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Find two rational number between -2 and 5

We know that x=y is an single powerd equation.

But watch this,

x=y or, x/y=1 or, x.y^(-1)=1 or, x^1.y^(-1)=1

therefore, it is a 0 powerd equation [1+(-1) = 0]

So, the same equation is a 0 and a single powerd equation together. How can it be possible?

For each of the equations given in select the equation whose graph can be made on a graph paper

(I) x+y=0 , y=2x , y=x ,y=2x+1

If $f:R\to R$ satisfies $f(x+y)=f\left(x\right)+f\left(y\right)$, for all $x,y\in R$ and $f\left(1\right)=7$ ,then ${\sum }_{r=1}^{n}f\left(r\right)$ is

The compound interest on a certain sum of money at 10% per annum for two years is ₹315. Calculate the simple interest on the same sum for four years at 12% per annum.

\int x\cdot y^2dx + \int x^2\cdot ydy= \frac{1}{2}\int d(x^2\cdot y^2)

Is the above equation true? It's a step while solving a problem from work energy Power lesson in physics. The solution is given by the Byju's team itself.

A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625 $\pi m^2$, then the height of the tent is____$m$.

Solve for x:

log (3x + 4) = 2

Question 9
A field is in the shape of a trapezium whose parallel sides are 25m and 10m.The non-parallel sides are14 m and 13 m. Find the area of the field.

An angle whose measure is equal to 180^o is called a

In a cyclic quadrilateral ABCD, If $m\angle A=3\left(m\angle C\right)$. Find $m\angle A$.

Each edge of a cube is increased by $50\%.$ Find the percentage increase in the surface area of the cube.

Match the following decimal forms to their correct $\frac{p}{q}$ form.

A juiceseller has a large cylindrical vessel of base radius 15 cm filled up to a height of 32 cm with orange juice. The juice is filled in small cylindrical glasses of radius 3 cm up to a height of 8 cm, and sold for Rs 15 each. How much money does he receive by selling the jiuce mompletely ?

Find the total surface are of a hemisphere and a solid hemisphere each of radius 10 cm.

Find the values of ${}^{\prime }{a}^{\prime }$ and ${}^{\prime }{b}^{\prime }$ so that $(x+1)$ and $(x-1)$ are factors of $x^4+a{x}^3-3x^2+2x+b$

If $2x+3y=13andxy=6,$ find the value of $8x^3+27y^3.$

If $x=\frac{1}{1+\sqrt{2}},$ then the value of $x^2+2x+3$ is

Find the value of k if x - 3 is a factor of $k^2{x}^3-k{x}^2$ -3kx - k

There is a circular swimming pool. There is a bob at the centre of the pool at a distance of $\frac{50}{\pi }$ m from the pool’s wall. Shyam is standing next to the

wall and holding a thread whose other end is connected to the heavy stationary bob at the centre. Holding the thread Shyam now moves along the wall for 20

seconds and the angle between the initial and final positions of the thread is ${12}^{\circ }$. What is Shyam’s speed in metres/minute?

In fig, if line PQ and RS intersect at point T, such that $\angle PRT={40}^{\circ }$ , $\angle RPT={95}^{\circ }$ and $\angle TSQ={75}^{\circ }$, find $\angle SQT$. [4 MARKS]

Find the root of the equation: $x-6=0$

$\text{If}sinA=\frac{1}{2}\text{and}cosB=\frac{1}{\sqrt{2}}$,
then find the value of (A+B).

In the given figure, $AB>AC.$ Then, which of the following is true?

(a) AB < AD

(b) AB = AD

(c) AB > AD

(d) Cannot be determined

$ABCD$ is a kite having $AB=AD$ and $BC=CD$. Prove that the figure formed by joining the mid-points of the sides, in order, is a rectangle.

In the figure, PQ|| AB and PR|| BC. If $\angle QPR={102}^0$, Determine $\angle ABC$. Give reasons.

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of teh pipe, if $1c{m}^3$ of wood has a mass of 0.6 g.

The actual length of a painting was $2m$. What is the length of the photograph if the scale used is $1mm:20cm$.

The simplest rationalisation factor of $(2\sqrt{2}-\sqrt{3})$is

(a)$2\sqrt{2}+3$ (b)$2\sqrt{2}+\sqrt{3}$ (c)$\sqrt{2}+\sqrt{3}$ (d)$\sqrt{2}-\sqrt{3}$

A goldsmith can choose between 3 metals A, B or C to make an artifact. What is the probability that he chooses C?

A rectangle of length “$a$” and breadth “$b$” is rotated by ${360}^{\circ }$ about its length. The volume of the resulting cylinder is _____.

Which of the following is a cubic monomial?

Question 69

A rule for finding the approximate length of diagonal of a square is to multiply the length of a side of the square by 1.414. find the length of the diagonal when:
(a) the length of a side of the square is 8.3 cm.
(b) the length of a side of the square is exactly 7.875 cm.

Why is pi an irrational number although it can be expressed in the form p\q i.e.22\7?

By which property are $\Delta QST$ and $\Delta QUT$ congruent to each other?

Solve the following systems of inequalities graphically:

$x+2y\le 10,x+y\ge 1,x-y\le 0,x\ge 0,y\ge 0$

Construct a triangle ABC in which BC is 5 cm, $\angle B$ is ${60}^{\circ }$ and AB - AC=0 cm. What type of triangle is this? [4 MARKS]

How can I prove that a parallelogram ( which is not a rectangle ) is not cyclic????