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Question 3(h):

Draw any circle and mark:

an arc

Three angles of a quadrilateral are 60°, 75° and 100°. Find the fourth angle. Also, find all the four external angles.

If $A=\{1,8,27\}$ and $B=\{x:x=n^3,n\in N,n<4\},$then A and B are ___ sets.

Question 4 (iii)
State whether the following statement is true or false. Give reasons for your answer.

Every rational number is a whole number.

Which of the following is a scalar matrix

A line segment CD has two points R and S such that CR:RD=2:3 and CS:SD=5:6.



Sort in ascending order of lengths.

In the given figure, ABCD is a cyclic quadrilateral. AE is drawn parallel to CD and BA is produced to F. If $\angle ABC={92}^{\circ }\text{and}\angle FAE={20}^{\circ },\text{then find}\angle BCD.$

If $A=\left[\begin{array}{ccc}2& 2& 2\\ 2& 2& 2\\ 2& 2& 2\end{array}\right]$, then $A^3-35A=$

Which of the following methods or concepts is not used in method for Triangle construction 2?

Find the value of the polynomial at

(i) x = 0 (ii) x = −1 (iii) x = 2

In the given figure, D and E are mid points of sides AB and AC of $△$ABC. Which of the following is true ?

If $(x^2-y^2)=18$ and $(x-y)=3$, find the value of $16x^2{y}^2$.

Question 53

If one angle of a triangle is kept fixed, then the measure of the remaining two angles vary inversely with each other.

In figure,$\angle$AOC =${50}^{\circ }$and$\angle$BOC = 20${}^{\circ }$, find$\angle$AOB.

The heights (in cm) of 9 students of a class are
148, 144, 152, 155, 160, 147, 150, 149, 145.
Find the median height.

According to the adjoining graph, the product of the zeroes of the polynomial will be

In the given figure, $D$ and $E$ are mid points of sides $AB$ and $AC$ of $△ABC.$ Which of the following is correct?

For constructing a triangle with a given base, a base angle and difference between the other two sides, a ___ bisector is required.

Find the surface area of a sphere of diameter
(i) 14 cm (ii) 21 cm (iii) 3.5 cm

The product and difference of inner and outer radius of a hemi-spherical shell are $12c{m}^2$ and 1$cm$ respectively. The sum of inner and outer curved surface areas of the shell is equal to

The value of $si{n}^2{29}^{\circ }+si{n}^2{61}^{\circ }$ is

Match the following:
$\begin{array}{cc}\text{A}.y=-\frac{3}{2}-\frac{x}{2};x=-3-2y& \text{(i)Inconsistent pair}\\ \text{B}.5x=6-3y;9y=12-15x& \text{(ii)Dependent pair}\\ \text{C}.y=\frac{2}{7}-\frac{x}{7};y=\frac{18}{5}-\frac{x}{5}& \text{(iii)Unique solution}\end{array}$

Find the value of x in the figure.

1. 1

Divide the range into appropriate number of class intervals and obtain the frequency distribution of expenditure.

The length of arc AB is twice the length of arc BC of a circle with centre O. If $\angle$AOB is ${100}^o$ then $\angle$BOC is

Let $P\left(x\right)=x^2+bx+c$ be a quadratic polynomial with real coefficients such that $\underset{0}{\overset{1}{\int }}P\left(x\right)dx=1$ and $P\left(x\right)$ leaves remainder $5$ when it is divided by $(x-2).$ Then the value of $9(b+c)$ is equal to :