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The product or quotient of a non-zero rational number with an irrational number is:

a positive number is 5 times another number if 21 is added to both the numbers then one of the new number becomes twice the other number what are the numbers

AB & CD are two equal chords of a circle with Centre O, which intersect each other at a right angle at point P. If the perpendiculars from the centre to AB and CD meet them at M and N respectively, then MONP is a_______.

The value of sin 60^o cos 30^o +cos 60^o sin30^o is

Is division closed under rational numbers and if yes, what if I divide 0.5 by 0, I will get an undefinined answer. So is division closed under rational numbers .

How old will Ravi be after 10 years, if his age was 'x' 10 years ago?

In the adjoining figure, it is given that $\angle A={60}^{\circ }$, CE || BA and $\angle ECD={65}^{\circ }$ then $\angle ACB=$ __________.

The point of intersection of the lines $\overrightarrow{r}\times \overrightarrow{a}=\overrightarrow{b}\times \overrightarrow{a}$ and $\overrightarrow{r}\times \overrightarrow{b}=\overrightarrow{a}\times \overrightarrow{b}$ is

Two coins are tossed 1 by 1 what is the probability that both are not tails at least one Street

Factorise:
$a^2-b^2-4ac+4c^2$

(a) Both Assertion (A) and Reason (R) are true and Reason (A) and Reason (R). For selecting the correct answer, use the following code :

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(c) Assertion (A) is true and Reason (R) is false.

(d) Assertion (A) is false and Reason (R) is true.

$\begin{array}{cc}\text{Assertion (A)}& \text{Reason (R)}\\ \sqrt{3}isanirrationalnumber.& Thesumofarationalnumber\\ & andanirrationalnumberisan\\ & irrationalnumber.\end{array}\text{The correct answer is: (a)/(b)/(c)/(d).}$

If f(t)=4t²-3t+6,find f(4)

$\text{The base of an isosceles triangle is 16 cm and its area is 48}c{m}^2.\text{The perimeter of the triangle is}\left(a\right)41cm\left(b\right)36cm\left(c\right)48cm\left(d\right)324cm$

Express the following rational numbers as decimals:

(i) $\frac{2}{3}$ (ii) - $\frac{4}{9}$ (iii) $\frac{-2}{15}$ (iv) $\frac{22}{13}$ (v) $\frac{437}{999}$ (vi) $\frac{33}{26}$

Find the value of $\frac{21\sqrt{12}}{10\sqrt{27}}$

From a solid right circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and base is removed.Find the volume of the remaining solid.$(Take\pi =\mathrm{3.14.})$

Write two solutions for each of the following equations:

(i) $3x+4y=7$ (ii) $x=6y$ (iii) $x+\pi y=4$ (iv) $\frac{2}{3}x-y=4$

Two parallelograms are on the same base and between the same parallels. The ratio of their areas is

If PQRS is a square then write the measure of $\angle SRP$.

A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surface area will be:

1. 90

Question 77 (i)

From the following table determine if x and y are in direct proportion or not

In a triangle $ABC$, $D$ is the midpoint of $AB$ and $E$ is a point on $AC$ such that $DE||BC$. Then

In quadrilateral ABCD, its diagonals AC and BD intersect at point O such that $\frac{OC}{OA}=\frac{OD}{OB}=\frac{1}{3}$

If CD =4.5 cm; find the length of AB.

Which of the following polynomials below is identical to the polynomial $(x^2-1)(x^2-4)$?

Select the option that contains the factor of $4x^3+4x^2-x-1$

Question 38

Fill in the blanks to make the statements true.

If two ratios are equal, then they are in ___.

One angle of a quadrilateral is of ${120}^{\circ }$ and the remaining three angles are equal. Find each of the three equal angles. [2 MARKS]

In the given figure, diameter of the semi-circle is $6cm$ and $CD=1cm$.

Find $AB$

x/2+90-x

(28)²+(–15)²+(–13)²

Which of the following defines Range of a given data set.

PQRS is a quadrilateral in which diagonals PR and QS intersect in O.

Find the correct relation between perimeter and diagonals of the quadrilateral.

The altitude of an isosceles triangle is $8cm$ and the perimeter is $32cm.$ Calculate the area of the triangle.

In the figure, $△ABC$ is an isosceles triangle in which $AB=AC.$ If $D$ and $E$ are the mid-points of sides $AB$ and $BC$ respectively and $\angle DOE={120}^{\circ },$ find $\angle ODE$

In a malaria epidemic the cases diagonsed were as follows

Date (July) Number

1 5

2 12

3 20

4 27

5 46

6 30

7 31

8 18

9 11

10 5

11 0

12 1

With the help of an ogive .. find on what days does the mode , upper quartile and lower quartile occur...?

Ratio of profits earned in a business by A, B and C is $\frac{1}{2}$ : $\frac{1}{4}$ : $\frac{1}{3}$. Total amount of profit earned in the business is Rs. 5252. Find the profit earned by A.

If the middle point of a chord of the circle $x^2+y^2+x-y-1=0$ be (1,1), then the length of the chord is

Which of the following is a correct statement?

Question 1 (i)
State whether the following statement is true or false. Justify your answer.

Every irrational number is a real number.

What is 75% of 440?

The expression, ${(2^{-1}+3^{-1}+4^{-1})}^0$is equal to :