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Which of the following instruments can't be used to create a right angle?

Which of the following is a rational number between $\frac{1}{3}$ and $\frac{5}{3}$?

A quadrilateral ABCD is drawn in which the mid points of sides AB, BC, CD and AD are P, Q, R and S respectively.

If quadrilateral ABCD is a rectangle, then the quadrilateral PQRS is ___.

If x=3 + 2√2,

Then find x² + 1/x²

In the equation $ax+by+c=0$, where c is a constant, if $a=b=0$ then

In the adjoining figure,DE||BC.Prove that

(i) $ar\left(△ACD\right)=ar\left(△ABE\right)$

(ii) $ar\left(△OCE\right)=ar\left(△OBD\right)$

A man starts his trip from the origin of the Cartesian plane. He goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does the location of the man lie?

Poetry and science are incompatible.

Solve for y if the pair of linear equations are



$\frac{5}{(x-2)}=\frac{4}{(1-y)}and$

$26x+3y+4=0$

1. 3

1. 3

By grouping the terms in a³ + 7a² + ba + 7b - a - 7, we get

Two sides of a triangular field are 85 m and 154 m in length and its perimeter is 324 m. Find (i) the area of the field and (ii) the length of the perpendicular from the opposite vertex on the side measuring 154 m.

Identify the solutions for the given equation 4x+y=16?

Let $f\left(x\right)=\{\begin{array}{cc}1+x,& 0\le x\le 2\\ 3-x,& 2<x\le 3\end{array}$ then $f\left\{f\right(x\left)\right\}=$

AB is parallel to CD, EF intersects them at M and N. The bisectors of $\angle BMNand\angle MND$ meet at Q. If $\angle AME={80}^{\circ }$, then $\angle MQN$ is:

Which among the following polynomials has degree 3?

Question 104(ii)

The below histogram shows the number of literate females in the age group of 10 yr to 40 yr in a town.



What is the classes width ?

$△$ ABC is a right angled triangle, right angled at B and the perpendicular drawn from B to the opposite side bisects it at D. BD = ___ cm, if AD = DC = 5 cm.

The figure shown below is a circle centered at O. AB and CD are ___ of the circle.

Each of the points (-2, 2), (0, 0), (2, -2) satisfies the linear equation

(a) x - y = 0

(b) x + y = 0

(c) - x + 2y = 0

(d) x - 2y = 0

To construct a triangle, apart from base, what else is required?

The bisects of exterior angles at B and C of triangle ABC meet at O.If angle A=x°, then angle BOC will be _____.

If $A=\{x:x=n,n\in N,5\le n<9\},$

$B=\{3,4,5,6\}$ and

$C=\{x=2n,n\in N,n<5\},$ then

$B\cup (A\cap C)=$ ___.

Factorise:
$x(x+y{)}^3-3x^{2}y(x+y)$

Match the following polynomials.

$x^{2n}-2^{2n}\text{is divisible by (x + y)}.$

If the value of $\sqrt{2}$ and $\sqrt{3}$ is 1.4 and 1.7 respectively, find the value of $\frac{2(\sqrt{3}+\sqrt{2})}{\sqrt{3}-\sqrt{2}}$

Shanta runs an industry in a shed which is in the shape of a cuboid surmounted by a half cylinder (see Fig.). If the base of the shed is of dimension 7 m × 15 m, and the height of the cuboidal portion is 8 m, find the volume of air that the shed can hold. (Take $\pi =\frac{22}{7}$)

How many zeroes do the polynomials

$P_1\left(x\right)=x^3+x^2+x+1$ and

$P_2\left(x\right)=x^2+1$

have in common?

The sides of a scalene triangle are in the ratio 3:5:7. If the perimeter of the triangle is 60 cm , then its area is :

A roof is made by using 20 triangular rocks which includes 4 different colors. The sides of each piece are 2m, 5m and 5m. How much area is covered by the colored rocks?

If $\left[x^2\right]+x-a=0$ has a solution $\left(\right[.]$ represents the greatest integer function$)$, where $a\in N,a\le 20$, then the total number of distinct values of $a$ is

In the figure, AB = AC and AP $\perp$ BC. Then

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

$x^2+3x-2$, find $\frac{1}{(\alpha {)}^3}+\frac{1}{(\beta {)}^3}$.

The given table shows the marks obtained and the frequency. The cumulative frequency is ________

$$\begin{array}{cc}\text{Marks}& \text{Frequency}\\ 10-20& 4\\ 20-30& 9\\ 30-40& 6\\ 40-50& 10\end{array}$$