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Which of the following numbers is irrational?

(a) $\sqrt{\frac{4}{8}}$

(b) $\frac{\sqrt{1250}}{\sqrt{8}}$

(c) $\sqrt{8}$

(d) $\frac{\sqrt{24}}{\sqrt{6}}$

Plz explain that what is delta of lowercase

1. 6

Write the coefficients of in each of the following:

(i) (ii)

(iii) (iv)

If the ratio of sides (taken in order) of a quadrilateral is a:b:b:a, then it is a ___.

Find the Y intercept of the line 4x - 3y + 9 = 0. [2 MARKS]

Verify whether D is the mid-point of $\overline{AG}$.

The 4-digit number $7x86$ is evenly divisible by 9 and other 4-digit number $7y86$ is evenly divisible by 3.

Which of the following are smallest values of $x\&y?$

The volume of a cube is given by the polynomial p(x)= 27x³+54x²+36x+8 find the possible expression for the side of the cube

Question 10 (i)

A piggy bank contains hundred 50 p coins, fifty Re. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p coin?

It costs Rs 3300 to paint the inner curved surface of a cylindrical vessel 10 m deep at the rate of Rs 30 per $m^2$.Find the

(i) inner curved surface area of the vessel,

(ii) inner radius of the base, and

(iii) capacity of the vessel.

Centroid of an equilateral triangle coincides with its

Classify the following numbers as rational or irrational:

(i) $2-\sqrt{5}$ (ii) $(3+\sqrt{23})-\sqrt{23}$ (iii) $\frac{2\sqrt{7}}{7\sqrt{7}}$

(iv) $\frac{1}{\sqrt{2}}$ (v) $2\pi$

A kite is flying on a string of 40 m. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is ${30}^{\circ }$. Find the height at which the kite is flying.

A data is such that its minimum value is 86 and range is 32, then the maximum value is

Simple interest on a sum of money for 2 years at 4% is Rs. 450. Find compound interest on the same sum and at the same rate for 2 years.

A ray of light parallel to $x-$axis is incident on a circle $(x-2{)}^2+y^2=4^2$ polished from inside as shown in the figure. Find the co-ordinate of $x\text{and}y$ w.r.t origin of the point at which the incident ray parallel to $x-$axis should fall such that the reflected ray deviated by ${60}^{\circ }$ after reflection.

Assertion: Mode of the given data 110, 120, 130, 120, 110, 140, 130, 120, 140, 120, is 120.

Reason: The observation that occurs most frequently, i.e., the observation with maximum frequency is called mode.

Which of the following is correct ?

If $2160=2^a.3^b.5^c$, find a, b and c. Hence calculate the value of $3^a\times 2^{-b}\times 5^{-c}$

Factorise:

(i)

(ii)

The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in the given figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm² and black paint costs 5 paise per cm².

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two vectors such that $|\overrightarrow{a}|=|\overrightarrow{b}|,$ then the greatest value of $|\overrightarrow{a}+\overrightarrow{b}|+|\overrightarrow{a}-\overrightarrow{b}|$ is equal to

1. 0.098

Which of the following polynomials are:
(i) Having a degree of atleast 4.
(ii) Trinomial ?

1. 1930

The figure formed by joining the mid-points of the adjacent sides of a rectangle is a