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If the bisector of the exterior vertical angle of a triangle is parallel to the base, then it is

In what ratio is the line segment joining (-1, 3) and (4, -7) divided by the point (2, -3)?

Which of the following is an irrational number?

The value of tan 45 is

Find the number of proper subsets of A = {1,2,3,4,5,9,12,14}

The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is

If we join the points A and P, What will be the length of AP if BC = 2 cm.

The value of $52xyz(xy+yz+xz+y^2)(z+x)\times 104xy(xy+xz+yz+y^2)$ is:

Ravi takes 3 hours more than Abhishek to walk 30 km. But if Ravi doubles his pace, he is ahead of Abhishek by $1\frac{1}{2}$ hours. What was Ravi's original speed?

The adjacent angles of a parallelogram are in the ratio $4:5$, find measure of all angles of parallelogram?

From each end of a solid metal cylinder, metal was scooped out in hemispherical form of same diameter. The height of the cylinder is $10cm$ and its base is of radius $4.2cm$. The rest of the cylinder is melted and converted into a cylindrical wire of $1.4cm$ thickness. Find the length of the wire.

AD is a diameter of a circle and AB is chord. If AB = 24 cm, AD = 30 cm, the distance of AB from the centre of the circle is :

A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn. Show that : QA =QB.

Question 3
Complete the table of products:
$$\begin{array}{ccccccc}\text{First monomial}& 2x& -5y& 3x^2& -4xy& 7x^{2}y& -9x^2{y}^2\\ \text{second monomial}& & & & & & \\ 2x& 4x^2& --& --& --& --& --\\ -5y& --& --& -15x^{2}y& --& --& --\\ 3x^2& --& --& --& --& --& --\\ -4xy& --& --& --& --& --& --\\ 7x^{2}y& --& --& --& --& --& --\\ -9x^2{y}^2& --& --& --& --& --& --\end{array}$$

The value of $\frac{\sqrt{3}-1}{\sqrt{3}+1}+\frac{\sqrt{3}+1}{\sqrt{3}-1}$ is

$Ina\Delta ABC,\text{it is given that base = 12 cm and height = 5 cm. Its area is}\left(a\right)60c{m}^2\left(b\right)30c{m}^2\left(c\right)15\sqrt{3}c{m}^2\left(d\right)45c{m}^2$

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8:5, show that the radius and height of each has the ratio 3:4.

The base and height of a parallelogram are 4 cm and 6 cm respectively. Find the area of the parallelogram

$\Delta ABC$ is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5cm and AD $=\frac{3\sqrt{5}}{2}$ cm, then CE =??

If $(2x+5)$ is a factor of $2x^2-k$, then the value of $k$ is.

The class mark of class interval 60 - 70 will be

In figure A, B, and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 90${}^{\circ }$ and 110${}^{\circ }$ , respectively. Determine $\angle$ BAC.

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A plane left 30 minutes later than the scheduled time. In order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed.

Please explain me playfair's axiom.......and postulate 5 of Euclid proposed by him

Volume of a hexagonal prism whose base area is $40c{m}^2$ and height is 35 cm is .

How many such points exists that are at a distance k from point P, which are also on the locus of the line ax + by + c = 0.

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

The radius of a circular wheel is 42 cm. Find the distance travelled by it in:

(i) 1 revolution;

(ii) 50 revolutions;

(iii) 200 revolutions;

The distance travelled by a wheel in one revolution is equal to its circumference.

28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. What would be the smallest part?

The base of a right angled triangle with area 300 cm² and height 30 cm is

In triangle ABC, D and E are points on AB and AC such that DE || BC. If AD = 4x-3, AE = 8x-7, BD = 3x-1 and CE = 5x-3, find the value of x

In the equation y = 3x - 7; what is the value of x if y = 0?

10^x when divided by 13 remainder = -1. If x is a natural number less than 100 how many solutions are possible for x ?

When $\theta ={45}^{\circ },sin\theta +cos\theta =$ .

The value of $(0.05{)}_{\sqrt{20}}^{log}(0.1+0.01+0.001+.....)$

Find the value of a so that (x+1) are the factors of x⁴+ax³-3x²+2+2

Which of the following is a solution of the equation 4x + 3y = 16?

1. 120

Which of the following equations satisfies the values of x and y in the given table?

Find the area of metal sheet required in making a closed hollow cone of base radius 7 cm and height 24 cm.

Write the degrees of each of the following polynomials :

(i) $7x^3+4x^2$ - 3x + 12

(ii) 12 - x + $2x^3$

(iii) 5y - $\sqrt{2}$

(iv) 7

(v) 0

A high jump athlete recorded jumps of 2.2 m , 2.1 m , 2.05 m , 2.15 m and 2.25 m.

What was his average jump height?

Question 07.1.
Suppose 2 kg of sugar contains $9\times {10}^6$ crystals. How many sugar crystals are there in 5 kg of sugar?

Find the area of a parallelogram with base equal to 25 cm and the corresponding height measuring 16.8 cm.

If the height of a cylinder is doubled, by what number must the radius of its base be multiplied so that the resulting cylinder has the same volume as that of the original cylinder?

Which of the following is a measure of central tendency?

A cone, a hemisphere and a cylinder stand on equal bases and have the same height.
Show that their volumes are in the ratio $1:2:3$.

Find the value of m, if $(-10{)}^{m+1}$ × $(-10{)}^5$ = $(-10{)}^7$.