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An equilateral triangle of side $9cm$ is inscribed in a circle. Find the radius of the circle.

Visualize addition of 30 and 24.

1. \N

If P(x)=x^{​​​​​​2​​​​​}_​​​​​​​-4x+3, then find p(2)-p(-1)

In the following figure, AD is the diameter of the circle with centre O. Chords AB,BC and CD are equal. If $\angle$ DEF = ${110}^o$, calculate :

(i) $\angle$ AEF, (ii) $\angle$ FAB.

The area of a triangle with sides 37.5 cm, 37.5 cm and 45 cm and semi-perimeter 60 cm is

The numerical factor of a term is known as:

If EFG is a triangle, and then there is a unique circle passing through the three vertices E, F and G of the triangle. This circle is called the ...... of the ΔEFG.

Diameter of a circle is 30 cm. If the length of a chord is 20 cm, find the distance of the chord from the centre.

A metallic pyramid whose square base is 2 cm long and height 6 cm is given. Find the volume of the pyramid.

If a² + b² +c² = 20 and a + b + c = 0, find ab + bc + ca.

The circumference of the circle which has a diameter of 16 cm is .

What are the two factors of quadratic polynomial ?

If both pairs of opposite sides of a quadrilateral are parallel, then it is called:

If $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$ for a system of equations $a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$, then

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the ____ interior opposite angles.

Two towns A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. Find the speeds of both the cars.

Diagonals AC & BD of a gm ABCD intersect at O. Given that AB = 14 cm & the perpendicular distance between AB & DC is 10 cm, find the area of AOD.

If the diagonal BD of a parallelogram bisects $\angle$B and $\angle$D, then ABCD is a

Express $(3\times {10}^2)+(2\times {10}^1)+(9\times {10}^0)+(2\times {10}^{-1})+(5\times {10}^{-2})$ as a numeral.

If $y=3^x$ and 'x' and 'y' are both integers, which of the following is equivalent to $3^{2x}+3^x\times 3?$

The number of line segments required to construct a triangle is

The mean of 6 observation is 60. If one of the number is excluded , then the mean becomes 45, find the excluded number

1. 384

Question 10
The area of an equilateral triangle ABC is 17320.5cm². With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use π=3.14and√3=1.73205)

In the following figure ABCD is a trapezium in which $AB\parallel DC$. Find the measure of $\angle C$.

If 14.287628762876........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is ________.

In a survey of 200 students from 7 different schools, 50 people do not play NFS, 40 people do not play Dota and 10 people play no online game. Then find the no. of people out of 200 people who do not play both the games provided these are the only two games on offer.

For the following distribution, the modal class is

$\begin{array}{cc}Marks& Numberofstudents\\ Below10& 3\\ Below20& 12\\ Below30& 27\\ Below40& 57\\ Below50& 75\\ Below60& 80\end{array}$

Which of the following satisfies.

$|x+y|<|x|+|y|$

What must be subtracted from $(4x^3-3x+5)$ to get $(2x^2-3x^3+5x-2)$ ?

Find the average marks obtained by 20 students in a class.

$$\begin{array}{cc}Marks& Frequency\\ 87& 2\\ 78& 3\\ 53& 1\\ 98& 2\\ 92& 2\\ 97& 1\\ 81& 2\\ 65& 2\\ 98& 3\\ 76& 2\end{array}$$

Y = $(xy+yz{)}^2-2x^2{y}^{2}z$
When $x=-1,y=1$ and $z=2$, |Y| = ___

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154 cm². Find the total suraface area of the cone.

An irrational number is marked on the number line (C) as shown in fig. Then the value of C is ___.

In the given figure, ABQP and ABCD are two parallelograms on the same base AB. $\frac{AreaofparallelogramABCD}{AreaoftrianglePAB}isequalto:$

__

Question 32

$3.2\times 10=$___.

Write the supplement of each of the following angles:
(i) ${54}^{\circ }$ (ii)${132}^{\circ }$ (iii) ${138}^{\circ }$

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volume is ?

In the figure , $ABCD$ is a parallelogram in which $\angle DAB={75}^{\circ }and\angle DBC={60}^{\circ }$. Compute $\angle CDBand\angle ADB.$

The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number.

Find out the mode of the following marks obtained by 15 students in a class

Marks:4,6,5,7,9,8,10,4,7,6,5,9,8,7,7.

If (x+2) and (x-1) are factors of the polynomial $p\left(x\right)=x^3+10x^2+mx+n$ then
(a) $m=5,n=-3$
(b) $m=7,n=-18$
(c) $m=17,n=-8$
(d) $m=23,n=-19$