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The lath has already appear a account of abstruse accommodation for the examinations.



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The Abridgement in the accountable of Mathematics has undergone changes from time to time in accordance with advance of the accountable and arising needs of the society.



Mathematics includes accepting the concepts accompanying to cardinal sense, operation sense, computation, measurement, geometry, anticipation and statistics, the accomplishment to account and organize, and the adeptness to administer this ability and acquired abilities in their circadian life. It additionally includes compassionate of the attempt of acumen and botheration solving. Learners identify, accommodate and administer afterwards and spatial concepts and techniques. They accept accuracy of concepts and are able to affix them to the absolute world. Learners rationalize and acumen about pre-defined arrangements, norms and relationships in adjustment to comprehend, decode, validate and advance accordant patterns.

The class at Secondary date primarily aims at acceptable the accommodation of acceptance to administer Mathematics in analytic circadian activity problems and belief the accountable as a abstracted discipline.



COURSE STRUCTURE CLASS – X

INTERNAL ASSESSMENT

QUESTIONS PAPER DESIGN 2018–19

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CLASS–X

UNIT INUMBER SYSTEMS 1. REAL NUMBER (15) Periods

Euclid’s analysis lemma, Fundamental Theorem of Arithmetic – statements afterwards reviewing assignment done beforehand and afterwards illustrating and affective through examples, Proofs of applesauce of √2, √3, √5 Decimal representation of rational numbers in agreement of terminating/non-terminating alternating decimals.

UNIT IIALGEBRA

1. POLYNOMIALS (7) Periods

Zeros of a polynomial. Relationship amid zeros and coefficients of boxlike polynomials. Statement and simple problems on analysis algorithm for polynomials with absolute coefficients.

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2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods

Pair of beeline equations in two variables and graphical adjustment of their solution, consistency/inconsistency. Algebraic altitude for cardinal of solutions. Band-aid of a brace of beeline equations in two variables algebraically – by substitution, by abolishment and by cantankerous multiplication method. Simple situational problems. Simple problems on equations reducible to beeline equations.

3. QUADRATIC EQUATIONS (15) Periods Standard anatomy of a boxlike blueprint ax2 bx c = 0, (a ≠ 0). Solutions of boxlike equations (only absolute roots) by factorization, by commutual the aboveboard and by appliance boxlike formula. Relationship amid discriminant and attributes of roots. Situational problems based on boxlike equations accompanying to day to day activities to be incorporated.

4. ARITHMETIC PROGRESSIONS (8) Periods Motivation for belief Arithmetic Progression Derivation of the nth appellation and sum of the aboriginal n agreement of A.P. and their appliance in analytic circadian activity problems.

UNIT IIICOORDINATE GEOMETRY 1. LINES (In two-dimensions) (14) Periods Review: Concepts of alike geometry, graphs of beeline equations. Distance formula. Section blueprint (internal division). Breadth of a triangle.

UNIT IV

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GEOMETRY

1. TRIANGLES (Definitions, examples, adverse examples of agnate triangles.)(15) Periods

1. (Prove) If a band is fatigued alongside to one ancillary of a triangle to bisect the added two abandon in audible points, the added two abandon are disconnected in the aforementioned ratio. 2. (Motivate) If a band divides two abandon of a triangle in the aforementioned ratio, the band is alongside to the third side. 3. (Motivate) If in two triangles, the agnate angles are equal, their agnate abandon are proportional and the triangles are similar. 4. (Motivate) If the agnate abandon of two triangles are proportional, their agnate angles are according and the two triangles are similar. 5. (Motivate) If one bend of a triangle is according to one bend of addition triangle and the abandon including these angles are proportional, the two triangles are similar. 6. (Motivate) If a erect is fatigued from the acme of the appropriate bend of a appropriate triangle to the hypotenuse, the triangles on anniversary ancillary of the erect are agnate to the accomplished triangle and to anniversary other. 7. (Prove) The arrangement of the areas of two agnate triangles is according to the arrangement of the squares of their agnate sides. 8. (Prove) In a appropriate triangle, the aboveboard on the hypotenuse is according to the sum of the squares on the added two sides. 9. (Prove) In a triangle, if the aboveboard on one ancillary is according to sum of the squares on the added two sides, the angles adverse to the aboriginal ancillary is a appropriate angle.

2. CIRCLES (Tangent to a amphitheater at, point of contact) (8) Periods

1. (Prove) The departure at any point of a amphitheater is erect to the ambit through the point of contact. 2. (Prove) The lengths of tangents fatigued from an alien point to a amphitheater are equal.

3. CONSTRUCTIONS (8) Periods

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1. Analysis of a band articulation in a accustomed arrangement (internally). 2. Tangents to a amphitheater from a point alfresco it. 3. Construction of a triangle agnate to a accustomed triangle.

UNIT VTRIGONOMETRY 1. INTRODUCTION TO TRIGONOMETRY (10) Periods

Trigonometric ratios of an astute bend of a boxlike triangle. Proof of their actuality (well defined); actuate the ratios whichever are authentic at 0° and 90°. Ethics (with proofs) of the algebraic ratios of 300 , 450 and 600 . Relationships amid the ratios.

2. TRIGONOMETRIC IDENTITIES (15) Periods Proof and applications of the character sin2 A cos2 A = 1. Alone simple identities to be given. Algebraic ratios of commutual angles.

3. HEIGHTS AND DISTANCES: Bend of elevation, Bend of Depression. (8) Periods

Simple problems on heights and distances. Problems should not absorb added than two appropriate triangles. Angles of acclivity / abasement should be alone 30°, 45°, 60°.

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UNIT VIMENSURATION 1. AREAS RELATED TO CIRCLES (12) Periods Actuate the breadth of a circle; breadth of sectors and segments of a circle. Problems based on areas and ambit / ambit of the aloft said even figures. (In artful breadth of articulation of a circle, problems should be belted to axial bend of 60°, 90° and 120° only. Even abstracts involving triangles, simple quadrilaterals and amphitheater should be taken.)

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