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In the figure, if l||m, n || p and $\angle 1={85}^0$ find $\angle 2$.

A man borrows rupees 6000 at 5% compound interest if he repays rupees 1200 at the end of each year find the amount outstanding at the beginning of the third year

Define the following terms:

(i) Angle

(ii) Interior of an angle

(iii) Obtuse angle

(iv) Reflex angle

(v) Complemenbory angles

(vi) Supplementary angles

The volume of a cube is 8a cubic units. If three such identical cubes are stacked, what is the total surface area of the cuboid formed?

Expand the following indentity (2x+1)³ ?

A circular disc of radius 6 cm is divided into three sectors with central angles 120^o, 150^o and 90^o. The ratio of the arc of the three sectors is

If $x,y$ are two positive numbers such that $x-y=10$ and square of the greater exceeds twice the square of the smaller by maximum value, then which of the following is/are true

Is the length of perpendicular bisector of a line segment, finite or infinite?

The probability of an impossible even is

The probability of selecting a vowel from the word CHOCOLATE is .

A sports complex has an entrance, indoor stadium, gym and swimming pool with the paths connecting them as shown above. In how many ways can a person go from entrance to swimming pool?

AB and AC are two chords of a circle of radius $r$ such that $AB=2AC$. If $p$ and $q$ are the distances of $AB$ and $AC$ from the centre then prove that $4q^2=3r^2+p^2$

If the mean and coefficient of variation of a data are $15$ and $48$ respectively, then the value of standard deviation is

1. 7

Unit of measurement for area of any plane figure is taken as

The polynomial $p\left(x\right)=x^4-2x^3+3x^2-ax+b$ when divided by (x-1) and (x +1) leaves the remainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder when p(x) is divided by (x -2).

If the ratio of angles (taken in order) of a quadrilateral is 1:2:3:4, then it could be a

The picture below is of a water trough:-

The front and back faces are identical isosceles trapeziums. How many litres of water can it hold?

Jack has a toy in which half of the cylindrical shape is surmounted on a cuboid as shown in the figure below.



Total volume of the given solid is

Evaluate $\int \left(\right(3x+2\left)\sqrt{x^2+3x+2}\right)dx$

(where $C$ is constant of integration)

If the radius of a cylinder is doubled and the height remains same, the volume will be

(a) doubled (b) halved

(c) same (d) four times

The radius and height of a right circular cone are in the ratio $1:2$. If its volume is $144\pi {cm}^3$, find its slant height.

Question 1 (ii)
Find the volume of the right circular cone with:
(ii) radius 3.5 cm, height 12 cm
$[Assume\pi =\frac{22}{7}]$

X = -5 can this be expressed as a linear equation in two variables?

True

False

Which one of the following numbers is a non-terminating and repeating decimal?

A circle of area 154$m^2$ is circumscribing the equilateral triangle of side 7 m. Find the difference in area of the two geometrical figures.

If $x-y=5$ and $xy=84,$ then find the value of $x^3-y^3$