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In the figure, ABCD is a parallelogram, AB and BC are equal to 15 cm and 6 cm respectively. If DF = 4 cm, what is the value of BE?

Draw a triangle of perimeter 13 centimetres and lengths of sides in the ratio 2 : 3 : 4.

Factories:

1. a⁹-b⁹

2. x³-3x²+3x+7

Varun travelled $\frac{1}{8}$​th of the journey which is equal to $56km$ on a scooter . What is the remaining distance he has to cover?

In similar triangles,
1. The corresponding angles are equal.
2. The corresponding sides are always equal.
3. The corresponding sides are always proportional.

In a quadrilateral $ABCD,AO$ and $BO$ are the bisectors of $\angle Aand\angle B$ respectively, $\angle C={70}^{\circ }and\angle D={30}^{\circ }$. Then, $\angle AOB=$ ?

(a) ${40}^{\circ }$

(b) ${50}^{\circ }$

(c) ${80}^{\circ }$

(d) ${100}^{\circ }$

The volume of a cylinder is $150\pi c{m}^3$ and its height is $6cm.$ Find the area of its total surface and lateral surface.

Question 5: Draw a rough figure and label suitably in the following case:

(a) $\overleftrightarrow{XY}$ and $\overleftrightarrow{PQ}$ intersect at M

Question 85 (xi)

Expand the following, using suitable identities.

$(\frac{2a}{3}+\frac{b}{3})(\frac{2a}{3}-\frac{b}{3})$

D, E, F are respectively the mid points of the sides BC, CA, AB of triangle ABC. Then CEFD is definitely a parallelogram.

$\text{In the given figure, if x = y and AB = CB then prove that AE = CD.}$

The number of coins of $1.5cm$ in diameter and $0.2cm$ thick, to be melted to form a right circular cylinder of height $10cm$ of diameter $4.5cm$ is

(a) $540$ (b) $450$ (c) $380$ (d) $472$

In a parallelogram ABCD, the bisectors of $\angle A$ also bisect BC at x, find AB : AD.

The sides of a triangle are $120m,170m,250m.$ Find its area and height of the triangle if the base is $250m.$

Is 0.275 a whole number?

If the ratio of exterior angle to the interior angle of a polygon is 2:5, then the number of sides of the polygon is

To construct a rhombus given the measure of its two diagonals, which property of the rhombus do we use?

How many digits are there in the repeating block of digits in the decimal expansion of $\frac{17}{7}$

(a) 16

(b) 6

(c) 26

(d) 7

The cost of painting outer curved surface of a hollow hemispherical iron bowl at the rate of ₹ 2 per cm square is ₹ 1256. If the thickness of the iron is 1 cm, find the cost of painting the inner curved surface of the bowl. (Take $\pi$ = 3.14)

In the adjoining figure, OD is perpendicular to the chord AB of a circle whose centre is O. If BC is a diameter, then which of the following are true?

The measure of two adjacent angles of a parallelogram in the ratio of $3:2$ find the measure of each angel.

If $\frac{a}{3}=\frac{b}{2}$ then find the value of the ratio
$\frac{5a+3b}{7a-2b}$.

Write the fractional form of decimal number 0.74.

The $\frac{p}{q}$ form of $0.\overline{18}$ is (where p and q are integers and $q\ne 0$) .

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If angle DBC = 45^o and angle BAC = 30^o, the measure of angle BCD is

The variables x and y vary inversely, and y = 8 when x = 3. Find the equation of inverse variation between x and y.

If four times an angle ${12}^0$ more than twice the difference between its supplement and its complement, then find the angle.

Factorise:
$x^2-32x-105$

Simplify $\sqrt{128}$.

What value of $x$ makes the equation $4abc+\frac{1}{3}abc+x$+$\frac{2}{3}abc$=0 true ?

If the line represented by the equation $3x+4y+c=0$ passes through the origin, then $c$ =.