Free Printable Monthly Test Class 10

1.

The discriminant of $ax^2+bx+c=0$

a)

$b^2-4ac$

b)

$b^2+4ac$

c)

$-b^2+4ac$

d)

$-b^2-4ac$

2.

$\alpha^2+\beta^2$ is equal to

a)

$\alpha^2-\beta^2$

b)

$\frac{1}{\alpha^2}+\frac{1}{\beta^2}$

c)

$\left(\alpha^{ }+\beta^{ }\right)^2-2\alpha\beta$

d)

$\alpha+\beta$

3.

$If\ \alpha,\beta\ are\ the\ roots\ of\ 3x^2+5x-2=0,then\ \alpha+\beta\ is$

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

$\frac{-5}{3}$

d)

$\frac{-2}{3}$

4.

Roots\ of\ the\ eqution\ 4x^2-5x+2=0\ are

a)

$Irrational\$

b)

$Imaginary$

c)

$Rational\$

d)

$None\ of\ these\$

5.

$Cube\ roots\ of\ -125\ are$

a)

$-5,-5\omega,-5\omega^2$

b)

$-2,-2\omega,-2\omega^2$

c)

$-1,-\omega,-\omega^2$

d)

$5,5\omega,5\omega^2$

6.

Product of cube roots of unity is

a)

$0$

b)

$-1$

c)

$6$

d)

$1$

7.

$If\ b^2-4ac>0,but\ not\ a\ perfect\ square\ then\ roots\ of\ ax^2+bx+c=0\ are\$

a)

$Imaginary\$

b)

$None\ of\ these\$

c)

$Rational\$

d)

$Irrational\$

8.

$\frac{1}{\alpha}+\frac{1}{\beta}\ is\ equal\ to\$

a)

$\frac{\alpha+\beta}{\alpha\beta}$

b)

$\frac{\alpha-\beta}{\alpha\beta}$

c)

$\frac{1}{\alpha}-\frac{1}{\beta}$

d)

$\frac{1}{\alpha}$

9.

$Two\ square\ roots\ of\ unity\ are$

a)

$1,-1$

b)

$1,\omega$

c)

$1,-\omega$

d)

$\omega,\omega^2$

10.

$Roots\ of\ equation\ 4x^2-4x+1=0\ are$

a)

$Irrational\$

b)

$Imaginary$

c)

$Real\ ,\ Unequal$

d)

$Real\ ,Equal$

11.

$If\ \alpha,\beta\ are\ the\ roots\ of\ x^2-x-1=0,\ then\ product\ of\ the\ roots\ 2\alpha\ and\ 2\beta\ is\$

a)

$-6$

b)

$10$

c)

$-4$

d)

$16$

Monthly Test Class 10

Total questions: 11

Worksheet time: 11mins

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