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Worked problems, method notes and exam strategy from the people who teach the classes.
Circles
Learn what secants and tangents are, prove that a tangent is perpendicular to the radius at the point of contact, count tangents from a point, and find tangent lengths with Pythagoras through worked examples.
Introduction to Trigonometry
Seventeen original Class 10 trigonometry questions with full solutions: ratios from sides, one ratio to all, standard-angle values, finding angles, identity proofs and true-or-false reasoning.
Introduction to Trigonometry
Prove the three Class 10 trigonometric identities from Pythagoras theorem, express every ratio in terms of one, and learn a step-by-step strategy for proving identities through six worked proofs.
Introduction to Trigonometry
Derive the exact trigonometric ratios of 0, 30, 45, 60 and 90 degrees from simple triangles, learn the full table with its not-defined entries, and use it to evaluate expressions and find unknown angles.
Introduction to Trigonometry
Learn what sine, cosine, tangent and their reciprocals mean in a right triangle, why they depend only on the angle, and how to find all six ratios when one is given, with six worked examples.
Coordinate Geometry
Seventeen original Class 10 coordinate geometry questions with full solutions on distance, collinearity, identifying shapes, the section formula, midpoints, ratios, trisection and the centroid.
Coordinate Geometry
Derive the section formula using similar triangles, then use it for midpoints, ratios in k to 1 form, division by an axis, points of trisection, the missing vertex of a parallelogram and the centroid.
Coordinate Geometry
Learn the distance formula from Pythagoras, then use it to test collinearity, classify triangles and quadrilaterals, find unknown coordinates and locate equidistant points, with six worked examples.
Arithmetic Progressions
Eighteen original Class 10 practice questions on arithmetic progressions, from spotting an AP to nth terms, sums and exam-level word problems, each with a complete step-by-step solution.
Arithmetic Progressions
See why the sum of an AP is n/2 times first plus last term, use both forms of the formula, find the number of terms from a sum, and recover the nth term from a formula for the sums.
Arithmetic Progressions
Derive the nth term formula of an AP and use it to find any term, decide whether a number is a term, build an AP from two terms, count from the end and solve savings and multiples problems.
Arithmetic Progressions
Learn what an arithmetic progression is: first term, common difference, the general form a, a + d, a + 2d, finite and infinite APs, and a sure method to test whether any list of numbers is an AP.
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