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To construct a triangle by the method of Triangle Construction 2, the concept of an isoceles triangle is used. What method/step is used to create isoceles triangle during the construction? (2 words)

The circus tent is in the shape of right circular cone, with base radius and height from the ground as 12 m and 16 m respectively. The area of tarpaulin required to make the tent is(Use $\Pi$ = 3.14)

The probability of India winning an India-Pakistan match could be:

Two line segments are said to be congruent, if they have __________.

What is a polynomial?

The altitude of a circualr cylinder is increased six times and the base area is decreases to one-ninth of its value. The factor by which the lateral surface of the cylinder increases, is

(a) $\frac{2}{3}$ (b) $\frac{1}{2}$

(c) $\frac{3}{2}$ (d) 2

If $\frac{3+\sqrt{5}}{2\sqrt{5}+3}=a+b\sqrt{5}$, then the values of irrational numbers $a$ and $b$ are

Let $\overrightarrow{a}=\hat{i}+\hat{j}+\hat{k},\overrightarrow{b}=\hat{i}-\hat{j}+\hat{k}$ and $\overrightarrow{c}=\hat{i}-\hat{j}-\hat{k}$ be three vectors. A vector $\overrightarrow{v}$ in the plane of
$\overrightarrow{a}$ and $\overrightarrow{b}$, whose projection on $\overrightarrow{c}$ is $\frac{1}{\sqrt{3}}$, is given by

Signs of abscissa and ordinate of a point in the third quadrant will be-

In the given figure, the side BC of $\Delta$ ABC is produced to D. If the bisecter of $\angle BAC$ meets BC at L,, then $\angle ABC+\angle ACD$ = ___

Question 4(i)
Shade
$\frac{1}{2}$ of the circles in box

A bag contains 5 red balls and 4 blue balls. If one blue ball is taken out of the bag, the number of blue balls left and the total number of balls left will be ___ and ___ respectively.

On a particular day, at a crossing in a city, the various types of 240 vehicles going past during a time interval were observed as under:
$\begin{array}{cccc}Typeofvehicle& Two-wheelers& Three-wheelers& Four-wheelers\\ Frequency& 84& 68& 88\end{array}$

Out of these vehicles, one is chosen at random. What is the probability that the chosen vehicle is a two-wheeler?

As 16/4=4=4/1 .A rational number which can be written with denominator 1 is an integer.

The decimal expansion 0.080080008000080000080000008....... is a

The correct relation is :

Can u give an example to show that the product of a rational number and an irrational number may be a rational number?

The X-coordinate or abscissa of a point is its perpendicular distance from the ______.

Two rectangular boxes have the same height and length, but different widths as shown in the figure.


If the difference in the volumes of the boxes is 360 cm${}^3$, then what is the height of the boxes?

( sinA+ cosecA)^2+(cosA+secA)^2=5+sec^2A.cosec^2A

Prove the above identity.

Question 11
Which of the following is not the graph of a quadratic polynomial?

A glass cylinder with diameter 14 cm has water to a height of 7 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.

It is known that if p + q = 100 then q + p + r = 100 + r. The Euclid's axiom that illustrates this statement is:

Find the fraction form of decimal 0.123123123.....

Equation of circle touching the line |x-2|+|y-3|=4 will be

When $p\left(x\right)=x^3-3x^2+4x+32$ is divided by (x+2), the remainder is
(a) 0
(b) 32
(c) 36
(d) 4

Statement 1: A polynomial P(x) of degree greater than or equal to one, when divided by x – a, leaves a remainder zero.

Statement 2: x – a is a factor of the polynomial P(x).

If the angles of a triangle are in the ratio 1 : 2 : 3, then the measure of the largest angle is ___.

Constuct an equilateral triangle , each of whose altitudes measures 5.4 cm. Measure each of its sides.

Question 74

In the following question, state whether the given statement is true (T) or false (F).
A whole number divided by another whole number greater than 1, never gives the quotient equal to the former.

The longest chord of a circle is called as the ___ of the circle.

Write four rational numbers which are greater than -30 and less than 5.

The sum of four times of Keerthi's age and twice the age of her brother Shankar is 64. Choose the equation(s) that represent(s) the following situation accordingly.
(Assume Keerthi's age to be '$x$' and Shankar's age to be '$y$'.)

Expand ${(4a–2b–3c)}^2$

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures ${90}^{\circ }$.
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure ${90}^{\circ }$.

Find the number of common tangents when circles are non intersecting, intersecting, externally touching, internally touching to each other.

In figure, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region (in $c{m}^2$).

The dimensions of a rectangular box are in the ratio of $2:3:4$ and the difference between the cost of covering it with sheet of paper at the rates of $Rs.8$ and $Rs.9.50$ per $m^2$ is $Rs.1248.$ Find the dimensions of the box.

Any point on the x - axis is of the form

(a) (x, y)

(b) (0, y)

(c) (x, 0)

(d) (x, x)

The decimal form of $\frac{7}{8}$ is _.

The number of non-negative and non-positive integers is/are ___.