\left[-b \pm \sqrt{ }\left(b^2-4 a c\right)\right] / 2 a$

(d) $\left[-b \pm \sqrt{ }\left(b^2-4 a c\right)\right] / 2 a$

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MCQ 81 Mark

The equation $(x+1)^2-2(x+1)=0$ has

✓
two real roots
B
no real roots
C
one real root
D
two equal roots

Answer

Correct option: A.

two real roots

(a) two real roots

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MCQ 91 Mark

The quadratic equation $2 x^2-\sqrt{5 x}+1=0$ has

A
two distinct real roots
B
two equal real roots
✓
no real roots
D
more than 2 real roots

Answer

Correct option: C.

no real roots

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MCQ 101 Mark

The equation which has the sum of its roots as 3 is

A
$2 x^2-3 x+6=0$
✓
$-x^2+3 x-3=0$
C
$\sqrt{2} x^2-3 / \sqrt{ } 2 x+1=0$
D
$3 x^2-3 x+3=0$

Answer

Correct option: B.

$-x^2+3 x-3=0$

(b) $-x^2+3 x-3=0$

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MCQ 111 Mark

The product of two consecutive positive integers is 360 . To find the integers, this can be represented in the form of quadratic equation as

A
$x^2+x+360=0$
✓
$x^2+x-360=0$
C
$2 x^2+x-360$
D
$x^2-2 x-360=0$

Answer

Correct option: B.

$x^2+x-360=0$

(b) $x^2+x-360=0$

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MCQ 121 Mark

A quadratic equation $a x^2+b x+c=0$ has no real roots, if

A
$b^2-4 a c>0$
B
$b^2-4 a c=0$
✓
$b^2-4 a c<0$
D
$b^2-a c<0$

Answer

Correct option: C.

$b^2-4 a c<0$

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MCQ 131 Mark

Which of the following equations has 2 as a root?

A
$x^2-4 x+5=0$
B
$x^2+3 x-12=0$
✓
$2 x^2-7 x+6=0$
D
$3 x^2-6 x-2=0$

Answer

Correct option: C.

$2 x^2-7 x+6=0$

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MCQ 141 Mark

Which one of the following is not a quadratic equation?

A
$(x+2)^2=2(x+3)$
B
$x^2+3 x=(-1)(1-3 x)^2$
✓
$(x+2)(x-1)=x^2-2 x-3$
D
$x^3-x^2+2 x+1=(x+1)^3$

Answer

Correct option: C.

$(x+2)(x-1)=x^2-2 x-3$

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MCQ 151 Mark

If one root of equation $4 x^2-2 x+k-4=0$ is reciprocal of the other. The value of $k$ is:

A
-8
✓
8
C
-4
D
4

Answer

Correct option: B.

(b) 8

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MCQ 161 Mark

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

A
30 km/hr
✓
40 km/hr
C
50 km/hr
D
60 km/hr

Answer

Correct option: B.

40 km/hr

(b) 40 km/hr

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MCQ 171 Mark

The sum of the reciprocals of Rehman’s ages 3 years ago and 5 years from now is 1/3. The present age of Rehman is:

✓
7
B
10
C
5
D
6

Answer

Correct option: A.

(a) 7

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MCQ 181 Mark

The value of $\sqrt{6+\sqrt{6+\sqrt{6} \ldots \ldots \ldots}}$ is:

A
4
✓
3
C
3.5
D
-3

Answer

Correct option: B.

(b) 3

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MCQ 191 Mark

The roots of quadratic equation $2 x^2+x+4=0$ are:

A
Positive and negative
B
Both Positive
C
Both Negative
✓
No real roots

Answer

Correct option: D.

No real roots

(d) No real roots

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MCQ 201 Mark

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, the other two sides of the triangle are equal to:

A
Base=10cm and Altitude=5cm
✓
Base=12cm and Altitude=5cm
C
Base=14cm and Altitude=10cm
D
Base=12cm and Altitude=10cm

Answer

Correct option: B.

Base=12cm and Altitude=5cm

(b) Base=12cm and Altitude=5cm

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MCQ 211 Mark

If $1 / 2$ is a root of the quadratic equation $x^2-m x-5 / 4=0$, then value of $m$ is:

A
2
✓
-2
C
-3
D
3

Answer

Correct option: B.

-2

(b) -2

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MCQ 221 Mark

The sum of two numbers is 27 and product is 182. The numbers are:

A
12 and 13
✓
13 and 14
C
12 and 15
D
13 and 24

Answer

Correct option: B.

13 and 14

(b) 13 and 14

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MCQ 231 Mark

The roots of $100 x^2-20 x+1=0$ is:

A
$1 / 20$ and $1 / 20$
B
$1 / 10$ and $1 / 20$
✓
$1 / 10$ and $1 / 10$
D
None of the above

Answer

Correct option: C.

$1 / 10$ and $1 / 10$

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MCQ 241 Mark

Equation of $(x+1)^2-x^2=0$ has number of real roots equal to:

✓
1
B
2
C
3
D
4

Answer

Correct option: A.

(a) 1

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MCQ 251 Mark

If the discriminant of 2x² + 5x - k = 0 is 81 then k=____________ .

A
5
✓
7
C
-7
D
-5

Answer

Correct option: B.

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Maths M.C.Q (1 Marks)

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