Sunday 24 July 2011

Preparation of Question Bank of classes IX & X for Term - I (September 2011)

The Guidelines, Syllabus, Blue Print, Design and Sample Question Papers are available at the links given below (Available in Examinations section of CBSE website):
Class IX
Subject
SQP
Syllabus
English Communicative
English Lang. & Lit.
Hindi - A
Hindi - B
Mathematics
Science
Social Science
Sanskrit
Class X

Subject
SQP
Syllabus
English Communicative
English Lang. & Lit.
Hindi - A
Hindi - B
Mathematics
Science
Social Science
Sanskrit

FOR SAMPLE PAPER CLICK ME

Class X New Marking scheme



New Marking scheme & Syllabus
First Term:

UnitsTopicsMarks
1. Number Systems
  • Real Numbers.
11
2. Algebra
  • Polynomials.
  • Pair of linear equations in two variables.
23
3. Geometry
  • Triangles.
17
4. Trigonomtery
  • Introduction to trigonomtery.
  • Trigonometric Identities.
22
5. Statistics and probability
  • Statistics.
17
Total90

Second Term:

UnitsTopicsMarks
1. Algebra (Contd.)
  • Quadratic Equations.
  • Arithmetic Progressions.
23
2. Geometry (Contd.)
  • Circles.
  • Constructions.
17
3. Trigonomtery (Contd.)
  • Heights and Distances.
08
4. Probability
  • Probabilty
08
5. Coordinate geometry
  • Lines(In two-dimensions)
11
6. Mensuration
  • Area related to circles.
  • Surface areas and volumes.
23
Total90

Click for test paper and sample paper

Saturday 23 July 2011

9th Maths COORDINATE GEOMETRY(Assignments)

Assignments 
1. Solve the equation 2x + 1 = x – 2 & represent the solution on :
The number line Cartesian plane
Q. 2. The linear equation that converts the Fahrenheit to Celsius is as follows :-
F=(9/5)c + 32
Draw the graph of the linear equation .
If the temperature is 950F , what is the temperature in Celsius .
Is there a temperature which is numerically the same in both Fahrenheit and Celsius ? If yes, find it.

Q. 3. Express the following information in the form of linear equation :
In a one day International cricket match between India & Srilanka played in Nagpur, two Indian batsman together scored 176 runs .
The cost of a notebook is twice the cost of a pen.


Q. 4. Find two solutions for each of the following equations :
4x + 3y = 12
2x + 5y = 0
px + y = 3

Q. 5. Express each of the following linear equation in the standard form & hence find the values of a, b & c in each case :
x-[y/5]-10=0
2x = -5y

Q. 6. Check which of the following are solutions of the equation x – 2y = 4.
  1. √2 ,4√2 
  2. (1,1) 
  3. (4,0) 
Q. 7. (a). How many solutions does the following linear equation & why ?
3x – y + 5 = 0

(b)Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.

Q. 8. (a). Given the point (1,2), find the equation of a line on which it lies. How many such equations are there ?

(b)Give an equation of two lines passing through (2,14). How many more Such lines are there & why ?

Q. 9. Draw the graph of each of the following linear equation in two variables :
3 = 2x + y
y = 3x

Q. 10. The taxi fare in the city is as follows : For the first kilometer, the are is Rs. 8 & for the subsequent distance it is Rs. 5 per km. Write a linear equation for this information & draw its graph .


Q.11. Write the quadrant in which each of the following points lie :

(i) (–3, –5) (ii) (2, –5) (iii) (–3, 5) Also, verify by locating them on

the Cartesian plane.

Q. 12 Solve the equation 3x + 2 = 2x – 2 and represent the solution on the Cartesian plane

Q. 13. The taxi fair in a city is as follows:

For the first kilometer, the fare is Rs 10 and for the subsequent distance it is Rs 6 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information and draw its graph. From the graph, find the fare for travelling a distance of 4 km

Q.14. Is (1, 8) the only solution of y = 3x + 5? Give reasons.

Q.15. Write the coordinates of a point on x-axis at a distance of 4 units from origin in the positive direction of x-axis and then justify your answer.

CBSE NCERT COORDINATE GEOMETRY for class 9

Plotting of points in the cartesian plane:
• In the Cartesian plane, the horizontal line is called the x-axis and the vertical line is called the y-axis,
• The coordinate axes divide the plane into four parts called quadrants,
• The point of intersection of the axes is called the origin,
• Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis,
• (x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y,
• Coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y),
• The coordinates of the origin are (0, 0),
• Sign of the coordinates of a point in the first quadrant are (+, +), in the second
quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –).
Write the correct answer in each of the following :
1. Point (–3, 5) lies in the
(A) first quadrant (B) second quadrant (C) third quadrant (D) fourth quadrant
2. Signs of the abscissa and ordinate of a point in the second quadrant are respectively
(A) +, + (B) –, – (C) –, + (D) +, –
3. Point (0, –7) lies
(A) on the x –axis (B) in the second quadrant (C) on the y-axis (D) in the fourth quadrant
4. Point (– 10, 0) lies
(A) on the negative direction of the x-axis  (B) on the negative direction of the y-axis
(C) in the third quadrant   (D) in the fourth quadrant
5. Abscissa of all the points on the x-axis is
(A) 0 (B) 1(C) 2 (D) any number
6. Ordinate of all points on the x-axis is
(A) 0 (B) 1 (C) – 1 (D) any number
7. The point at which the two coordinate axes meet is called the
(A) abscissa (B) ordinate (C) origin (D) quadrant
8. A point both of whose coordinates are negative will lie in
(A) I quadrant (B) II quadrant (C) III quadrant (D) IV quadrant
9. Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)
(A) lie in II quadrant (B) lie in III quadrant (C) lie in IV quadrant (D) do not lie in the same quadrant
10. If y coordinate of a point is zero, then this point always lies
(A) in I quadrant (B) in II quadrant (C) on x - axis (D) on y - axis
11. The points (–5, 2) and (2, – 5) lie in the
(A) same quadrant (B) II and III quadrants, respectively
(C) II and IV quadrants, respectively (D) IV and II quadrants, respectively
12. If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has 
(A) x coordinate = – 5 (B) y coordinate = 5 only
(C) y coordinate = – 5 only (D) y coordinate = 5 or –5
13. On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
(A) Square (B) Rectangle (C) Trapezium (D) Rhombus
14. If P (– 1, 1), Q (3, – 4), R(1, –1), S(–2, –3) and T (– 4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are (A) P and T (B) Q and R (C) Only S (D) P and R
15. If the coordinates of the two points are P (–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is  (A) – 5 (B) 1 (C) – 1 (D) – 2
16. If P (5, 1), Q (8, 0), R (0, 4), S (0, 5) and O (0, 0) are plotted on the graph paper, then the point(s) on the x-axis are  (A) P and R (B) R and S (C) Only Q (D) Q and O
17. Abscissa of a point is positive in  
(A) I and II quadrants (B) I and IV quadrants (C) I quadrant only (D) II quadrant only
Answers 1. (B) 2. (C) 3. (C) 4. (A) 5. (D) 6. (A) 7. (C) 8. (C) 9. (D) 10. (C)11. (C) 12. (D) 13. (B) 14. (B) 15. (B)  16. (D) 17. (B)
2 MARKS QUESTIONS
1. Points A (5, 3), B (– 2, 3) and D (5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
2. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
3. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find the coordinates of the point R such that PQRS is a square.
4. Plot the points A (1, – 1) and B (4, 5) 
(i) Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
(ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
ANSWERS 
1. C(–2, – 4)         2. (0, 0), (–5, 0), (0, –3)            3. (4, 3)          4. (i) (2, 1), (ii) (5, 7)