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What is the minimum possible value of the probability of an event?

1. 165

The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of $a\times b$
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The sides forming the right angles and hypotenuse of a right angled triangle are xcm, (3x-2)cm and (2x+2)cm respectively. Calculate the length of the sides of the triangle.

If the height of an equilateral triangle is 6 cm , then find the area of the triangle

Which of the following angle can be constructed with the help of a ruler and a compass?

The Average performance by Ajay in all his exams has been 85%. The Total marks are always 50.

If there were exams in every quarter of the Academic year, What is the total marks scored by him?

X=3+√2 then find thethe value of √X-1/√X

The vectors $\overrightarrow{a}=3\hat{i}-2\hat{j}+2\hat{k}$ and $\overrightarrow{b}=-\hat{i}-2\hat{k}$ are the adjacent sides of a parallelogram.Then,angle between its diagonals is

Frame a pair of equations using the following information:

The perimeter of a rectangle is $8cm$. The length of rectangle is $2cm$ longer than the breadth.

A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.

Represent the following information using a linear equation in two variables: Abhay has a hundred rupees with him and he spends the entire amount on 2 items at a sweet shop, the first one costing 3 rupees per piece and the second one costing 4 rupees per piece.

Respected Sir,

Please help me in solving my below mentioned doubt:

What must be subtracted from x³ - 6x² - 15x + 80 so that the resulting polynomial is exactly divisible by x² + x + 22?

The ratio between the radius of the base and the height of a cylinder is 2:3. If its 1617$c{m}^3$then its total surface area is

$\left(a\right)308c{m}^2\left(b\right)462c{m}^2\left(c\right)540c{m}^2\left(d\right)770c{m}^2$

Evaluate the following products without multiplying directly: 104 × 96

If $(x-1)$ is a factor of $a{x}^3-b{x}^2+cx$, what is the value of $a^3-b^3+c^3$?

In the given figure, $P$ is the mid point of side $CD$ and one of the vertices of parallelogram $ABCP.$ Which of the following options is correct?

Which of the following parameters given in the figure are enough to construct the figure (choose the minimum number of parameters possible):

Distance AO = d

Radius of the bigger circle (with center A) = R

Radius of the smaller circle (with center B) = r

$\angle$POA = $\theta$

Note that other than the parameters given in an option, nothing else is given and you have to come up with the figure as given above.

If the probability of winning a tennis match is one of more than twice of the probability of losing the match find the probability of losing the game

The point (b,3) lie on the graph of the linear equation 2x-3y+11=0 find b.

Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side on which it is constructed. If the largest side is $13,$ sum of the areas of the three squares is ___. [The angle opposite to the blue coloured square is the right angle]

In the figure, if $EC\left|\right|AB,\angle ECD={70}^{\circ }$and$\angle BDO={20}^{\circ },then\angle OBD$ is

What is the number of arcs that need to be drawn during the construction of 60 degree angle?__

Find the frequency of getting a number greater than 2 but less than 5.

$$\begin{array}{ccccccc}Dice& 1& 2& 3& 4& 5& 6\\ Frequency& 10& 12& 6& 4& 8& 10\end{array}$$

If $x+y+z=8$ and $xy+yz+zx=20$, find the value of $x^3+y^3+z^3-3xyz$.

IF AD is a median of a triangle ABC, then prove that triangles ADB and ADC are equal in area. If G is the midpoint of median AD, prove that ar $\left(△BGC\right)=2ar\left(△AGC\right).$

If $2x+3y=10$ and $xy=2$, the value of $8x^3+27y^{3}isequalto$

One set of ordered pair which belongs to a straight line represented by an equation Y = 2 x- 1

I didn't understand the factorisation of a polynomial with 4 terms

If we draw a line, will it go around the earth? If so, then since the Earth is a sphere, is a line a circle?

If x=2+√3 , find x-1/x and x× x -1/x×x

State and prove the Angle Sum Property of a triangle .

The given figure shown a circle with centre O and $\angle$ ABP = ${42}^o$.

Calculate the measure of :

(i) $\angle$ PQB

(ii) $\angle$ QPB + $\angle$ PBQ

In the given figure O is the centre of circle. If ∠OAB = 30^o and ∠OCB = 40^o, then measure of ∠AOC is :

Polynomials having only three terms are called ________

A sum of money at a simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the sum?

If the vertex angle of an isosceles triangle is 3x and the base angles have a sum of 7x. What is the measure of base angle?

If x²-1 Is a factor of ax⁴+bx³+cx²+dx+e,then show that ,a+c+e=b+d=0 ?

Rahul invests Rs.32,000 in a bank, 7$\%$ p.a. simple interest. How much more should he invest at 10$\%$ p.a. to get 8$\%$ return on his total investment?

If the population of a town at present is $10648$ and the rate of increment is $10\%$ per year, then what was the population before $3$ years?

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If $\sqrt{2}=1.4$ and $\sqrt{3}=1.7$, find the value of:

$\left(i\right)\frac{1}{\sqrt{3}-\sqrt{2}}$

$\left(ii\right)\frac{1}{3+2\sqrt{2}}$

x^4 + 1/x^4 = 47 and x>0 then the value of (x^6 + 1)/x^3 is

(a)18. (b)20. (c)23 . (d)24

Tara while driving to school computes the average speed for her trip to be 20 km/h. On her return trip along the same route, there is less traffic and the average speed is 40 km/h. What is the average speed for Tara's trip?