Question Banks Readily Available for the following Subjects. CBSE Class 12th standard subject for all groups in both tamil and english medium. Class 10th Standard all subjects. [ except tamil and english subjects ]. Buy both medium and prepare same set of question paper with single click. Our Database includes CBSE Class 10 and Class 12 subjects.

**REAL NUMBERS**

Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of 2, 3, 5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

644Downloads

**POLYNOMIALS**

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

**PAIR OF LINEAR EQUATIONS IN TWO VARIABLES**

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.

**QUADRATIC EQUATIONS**

Standard form of a quadratic equation ax^{2} + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots

Situational problems based on quadratic equations related to day to day activities to be incorporated.

**ARITHMETIC PROGRESSIONS**

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

322Downloads

**LINES (In two-dimensions)**

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

874Downloads

**TRIANGLES**

Definitions, examples, counter examples of similar triangles.

(Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

((Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar

(Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.

(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

(Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

(Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle.

**CIRCLES
Tangent to a circle at, point of contact**

(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

(Prove) The lengths of tangents drawn from an external point to a circle are equal.

Division of a line segment in a given ratio (internally).

Tangents to a circle from a point outside it.

Construction of a triangle similar to a given triangle.

368Downloads

**INTRODUCTION TO TRIGONOMETRY**

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0^{o} and 90^{o} . Values (with proofs) of the trigonometric ratios of 30^{o}, 45^{o}and 60^{o} . Relationships between the ratios.

**TRIGONOMETRIC IDENTITIES**

Proof and applications of the identity sin^{2} A + cos^{2} A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

**HEIGHTS AND DISTANCES:** Angle of elevation, Angle of Depression - Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30^{o} , 45^{o}, 60^{o} .

552Downloads

**AREAS RELATED TO CIRCLES**

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)

**SURFACE AREAS AND VOLUMES**

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone - Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).

506Downloads

**STATISTICS**

Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

**PROBABILITY**

Classical definition of probability. Simple problems on single events (not using set notation).

1196Downloads

Introduction-Euclid’s Division Lemma-The Fundamental Theorem of Arithmetic-Revisiting Irrational Numbers-Revisiting Rational Numbers and Their Decimal Expansions

552Downloads

Introduction-Geometrical Meaning of the Zeroes of a Polynomial-Relationship between Zeroes and Coefficients of a Polynomial-Division Algorithm for Polynomials

506Downloads

Introduction-Pair of Linear Equations in Two Variables-Graphical Method of Solution of a Pair of Linear Equations-Algebraic Methods of Solving a Pair of Linear Equations-Equations Reducible to a Pair of Linear Equations in Two Variables

1886Downloads

Introduction-Quadratic Equations-Solution of a Quadratic Equation by Factorisation-Solution of a Quadratic Equation by Completing the Square-Nature of Roots

874Downloads

Introduction-Arithmetic Progressions-nth Term of an AP-Sum of First n Terms of an AP

1058Downloads

Introduction-Similar Figures-Similarity of Triangles-Criteria for Similarity of Triangles-Areas of Similar Triangles-Pythagoras Theorem

414Downloads

Introduction-Trigonometric Ratios-Trigonometric Ratios of Some Specific Angles-Trigonometric Ratios of Complementary Angles-Trigonometric Identities

1288Downloads

Introduction-Division of a Line Segment-Construction of Tangents to a Circle

598Downloads

Introduction-Perimeter and Area of a Circle-A Review-Areas of Sector and Segment of a Circle-Areas of Combinations of Plane Figures

1104Downloads

Introduction-Surface Area of a Combination of Solids-Volume of a Combination of Solids-Conversion of Solid from One Shape to Another-Frustum of a Cone

1150Downloads