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A boy types 180 words in 2 minutes. How many minutes would he take to type 900 words ?

‘-p’ and ‘q’ are the zeroes of the polynomial
$x^2–bx+c$.
The zeroes of the polynomial $x^2–bxy+c{y}^2$are

Insert a rational number between the following

1. 3.413 and 4.314

2. 4.13692 and 4.4568

Box A contains 25 slips of which 19 marked Rs 1 and other are marked Rs 5 each. Box B contains 50 slips of which 45 marked Rs 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and reshuffled. A slip is drawn at random. What is the probability that it is marked other than Rs 1?

In figure, PQ||RS ∠QPO = 70^o ∠ROT = 20^o. Find the value of x.

For all sets A and B, A - $(A\cap B)$ is equal to _____

Solve

41x + 53y = 135

53x + 41y = 147

In $\Delta ABCand\Delta DEF$, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B, and C are joined to vertices D, E and F respectively ( see the given figure). Then, quadrilateral ACFD:

The set of all values of x satisfying $x^{lo{g}_x(1-x{)}^2}=9$ is

In the given figure, radius of the circle is $5cm$ and perpendicular distance from the centre of the circle to the chord, $AC$ is $3cm$.

Find the length of the chord, $AC$.

Which of the following is an irrational number?

The value of 1 - 2 + 3 - 4 + 5 - 6 +........... + 19 - 20 is __________.

Two concentric circles of radii a and b (a > b) are given. Find the length of the chord of the larger circle which touches the smaller circle.

Which of the following pairs of sets is disjoint?

In the given figure, AB||CD then the value of x is

In Fig. T is a point on side QR of △PQR and S is a point such that RT = ST. Prove that PQ + PR > QS

What is polynomial

How to find irrational number better 5 and 6 with full explanation

State which statement is/are true of the following figure.

At what rate per cent per annum will Rs. 6,000 amount to Rs. 6,615 in 2 years when interest is compounded annually ?

If two equilateral triangles are drawn such that they have a common side, then the quadrilateral formed is a __

If I is the incentre of triangle ABC and AI when produced meets the circumcircle of triangle ABC in point D.

If $\angle BAC={66}^{\circ }$ and $\angle ABC={80}^{\circ }.$

Calculate:

(i) $\angle DBC$ (ii) $\angle IBC,$ (iii) $\angle BIC.$

If a=9-4root5,then find the value of (a-1/a)

Total number of students in 4 different schools and percentage of students participating in Dance and play in 4 different classes:
Q. Student participating in Dance from Class VII is what percent of student participating in play from class IX?

The altitude of a triangular field is one-third of its base. If the cost of sowing the field at Rs.58 per hectare is Rs.783 then find its altutude

If a triangle, with one of its side 7 cm, is enlarged by a scale factor of 4, then find the length of the corresponding side in the new triangle.

1. 25

Find the value of $x$ in the following equation using theorems on equal ratio.

$\frac{14x^2-6x+8}{10x^2+4x+7}=\frac{7x-3}{5x+2}$

If f(x+2y, x-2y)=xy, then f(x, y) equals

$\text{A matchbox measures}4cm\times 2.5cm,\text{What is the volume of a packet containig 12 such matchboxes?}$

Rewrite each of the following polynomials in standard form.
(i) $x-2x^2+8+5x^3$
(ii) $\frac{2}{3}+4y^2-3y+2y^3$
(iii) $6x^3+2x-x^5-3x^2$
(iv) $2+t-3t^3+t^4-t^2$

Find out the appropriate word which fits the 6th blank.

What is the value 8³ - 3³ (without solving the cubes)?

The area of a circle with diameter 6 m exceeds the combined areas of circles with diameters 4m and 2 m by

Draw a circle with centre at point $O$ and radius $5cm$. Draw its chord $AB$, draw the perpendicular bisector of line segment $AB$. Does it pass through the centre of the circle ?

In an isosceles triangle one side is $12cm$ (other than the equal sides) and its perimeter is $26cm$. Find the area of the triangle.

The figure formed by joining the mid-points of the adjacent sides of a rhombus is a

Choose the correct answer in each of the following :

The radii of the bases of a cylinder and a cone are in the ratio 3:4 and their height are in the ratio 2:3 . Then their volumes are in the ratio

(a) 9:8 (b) 8:9 (c) 3:4 (d) 4:3

Find the total number of possible square matrix A of the order 3 with all real entries, whose adjoint matrix B has characterstics polynomial equation as x³ - x² + x +1 = 0

$If{x}^2+\frac{1}{x^2}=102,thenx-\frac{1}{x}=$

In the figure, if $l_1||l_2$ and $l_3||l_4$ what is y in terms of x ?

Prove that every cyclic parallelogram is a rectangle.

Insert a rational and irrational number between 2 and 2.5