Monday, 6 October 2014

9th class Maths NCERT Solution and previous Question

Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.
2. Quadrilaterals                                                                            Quick Link
1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.
5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse.
3. Area Of Parallelogram                                                                Quick Link
1. (Prove) Parallelograms on the same base and between the same parallels have the same area.
2. (Motivate) Triangles on the same base and between the same parallels are equal in area and its converse.
4. Circles                                                                                           Quick link
Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle.
1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
3. (Motivate) There is one and only one circle passing through three given non-collinear points.
4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center(s) and conversely.
5. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
6. (Motivate) Angles in the same segment of a circle are equal.
7. (Motivate) If a line segment joining two points subtendes equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
8. (Motivate) The sum of the either pair of the opposite angles of a cyclic quadrilateral is 180 and its converse
5. Constructions                                                                              Quick link
1. Construction of bisectors of line segments & angles, 60, 90, 45 degree angles etc., equilateral triangles.
2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle.
3. Construction of a triangle of given perimeter and base angles.
6. Surface Areas and Volumes                                                     Quick link
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.
7. Statistics                                                                                     Quick link
Introduction to Statistics : Collection of data, presentation of data — tabular form, ungrouped or grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data.
8. Probability                                                                                  Quick link
History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real - life situations, and from examples used in the chapter on statistics).

Saturday, 30 August 2014

DAV and DPS Question Papers for class 9 and 10 SA-1 September 2014 - 2015

Click here to download latest DPS and DAV Sample Question paper

Class IX

9th English DAV SA-1 Question paper-1
9th English DPS SA-1 Question paper-2
9th Hindi DAV SA-1 Question paper-1
9th Hindi DPS SA-1 Question paper-2
9th Mathematics DAV SA-1 Question paper-1
9th Mathematics DPS SA-1 Question paper-2
9th Sanskrit DAV SA-1 Question paper
9th Science DAV SA-1 Question paper-1
9th Science DPS SA-1 Question paper-2
9th social science DAV SA-1 Question paper-1
9th social science DPS SA-1 Question paper-2
Class X     

10th English DAV SA-1 Question paper-1
10th English DPS SA-1 Question paper-2
10th Hindi DAV SA-1 Question paper-1
10th Hindi DPS SA-1 Question paper-2
10th Mathematics DAV SA-1 Question paper-1
10th Mathematics DPS SA-1 Question paper-2
10th Science DAV SA-1 Question paper-1
10th Science DPS SA-1 Question paper-2
10th Sanskrit DPS SA-1 Question paper-1
10th Sanskrit DPS SA-1 Question paper-2
10th Sanskrit DAV SA-1 Question paper-1
10th Sanskrit DPS SA-1 Question paper-2
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Thursday, 20 February 2014

PRACTICE QUESTIONS CLASS VIII: CHAPTER – 15_ INTRODUCTIONS TO GRAPH

QUESTIONS CLASS VIII  
PRACTICE CHAPTER – 15_ INTRODUCTIONS TO GRAPH
1. If y – coordinate of a point is zero, then this point always lies:
(a) I quadrant (b) II quadrant (c) x – axis (d) y – axis
2. If x – coordinate of a point is zero, then this point always lies:
(a) I quadrant (b) II quadrant (c) x – axis (d) y – axis
3. Point (–6, 4) lies in the quadrant:
(a) I (b) II (c) III (d) IV
4. The point (–4, –3) means:
(a) x = –4, y = –3 (b) x = –3, y = –4 (c) x = 4, y = 3 (d) None of these
5. Point (0, 4) lies on the:
(a) I quadrant (b) II quadrant (c) x – axis (d) y – axis
6. Point (5, 0) lies on the:
(a) I quadrant (b) II quadrant (c) x – axis (d) y – axis
7. On joining points (0, 0), (0, 2), (2,2) and (2, 0) we obtain a:
(a) Square (b) Rectangle (c) Rhombus (d) Parallelogram
8. Point (–2, 3) lies in the:
(a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant
9. Point (0, –2) lies:
(a) on the x-axis (b) in the II quadrant (c) on the y-axis (d) in the IV quadrant
10. Abscissa of the all the points on x – axis is:
(a) 0 (b) 1 (c) –1 (d) any number
11. Ordinate of the all the points on x – axis is:
(a) 0 (b) 1 (c) –1 (d) any number
12. Abscissa of the all the points on y – axis is:
(a) 0 (b) 1 (c) –1 (d) any number
13. Ordinate of the all the points on y – axis is:
(a) 0 (b) 1 (c) –1 (d) any number
14. The point whose ordinate is 4 and which lies on y – axis is:
(a) (4, 0) (b) (0, 4) (c) (1, 4) (d) (4, 2)
15. The perpendicular distance of the point P(3,4) from the y – axis is:
(a) 3 (b) 4 (c) 5 (d) 7
2 or 3 marks
11. Draw the graph of y = 3x. From the graph, find the value of y when (i) x = 4 and (ii) x =5.
12. Consider the relation between the perimeter and the side of a square, given by P = 4a. Draw a graph to show this relation. From the graph, find the value of P when (i) a = 4 and (ii) a =5.
13. Consider the relation between the area and the side of a square, given by      A = x2. Draw a graph to show this relation. From the graph, find the value of P when x = 4.
14. Simple interest on a certain sum is Rs. 40 per year then S = 40x, where x is the number of years. Draw a graph of this relation. From the graph, find the value of S when (i) x = 5 and (ii) x =6.
15. Plot the points (0, 2), (3, 0), (–3, 0) and (0, –2) in the graph sheet. Join these points. Name the figure obtained and find the area of the figure so obtained.
1.(c)
2.(d)
3. (b)
4. (a)
5. (d)
6. (c)
7. (a)
8. (b)
9. (c)
15. (a)
10. (a)
11.
12. (d)
13. (a)
14. (d)

Class 8 paper: click Here