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Find the value of if ⁿP₁ = 10

If $2a+\frac{1}{2a}=8$, find :

(i) $4a^2+\frac{1}{4a^2}$

(ii) $16a^4+\frac{1}{16a^4}$

In a circle of radius 'r' and center 'O', P and Q are points on the circle such that OP $\perp$ OQ.

Suppose a = $\frac{1}{\sqrt{2}}$. Find PQ in terms of a and r.

If A and B are subsets of a set X, then A - B is ___________ .

Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.

___ is used to find the HCF of given set of two polynomials.

Question 112

Solve the following question:

Find the decimal fraction, which when multiplied by itself, gives 84.64.

Which of the following triangles have half the area of parallelogram KTRL.

The average of 2 and 3 is:

The mean and median of the following list of values are:

8, 9, 10, 10, 10, 11, 11, 11, 12, 13

Prove that :

$\left(i\right){\left(\frac{x^a}{x^b}\right)}^{\frac{1}{ab}}{\left(\frac{x^b}{x^c}\right)}^{\frac{1}{bc}}{\left(\frac{x^c}{x^a}\right)}^{\frac{1}{ca}}=1\left(ii\right)\frac{1}{1+x^{a-b}}+\frac{1}{1+x^{b-a}}=1$

Two numbers are respectively 30 percent and 40 percent less than a third number. What percent is the second of the first ?

Question 114

Solve the following question:

What will be the number of unit squares on each side of a square graph paper, if the total number of unit squares is 256?

Question: 1)Using appropriate properties find
1),-2/3*3/5+5/2-3/5*1/6
2)2/5*[-3/7 ]- 1/6*3/2+1/14*2/5

-PLEASE EXPLAIN THROUGH A VIDEO

The units digit in the expansion of ${16}^3$ is

An article is marked for Rs.1,300 and is sold for Rs.1,144. Find the discount percent.

The reciprocal of $-1$is

Question 68

State whether the following statement is true or false:

If x and y are integers such that $x^2>y^2$, then $x^3>y^3$

$\begin{array}{c}AB\\ +AB\\ +B\\ BB\end{array}$
A=___ ; B=___

Question 85 (i)

Expand the following, using suitable identities.

$(xy+yz{)}^2$

Eight pipes are required to fill a tank in 90 minutes. How long will it take to fill the tank if only 6 pipes are used?

If the HCF and the LCM of the polynomial are $x^2$ - 1, $x^4$ - 1 respectively. Find out the uncommon factor of the two polynomials.

$\text{The following table shows the percentages of buyers of four different brands of bathing soaps.}$

$\begin{array}{ccccc}\text{Brand}& A& B& C& D\\ \text{Percentage of buyers}& 20\%& 40\%& 25\%& 15\%\end{array}$

$\text{Represent the above data by a pie chart.}$

Using the prime factorisation method, find which of the following numbers are perfect squares:
(i) 441
(ii) 576
(iii) 11025
(iv) 1176
(v) 5625
(vi) 9075
(vii) 4225
(viii) 1089

Question 82(i)

Given below is a frequency distribution table. Read it and answer the questions that follow.
$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 5\\ 20-30& 10\\ 30-40& 4\\ 40-50& 15\\ 50-60& 12\end{array}$
What is the lower limit of the second class interval ?

Factorise:
$108a^2-3(b-c{)}^2$

Construct a lite ABCD in which AB=4 cm, BC=4.9 cm and AC=7.2 cm.

$\text{Oranges are bought at 6 for Rs.10 and sold at 4 for Rs. 9. Find the gain or loss per cet.}$

1. 7

In a surevey of 200 ladies, it was found that 82 like coffee while 118 dislike it. From these ladies, one is chosen at random. What is the probability that the chosen lady dislikes cofee ?

The value of ${\frac{(-7)}{\left(7^6\right)}}^6$ is ___

Which of these are examples of direct proportions?
(i) Cost price to the grocery.
(ii) The time required for completing a work to the number of workers doing that work.
(iii) Distance covered to the time when speed is constant.

By using the formula, find the amount and compound interest on:

What sum of money will amount to Rs 21296 in 3 years at $10\%$ per annum, compounded annually ?

Find the square root of the following numbers in decimal form:

2) 0.7225

When 50% is converted to a fraction, what will the fraction be?

A man is 10 times older than his grandson. He is also 54 years older than him. Find their present ages.

Divide 1500 into two parts such that 5% of the first part is equal to the 10% of the percent of the second part.

The shaft of two motor is driven by the belt if the distance between the shafts is 30 m and the radius of both shaft is 7m. Find the minimum length of the belt required to drive the two belts.

The sum of two numbers is $95$ if one exceeds the other by $15$. Find the numbers.

The compound interest on Rs. 25000 at 10% per annum is Rs. 5250. The period (in years) is:

(x+2y)²-4 (2x-y)²