CLASS 9 / MATHS / LINES AND ANGLES / concept map + points to remember

CONCEPT MAP

POINTS TO REMEMBER

1. If a ray stands on a line, then the sum of the two adjacent angles so formed is 180° and vice-

versa. This property is called as the Linear pair axiom.

2. If two lines intersect each other, then the vertically opposite angles are equal.

3. If a transversal intersects two parallel lines, then

(i) each pair of corresponding angles is equal,

(ii) each pair of alternate interior angles is equal,

(iii) each pair of interior angles on the same side of the transversal is supplementary.

4. If a transversal intersects two lines such that, either

(i) any one pair of corresponding angles is equal, or

(ii) any one pair of alternate interior angles is equal, or

(iii) any one pair of interior angles on the same side of the transversal is supplementary,

then the lines are parallel.

5. Lines which are parallel to a given line are parallel to each other.

6. The sum of the three angles of a triangle is 180°.

7. If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two

interior opposite angles.

CLASS 10 / MATHS / CONSTRUCTION / exemplar problems

FOLLOW THE GIVEN LINK


http://ncert.nic.in/ncerts/l/jeep210.pdf

CLASS 9 / MATHS / EUCLID'S GEOMETRY / points to remember

chapter -5, euclid’s geometry

Important points:

1.   Axioms or postulates are the assumptions which are obvious universal truths. They are not proved.

2.   Theorems are statements which are proved, using definitions, axioms, previously proved statements and deductive reasoning.

3.   Some of Euclid’s axioms were:

(i) Things which are equal to the same thing are equal to  one another.

(ii) If equals are added to equals, the wholes are equal.

(iii) If equals are subtracted from equals, the remainders are equal.

(iv) Things which coincide with one another are equal to one another

(v) The whole is greater than the part.

(vi) Things which are double of the same things are equal to one another

(vii) Things which are halves of the same things are equal to one another

4.   Euclid’s postulates were:

Postulate 1:

 A straight line may be drawn from any one point to any other point.

Postulate 2:

 A terminated line can be produced indefinitely

Postulate 3:

 A circle can be drawn with any centre and any radius.

Postulate 4:

          All right angles are equal to one another

Postulate  5 :

 If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

5.   Two equivalent versions of Euclid’s fifth postulate are:

(i)‘For  every  line  ‘l’ and  for  every  point  P  not  lying  on  ‘l’,  there exists  a  unique  line  m passing through P and parallel to ‘l’.

(ii) Two distinct intersecting lines cannot be parallel to the same line

CLASS 10 / PHYSICS / ELECTRICITY / worksheet 3

/ REVISION WORKSHEET / ELECTRICITY/ WORKSHEET 3


FOLLOW THE GIVEN LINK


https://prigupta.blogspot.com/2018/04/class-10-physics-revision-work.html

CLASS 9 / MATHS / COORDINATE GEOMETRY / points to remember

class -9
chapter - 3
coordinate geometry

conept-map

Points to remember –

1.     If we take two number lines, one horizontal and one vertical, and then combine them in such a way that they intersect each other at their zeroes, and then they form a Cartesian Plane.

2.     The horizontal line is known as the x-axis 

3.     the vertical line is known as the y-axis.

4.     The point where these two lines intersects each other is called the origin. It is represented as ‘O’.

5.     The Origin has zero distance from both x-axis and y-axis so that its abscissa and ordinate both are zero. So the coordinate of the origin is (0, 0)

6.     A point on the x - axis has zero distance from x-axis so coordinate of any point on the x - axis will be (x, 0)

7.     A point on the y - axis has zero distance from y-axis so coordinate of any point on the y - axis will be (0, y)

8.     The Cartesian plane is dividing into four quadrants named as Quadrant I, II, III, and IV

9.     The x-coordinate and y - coordinate of the point in the plane is written as (x, y) for point and is called the coordinates of the point

10.The x - coordinate is also called the Abscissa.

11.The y - coordinate is also called the Ordinate.

12.The positions of both the points are different in the Cartesian plane

i.e  If x ≠ y, then (x, y) ≠ (y, x), and (x, y) = (y, x), if x = y.

13.The coordinates of the points in the four quadrants will have sign according to the below table

CLASS 10 / PHYSICS / ELECTRICITY / worksheet -2

follow the given link for worksheet



https://prigupta.blogspot.com/2019/04/class-10-electricity-worksheet-1.html

CLASS 8 / MATHS / PLAYING WITH NUMBERS / worksheet

Class – VIII

SUBJECT – MATHS

Worksheet on playing with numbers

CLASS 9 / PHYSICS / MOTION / worksheet 1

CLASS -9

Chapter- MOTION

PHYSICS

WORKSHEET - 1

Multiple Choice Questions

1. A particle is moving in a circular path of radius r. The displacement after

half a circle would be:

(a) Zero

(b) π r

(c) 2 r

(d) 2π r

2. The numerical ratio of displacement to distance for a moving object is

(a) always less than 1

(b) always equal to 1

(c) always more than 1

(d) equal or less than 1

3. Which of the following figures (Fig. 8.3) represents uniform motion of a

moving object correctly?

4. In which of the following cases of motions, the distance moved and the

magnitude of displacement are equal?

(a) If the car is moving on straight road

(b) If the car is moving in circular path

(c) The pendulum is moving to and fro

(d) The earth is revolving around the Sun

5.  Unit of acceleration is

A  m/s

B) ms

C) m/s²

D) none of these

6) A body goes from A to B with a velocity of 20 m/s and comes back B to A with a velocity of 30 m/s. The average velocity of the body during the whole journey is

A) zero

B) 24 m/s

C) 25 m/s

D) none of these

7.  The rate of change of displacement with time is

A) Speed

B) acceleration

C) Retardation

D) velocity

8. SI unit for the average velocity is

A) m/s

B) km/s

C) cm/s

D) none of these

9. Unit for the rate of change of velocity is

A) m/s

B)m/s2

C) N s

D) N / s

10.  A cylist moves from a certain point X and goes round a circle radius, r and reaches Y, exactly at the other side of the point X, as shown in the given figure.  (i) The displacement of the cylist would be

A) πr

B) 2πr

C) 2r

D) 2π/r

Solve the following 

1.  An object cover a distance of 8 km in 2 minutes. Calculate the speed in:

(a)  m/s

(b) Km/h.

2.  Object A travelled a distance of 80 km in 4 hours and Object B travelled a distance of 100 km in 10 hours. Which object traveled faster?

3.  Arrange the following speeds in increasing order-

(a) Car moving with speed of 72 km/h

(b)  A kite moving with speed of 10 m/s

(c)  A train moving with speed of 1200 m/min

4.  What is the displacement travelled by a car if it takes 30 minutes for a journey with velocity 20 m/s.

5.  If a man walks at a speed of 2 km/h and walk a distance of 200 meters. How much time he will take to complete his walk?

6.  A bus decreases its velocity from 80 km/h to 60 km/h in 5 s. find the acceleration of the body.

7.  A train starting from a railway station and moving with uniform acceleration attains a speed 40 km/h in 10 minutes. Find its acceleration.

8.  A motor boat starting from rest on a lake accelerates in straight line at a constant rate of 3.00 m/s² for 8.0 s. how far does the boat travel during this time?

9.  A ball is gently dropped from a height of 20 m. if its velocity increases uniformly at a constant rate of 10 m/s^{2, .}With what velocity will it strike the ground? After what time will it strike the ground?

10.  A bus starting from rest moves with a uniform acceleration of 0.1 m/s² for 2 minutes. Find

(a) The speed acquired.

(b) The distance traveled.

CLASS 10 / MATHS / STATISTICS/ 2019-20 board questions

BOARD QUESTIONS 2019-2020

(STATISTICS)

1 MARK

1.  For the following frequency distribution:

Class	0-5	5-10	10-15	15-20	20-25
frequency	8	10	19	25	8

The upper limit of median class is

(a)          15            (b) 10             (c) 20              (d) 25

2.  In the formula,

   ,U_i = ___________.

2 MARK

3.  Find the mode of the distribution:

Age (in yrs)	0-10	10-20	20-30	30-40	40-50	50-60
No of person	4	6	7	12	5	6

4.  Find the mean for the following distribution:

Class	5-15	15-25	25-35	35-45
frequency	2	4	3	2

5.  Find the mode of the distribution:

Class	200-400	400-600	600-800	800-1000	1000-1200
frequency	21	25	19	23	12

4 MARK

6.  Draw a ‘less than’ ogive for the following frequency distribution:

Classes	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
frequency	7	14	13	12	20	11	15	8

7.  Draw a ‘less than’ ogive for the following frequency distribution and hence find the median:

Age (in yrs)	0-10	10-20	20-30	30-40	40-50	50-60	60-70
No of person	5	15	20	25	15	11	9

8.  Find the mean and median for the following frequency distribution:

No of wickets	20-60	60-100	100-140	140-180	180-220	220-260
No of bowlers	7	5	16	12	2	3