Free Printable FORMULAS CLASS 10

1.

Which of the following statement is incorrect?

a)

$LCM\ \times\ HCF\ =\ \Pr oduct\ \ of\ \ two\ \ number$

b)

$LCM\ =\ \frac{\Pr oduct\ \ of\ \ two\ \ number}{HCF}$

c)

$HCF\ =\frac{\Pr oduct\ \ of\ \ two\ \ number}{LCM}$

d)

$LCM\ \times\Pr oduct\ \ of\ \ two\ \ number\ =HCF$

2.

If\ \alpha\ and\ \beta\ are\ the\ zeros\ of\

p\left(x\right)\ =ax^2\ +\ bx\ +\ c\ =\ 0\

then

a)

$\alpha\ +\ \beta\ =\frac{-b}{a}\ and\ \alpha\beta\ =\frac{-c}{a}$

b)

$\alpha\ +\ \beta\ =\frac{b}{a}\ and\ \alpha\beta\ =\frac{-c}{a}$

c)

$\alpha\ +\ \beta\ =\frac{-b}{a}\ and\ \alpha\beta\ =\frac{c}{a}$

d)

$\alpha\ +\ \beta\ =\frac{b}{a}\ and\ \alpha\beta\ =\frac{c}{a}$

3.

If a pair of linear equations unique solution then

a)

$\frac{a_1}{a_2}\ =\frac{b_1}{b_2}\ =\frac{c_1}{c_2}$

b)

$\frac{a_1}{a_2}\ =\frac{b_1}{b_2}\ \ne\frac{c_1}{c_2}$

c)

$\frac{a_1}{a_2}\ \ne\frac{b_1}{b_2}\ \ne\frac{c_1}{c_2}$

d)

$\frac{a_1}{a_2}\ \ne\frac{b_1}{b_2}\$

4.

In a pair of linear equations $\frac{a_1}{a_2}\ =\frac{b_1}{b_2}\ =\frac{c_1}{c_2}$ then they are

a)

coincident lines, infinitely many solutions

b)

intersecting lines, exactly one solution

c)

parallel lines, no solutions

d)

none of these

5.

In a pair of linear equations $\frac{a_1}{a_2}\ =\frac{b_1}{b_2}\ \ne\frac{c_1}{c_2}$ then they are

a)

coincident lines, infinitely many solutions

b)

intersecting lines, exactly one solution

c)

parallel lines, no solutions

d)

none of these

6.

A quadratic equation $ax^2\ +bx\ +\ c\ =\ 0$

has two equal roots, if

a)

$b^2\ -\ 4ac\ >\ 0$

b)

$b^2\ -\ 4ac\ <\ 0$

c)

$b^2\ -\ 4ac\ =0$

d)

$b^2\ -\ 4ac\ \ge\ 0$

7.

In an AP last term

a)

$a_{n\ }=a\ +\left(n-1\right)d$

b)

$a_{n\ }=d\ +\left(n-1\right)a$

c)

$a_{n\ }=a\ +\left(n+1\right)d$

d)

$a_{n\ }=d\ +\left(n+1\right)a$

8.

A quadratic equation $ax^2\ +bx\ +\ c\ =\ 0$

has .......................roots, if $b^2\ -\ 4ac\ >\ 0$

a)

two equal real roots

b)

two distinct real roots

c)

no real roots

d)

none of these

9.

A quadratic equation $ax^2\ +bx\ +\ c\ =\ 0$ then x = ............

a)

$\frac{-b\ \pm\sqrt{b^2\ -\ 4ac}}{2a}$

b)

$\frac{-b\ \pm\sqrt{b^2\ +\ 4ac}}{2a}$

c)

$\frac{b\ \pm\sqrt{b^2\ -\ 4ac}}{2a}$

d)

$\frac{-b\ \pm\sqrt{b^2\ -\ 4ac}}{2c}$

10.

The sum of the first n-term of an AP is

a)

$s\ =\left(2a\ +\ \left(n-1\right)d\right)$

b)

$s\ =\frac{n}{2}\left(a\ +\ \left(n-1\right)d\right)$

c)

$s\ =\frac{n}{2}\left(2a\ +\ \left(n+1\right)d\right)$

d)

$s\ =\frac{n}{2}\left(2a\ +\ \left(n-1\right)d\right)$

11.

The distance between any two points , $A\left(x_1,\ y_1\right)$ and $B\left(x_2,\ y_2\right)$ is given by AB =

a)

$\sqrt{\left(x_2\ -\ x_1\right)^2\ +\ \left(y_2\ +y_1\right)^2}$

b)

$\sqrt{\left(x_2\ -\ x_1\right)^2\ +\ \left(y_2\ -\ y_1\right)^2}$

c)

$\sqrt{\left(x_2\ +\ x_1\right)^2\ +\ \left(y_2\ +y_1\right)^2}$

d)

none of these

12.

The distance of a point P(x, y) from origin O is given by OP =

a)

$\sqrt{x^2\ +\ y^2}$

b)

$x^2\ +\ y^2$

c)

$\sqrt{x^2\ -\ y^2}$

d)

$x^2\ -\ y^2$

13.

Which of the following is called as the section formula.

a)

$\left(\frac{m_1\ x_2\ +\ m_2\ x_1}{m_1\ +\ m_2},\ \frac{m_1\ y_2\ +\ m_2\ y_1}{m_1\ +\ m_2}\right)$

b)

$\left(\frac{m_1\ x_2\ -\ m_2\ x_1}{m_1\ -\ m_2},\ \frac{m_1\ y_2\ -\ m_2\ y_1}{m_1\ -\ m_2}\right)$

c)

$\left(\frac{m_1\ x_1\ +\ m_2\ x_2}{m_1\ +\ m_2},\ \frac{m_1\ y_1\ +\ m_2\ y_2}{m_1\ +\ m_2}\right)$

d)

$\left(\frac{m_1\ x_1\ -\ m_2\ x_2}{m_1\ -\ m_2},\ \frac{m_1\ y_1\ -\ m_2\ y_2}{m_1\ -\ m_2}\right)$

14.

$\tan\ 30\degree\ =$

a)

0

b)

$\frac{1}{\sqrt{3}}$

c)

$\sqrt{3}$

d)

1

15.

A triangle ABC right angled at B, then which of the following is not true.

a)

$AC^2\ =\ AB^2\ +BC^2$

b)

$AC^2\ -\ AB^2\ =\ BC^2$

c)

$\ AB^2\ =\ AC^2\ -BC^2$

d)

$AC^2\ =\ AB^2\ -\ BC^2$

16.

Which of the following cannot be the probability of an event?

a)

1.5

b)

$\frac{3}{5}$

c)

25%

d)

0.3

17.

A fair dice is rolled. Probability of getting a number x such that 1 ≤ x ≤ 6, is

a)

0

b)

>1

c)

between 0 and 1

d)

1

18.

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace

a)

$\frac{4}{13}$

b)

$\frac{3}{13}$

c)

$\frac{2}{13}$

d)

none of these

19.

Sum of the zeros of the polynomial x²+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

20.

A polynomial of degree three is called

a)

Linear Polynomial

b)

Quadratic Polynomial

c)

Cubic Polynomial

d)

None of these

21.

The graph of the linear polynomial will meet x axis at

a)

1 point

b)

2 points

c)

3 points

d)

No Points

22.

A constant polynomial has degree

a)

0

b)

1

c)

2

d)

3

23.

The zero of the polynomial p(x)=2x-1 is

a)

2

b)

1

c)

1/2

d)

-1/2

24.

If α,β be the zeros of the quadratic polynomial 2 - 3x - x², then α + β = _____

a)

2

b)

- 3

c)

1

d)

None of the above

25.

Graph of a quadratic polynomial is a

a)

straight line

b)

circle

c)

parabola

d)

ellipse

FORMULAS CLASS 10

Total questions: 25

Worksheet time: 17mins

Similar Resources on Wayground