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A chord is at a distance of 8 cm from the centre of a circle of radius 17 cm. The length of the chord is

(a) 25 cm

(b) 12.5 cm

(c) 30 cm

(d) 9 cm

If ${10}^{2y}=25,then{10}^{-y}$ equals

Is quadrilateral ABCD a ||gm?

I. Diagonals AC and BD bisect each other.

II. Diagonals AC and BD arc equal.

The correct answer is: (a)/(b)/(c)/(d).

The difference between two complementary angles is 40

Find the angles

The volume of a cuboid is $1536m^3$.Its length is $16m$, and its breadth and height are in the ratio $3:2$. Find the breadth and height of the cuboid.

The angle of a triangle are in the ratio 2 : 3 : 4. The largest angle of the triangle is

(a) ${120}^{\circ }$

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

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

(d) ${60}^{\circ }$

The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

The mid points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to

$In\Delta ABCand\Delta DEF,\text{it is given that AB = DE and BC = EF. In order that}\Delta ABC\cong \Delta DEF,\text{we must have}\left(a\right)\angle A=\angle D\left(b\right)\angle B=\angle E\left(c\right)\angle C=\angle F\left(d\right)\text{none of these}$

If two angles are complements of each other then each angle is

(a) an acute angle

(b) an obtuse angle

(c) a right angle

(d) a reflex angle

In the given equation 4x+ 3y - 7 = 0 find the value of x when y = -3

Express (5-3i)³ in the form a+ib.

The consecutive sides of a quadrilateral have

Find two irrational numbers lying between 0.1 and 0.12.

All surds are ____

ABCD is a quadrilateral such that $\angle$ABC+$\angle$ADC =${180}^{\circ }$ inside the quadrilateral.

Statement 1: the circumcircle of $\Delta$ABC intersects diagonal BD at D.

Statement 2: the circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$inside the quadrilateral.

Statement 3: the circumcircle of $\Delta$ABC intersects BD at $D^{{}^{\prime }}$ outside the quadrilateral.

Statement 4: the circumcircle of $\Delta$ABC does not intersect BD at all.

Statement 5: ABCD is called cyclic quadrilateral.

In figure, if $\angle OAB={40}^{\circ }$, then $\angle ACB$ is equal to ___.

Transversal is

A sum amounts to Rs. 882 in 2 years at 5% compound interest. The sum is

If a man has a ladder of 18 m and needs to reach the top of the wall of $9\sqrt{3}m$. What is the required angle between ladder and wall?

What is the volume of a right circular cylinder of base radius 14 cm and height 10 cm ?

If ABCD is a cyclic quadrilateral, what will be the value of $x$ (in degrees)?

If $\sum _{r=0}^{25}\{{}^{50}{C}_r\cdot {}^{50-r}{C}_{25-r}\}=K\left({}^{50}{C}_{25}\right)$ then $K$ is equal to :

ABC is a triangle such that $AB=10$ and $AC=3$. The side BC is:

Consider the given circle centred at O. Then, its circumference is
$(Take\pi as\frac{22}{7}$)

Let a regular polygon have x sides and let its central angle be y degrees, then which of the following statements is true?

If the radius of a sphere is tripled, what is the ratio of the volume of the original sphere to that of the second?

In the figure given above, the ratio $\frac{AreaofDPQC}{AreaofABCD}$ = ?

In a triangle and a parallelogram are on the same base and between the same parallels then the ratio of the area of the triangle to the area of the parallelogram is

(a) 1:2

(b) 1:3

(c) 1:4

(d) 3:4

If $x+\frac{1}{x}=\sqrt{5}$, find the values of $x^2+\frac{1}{x^2}and{x}^4+\frac{1}{x^4}$.

1. undefined
2. undefined
3. undefined
4. undefined

If $\frac{\sqrt{3}-1}{\sqrt{3}+1}=x+y\sqrt{3}$, find the value of x and y.

Find the measure of all the angles of a parallelogram , if one angle is ${24}^{\circ }$ less than twice the smallest angle.

Two chords $AB,$ $CD$ of lengths $5cm$ and $11cm$ respectively of a circle are parallel. If the distance between $AB$ and $CD$ is $3cm,$ find the radius of the circle.

Dome of the enemy's fort is in shape of right cone which has slant height 13 m and height of 12 m as observed by the hero through the telescope.Hero comes to know that the dome is filled with gold. If the cost of gold is (30/π) lakhs per cubic meter. Find the total value of gold in the dome of the enemy's fort .(Take $\pi$= $\frac{22}{7}$)

If a + b = 8 and ab = 6, find the value of $a^3+b^3$.

In the given figure, what is the value of x?

Find the value of a for which (x + 1) is a factor of $(a{x}^3+x^2-2x+4a-9)$.

If $4^x$ = 64, then find $x,2^{x}and{3}^x$

How are triangles and circles are connected?

The length of two sides of a triangle are 6m and 4m. If the sum of length of all sides of the triangle is 16 m. Can you find the length of third side and what type of triangle it is.

The area of parallelogram ABCD is:

1. 3

Express 1/7 in recurring decimal form and hence write 38/7 in recurring decimal form.

If $\frac{1}{5}:\frac{1}{x}=\frac{1}{x}:\frac{1}{1.25}$, then the value of x is

A water storage tank has a cylindrical shape. If it is 2.1 m high and has a diameter 1.4 m, its lateral surface area is

Divide polynomial $x^4+4x^3+6x^2+4x+5$ by $x^2+1$ and find the quotient.

In $\Delta$ triangle ABC, D and E are the midpoints of side AB and AC. State which of the following are correct option(s).