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What is the difference between an axiom and a postulate?

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are about 5 streets in each direction. Using 1 cm = 100 m, draw a model of the city on your notebook Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2^nd street running in the North-South direction and 5^th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) How many cross - streets can be referred to as (4, 3).

(ii) How many cross - streets can be referred to as (3, 4).

Equation of chord AB of circle $x^2+y^2=2$ passing through P(2, 2) such that $\frac{PB}{PA}=3$, is given by

Which of the following is/are true?

A jar contains 24 marbles of which some are green and others are blue. If a marble is drawn randomly from the jar, the probability that it is green is $\frac{2}{3}$. Find the probability of taking blue marbles from the jar.

The perimeter of an equilateral triangle is 36 cm. The area of the triangle is equal to

If 2 is a zero of the polynomial $p\left(x\right)=x^3-a{x}^2+bx+c,$ then which of the following equations is true?

Rationalize the denominator of $\frac{4}{2+\surd 3+\surd 7}$

1. 12

Two angels of a traiangel are equal and the third angle is grater than each one of them by ${18}^{\circ }$.Find the angles.

Question 60

In the given figure?

a) is AC + CB = AB?

b) is AB + AC = CB?

c) is AB + BC = CA?

Question 2

In the figure given below,

$\Delta ODC\sim \Delta OBA,\angle BOC={125}^{\circ }and\angle CDO={70}^{\circ }$

$Find\angle DOC,\angle DCOand\angle OAB$.

Two edges of a rectangular sheet of paper having dimensions 14m $\times$ 7m are held together so that it forms a cylinder. Find the curved surface area of the cylinder.

Factories:

x - y - x^{​​​​​​2}+ y^{​​​​​​2}

The Cartesian equation of the line passing through the points (a, b, c) and (a', b', c') is:

In the following figure, AD=??

AB is a line segment and P is its mid-point. D and E are points on the same side of

AB such that $\angle BAD=\angle ABE$ and $\angle EPA=\angle DPB$ (See the given figure).





Then, which of the following is true?

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials :

(i) $x+x^2$ + 4

(ii) 3x - 2

(iii) 2x + $x^2$

(iv) 3y

(v) $t^2$ + 1

(vi) $7t^4+4t^3$ + 3t - 2

Write the algebraic expression for:

(i) The area of a reactangle if its length (l) is increased by 5 and breadth (b) is reduced by 3.

(ii) Volume of a cubiod if its length (l) is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2.

How does half of this chocolate look like? Tap on the correct image.

Question 100

Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. What is the probability that it is a non-defective bulb?

In the given figure, AC, CE, EG, AG, BH, HF, FD and BD are line segments. The value of $(\angle A+\angle B+\angle C+\angle D+\angle E+\angle F+\angle G+\angle H)$ is