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What is the difference between rotational symmetry and summetry

Line AB of 4 cm is drawn. Another line CD which is congruent and perpendicular to AB is drawn. Length of CD is______.

If p(x) = x² - 2*√2x + 1

Find p(2√2)

In a triangle abc angle b is greater than C if m is the bisector of the angle BAC and a and is perpendicular to BC prove that angle m a n is equal to half Angle B minus C

In polynomial can a constant have a variable as exponent?

Eg:-45^×

Which of the following is an irrational number ?

Which of the following should be the SECOND sentence after rearrangement?

The molal depression constant for water is ${1.86}^{\circ }C$. The freezing point of a 0.05-molal solution of a non-electrolyte in water is

In the figure, $O$ is the centre of the circle. If $\angle BAC={52}^{\circ }$, then $\angle OCB$ is equal to

In $\Delta ABC,$ AD is the median, find the length of AD if AC =7 cm, BC =8 cm and AB =9 cm.

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If $b$ is any number such that $b>0$ and $b\ne 1$ then,$lo{g}_{b}1$=___

In the given figure $\angle$ AOC = ${130}^{\circ }$, The value of $\angle$ ABC (in degrees) is _______.

AB is a line segement. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 12.26). Show that the line PQ is perpendicular bisector of AB.

The cost of ball pen is Rs 5 less than half of the cost of fountain pen. Write this statement as a linear equation in two variables.

If x =3, y = 2 is a solution of a linear equation in two variables, we write the solution as (3,2). What is this notation called?

Factorise $a^3-27b^3+2a^{2}b-6a{b}^2$

Draw the incircle of equilateral triangle of side 5 cm. Measure the radius of the circle.

The perimeter of a triangle in which all the angles are congruent and one of the side lengths is equal to 4 cm is:

The value of $\sum _{r=1}^{n}log\left(\frac{a^r}{b^{r-1}}\right)$ is

Simplify√72-√800-√18

(5)^x-3*(3)^2x-8

$3x–4y=1$...(1)
$5x–6y=7$...(2)
In the above equations, which of the following step can to be done to numerically equate the coefficients of $x$?

Pavan has built a conical flask using $550m^2$ of aluminium sheet. If the radius of the flask is $7m,$ then how much water he can fill into the flask (in litres)?

[The bottom of flask is made out of some other material]

Sum of 2 number is 108. If one exceeds the other by 42. Find the number

How many subjects are covered by the State List?

The set of real values of x satisfying $lo{g}_{\frac{1}{2}}(x^2-6x+12)\ge -2$ is

Let $f\left(x\right)=\frac{x-\left[x\right]}{1+x-\left[x\right]},xϵR$, where [ x] denotes the greatest integer function. Then, the range of f is

In the following figure, it is given that AB $\parallel$ DE and BC = EC. $△$ABC $\cong$ $△$DEC by __ congruence rule

Simplify $\frac{5-\sqrt{10}}{5+\sqrt{10}}$ - $\frac{5+\sqrt{10}}{5-\sqrt{10}}$

A ladder is placed against a wall such that its foot is at a distance of $3m$ from the wall and its top reaches $4m$ above the ground. Find the length of the ladder.

To construct a triangle which of the following is required?

The domain of the function $f\left(x\right)=\frac{1}{{\log }_{10}(1-x)}+\sqrt{x+2}$ is

In the given figure, if OA = BO and OC = OD, then, $\Delta AOD$ $\cong$ $\Delta BOC$ by __ congruence rule.

What is the average number of days in a month from January to August in a non - leap year?

If $x^3$ + 6$x^2$ + 4x + k is exactly divisible by (x + 2), then the value of k is:

How many litres of water flow out of a pipe having an area of cross-section of $5c{m}^2$ in one minute, if the speed of water in the pipe is 30 cm/ sec?

Draw the graph of the line 4x + 3y = 24.

(i) Write the coordinates of the points where this line intersects the x - axis and the y - axis.

(ii) Use this graph to find the area of the triangle formed by the graph line and the coordinate axes.

Factorise:
$2a^2+bc-2ab-ac$

If $(x-1)$ is a factor of $m{x}^2-\sqrt{2}x+1=0$, then the value of '$m$ ' is .

Solve the Following:

(a) What is the equation for the line the sum of whose X and Y coordinates is always 8? Find a point on this line which is at a distance of 2 units from the X axis in the positive direction?

(b) Write the equation y = 3x + 2 in the form ax + by + c = 0, and indicate the value of a b and c. [4 MARKS]

If f(x) satisfies f(x+y) = f(x) + f(y) and f(5) = 15 then find f(3)?