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What are undefined objects in Euclid’s geometry?

Two circles intersect at $\text{B}$ and $\text{E}$. Quadrilaterals $\text{ABEF}$ and $\text{BCDE}$ are inscribed in these circles such that $\text{ABC}$ and $\text{FED}$ are line segments. Also, $\angle \text{A}={96}^{\circ }$ and $\angle \text{F}={75}^{\circ }$, the value of $x$ is:

1. 4800

How many squares are there in the given figure?

The value of $24\times 76$ is calculated using binomial multiplication is

The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are eachincreased by 3 cm, the area of the new rectangle will be $84c{m}^2$ more than that of the given rectangle. Find the length and breadth of the given rectangle.

If the price of sugar is increased by 25% today. By what percent should it be decreased tomorrow to bring the price back to the original ?

In the given figure, If AB || DC and P is the midpoint of BD. Prove that P is also the midpoint of AC.

Question 61

If 2A7 $÷$ A = 33, then find the value of A.

The sides of a rectangle are in the ratio 4:5 find its sides if the perimeter is 90 cm.

Factorise : $14x^2+x-3$

A point has ___ dimensions.

Find the median for the distribution given below.

$$\begin{array}{cccccc}\text{Wages}& 200-300& 300-400& 400-500& 500-600& 600-700\\ \text{Number of labourers}& 3& 5& 20& 10& 6\end{array}$$

1. 470

Solution of equation 2x + 3 = 17 is:

Question 5 (ii)

Give examples of polynomial p(x), g(x), q(x) and r(x), which satisfy the division algorithm and

deg q(x) = deg r(x)

Find the ratio of the distance from the center of the circle to congruent sides of the triangles, if $△AEC\cong △DFB.$

In a particular type of 10 kg of alloy, the ratio Copper to Carbon is 3:2. Now, $2kg$ of Copper is added to the mixture.
Choose the correct options below:

Find numbers from 100 to 400 that end with 0, 1, 4, 5, 6 or 9, which are perfect squares.

A quadrilateral with all four sides equal, each angle not equal to ${90}^{\circ }$ is called _________. Diagonals of such a quadrilateral bisect each other at ____________.

The number obtained after increasing 200 by 20% is ____.

The angle-bisectors of a parallelogram form a quadrilateral as shown in the figure. Then ABCD is a _____.

Identify the base in the given example: $5^3$
Base: ___

${\left(\frac{-5}{3}\right)}^{-1}=?$

$\left(a\right)\frac{5}{3}$

$\left(b\right)\frac{3}{5}$

$\left(C\right)\frac{-3}{5}$

(d)None of these

1. 5000

Which of the images given in options is the reflection transformation of the following image with respect to the Y-axis?

Question 7

To find out the concentration of $S{O}_2$ in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

$\begin{array}{cc}\text{Concentration of}S{O}_2\text{(in pmm)}& \text{Frequency}\\ 0.00-0.04& 4\\ 0.04-0.08& 9\\ 0.08-0.12& 9\\ 0.12-0.16& 2\\ 0.16-0.20& 4\\ 0.20-0.24& 2\end{array}$

Find the mean concentration of $S{O}_2$ in the air.

A sum of ₹12000 is invested for 1.5 years which will be compounded half yearly at a rate of 10%. Find the amount obtained.

We have a parallelogram ABCD with AC and BD as diagonals. In Parallelogram ABCD, $\angle ABC={130}^{\circ }$, $\angle DAC={15}^{\circ }$, $\angle CAB={25}^{\circ }$, AB = 5 cm and CD = 7 cm. Can we construct this parallelogram?

Find the value of $x^3+27y^3+9x^{2}y+27x{y}^2$ when $x=55$ and $y=15$.

Question 47

State whether the following statement is true (T) or false (F).

If the sum of two consecutive number is 93 and one of them is x, then the other number is 93-x.