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The scale factor for constructing similar triangles means the __ of corresponding sides of triangles.

In $\Delta ABC$ and $\Delta DEF$, $\angle A=\angle E={40}^{\circ }$, AB : ED = AC : EF and $\angle F={65}^{\circ }$, then the value of $\angle B$ is

In the figure PA and PB are tangents, . What is the measure of ?

Draw the graph of the equations x = 3, x = 5 and 2x - y - 4 = 0. Also, find the area of the quadrilateral formed by the lines and the x-axis.

The line $L_1:\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ lies in the plane $2x-4y+z=7$, then the equation of the plane containing the line $L_1$ and perpendicular to the plane $2x-4y+z=7,$ is:

In the given figure, $\frac{BC}{AC}=\frac{24}{25}$. The value of $cose{c}^{2}A–{\cot }^{2}A=$ ___

Question 1 (iv)

State whether the pair of triangles in the below figure is similar. Write the similarity criterion used by you for answering the question and also write the pair of similar triangles in the symbolic form:

Draw a square of sides 5 centimetres and draw its circumcircle and incircle.

If $sinA=\frac{3}{4}$, then cos A = x and tan A = y.

Choose the correct options.

If n(A) = m and n(B) = n, then find the total number of relations that exist between A and B.

How many of the following pairs of function are identical?

(a) f (x) = $\frac{x^2}{x},g\left(x\right)=x$

(b) f (x) = $\frac{x^2-1}{x-1}$ g(x) = x + 1

(c) f (x) = $se{c}^{2}x-ta{n}^{2}x$ , g(x) = 1

(d) $\frac{1}{x}f\left(x\right)=\frac{x}{x^2},g\left(x\right)=\frac{1}{x}$

Question 18

$2\frac{2}{3}÷5$ is equal to

(a) $\frac{8}{15}$
(b) $\frac{40}{3}$
(c) $\frac{40}{5}$
(d) $\frac{8}{3}$

$\begin{array}{cc}\text{Marks}& \text{Cumulative~Frequency}\\ 0& 0\\ 10& 7\\ 20& 28\\ 30& 54\\ 40& 71\\ 50& 84\\ 60& 105\\ 70& 147\\ 80& 180\\ 90& 196\\ 100& 200\end{array}$

Find the frequency for the class interval 70 - 80.

The sum of reciprocals of Arjun’s ages 3 years ago and 5 years from now is $\frac{1}{3}$. His present age is ___ years.

Let $\text{A}=\{5,6,7,8\},$$\text{B}=\{-11,4,7,-10,-7,-9,-13\}$, and $f=\left\{\right(x,y):y=3-2x,x\in \text{A},y\in \text{B}\}$. What is the range of $f$?

In the given figure, ∠ABC = ${90}^{\circ }$ and BM is a median, AB = 8 cm and BC = 6 cm. Then, choose the correct option(s).

A solid sphere and a solid hemi-sphere have the same total surface area.Find the ratio between their volumes.

What is the probability that the month of January may have 5 mondays in a leap year?

The mean of first 10 natural numbers is ______.

In the given figure, PT is tangent to the circle at T. If PA = 4 cm and AB = 5 cm, find PT. AB is equal to diameter.

A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
$[Assume\pi =\frac{22}{7}]$

What is the distance between the points (0,4) and (-3,0)?

In fig., if $<OAB={40}^{\circ }$, the < ACB is equal to:

1. 180

A circle has an integral radius of 5 cm. Then the nature of the perimeter is ___.
[rational/irrational]

If A = $\left[\begin{array}{ccc}1& 2& -1\\ -1& 1& 2\\ 2& -1& 1\end{array}\right]$, then det (Adj (Adj A)) is