Polynomials
Zeroes of a Polynomial and Their Graphs: Class 10 Maths
Learn what the zeroes of a polynomial mean on a graph: degree, linear, quadratic and cubic polynomials, and how to count zeroes from where the graph meets the x-axis.
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Mathematics
Worked problems, method notes and exam strategy from the people who teach the classes.
Polynomials
Some Applications of Trigonometry
Angle of Depression Problems with Two Buildings, Class 10
Use alternate angles to turn an angle of depression into an angle of elevation, then find the height of a building, the width of a river and the distance between two cars seen from a height.
Some Applications of Trigonometry
Heights and Distances: Problems with Two Angles of Elevation
Solve heights and distances problems with two angles of elevation: a flagstaff on a building, a shadow that lengthens as the sun sinks, an observer walking towards a tower and a statue on a pedestal.
Some Applications of Trigonometry
NCERT Class 10 Exercise 9.1 Solutions: Heights and Distances
Worked solutions to all 15 questions of NCERT Class 10 Exercise 9.1 on heights and distances, with exact surd answers, decimal checks and scale drawings of the elevation and depression problems.
Some Applications of Trigonometry
Angle of Elevation and Depression: Class 10 Maths Guide
Learn what the line of sight, angle of elevation and angle of depression mean, why the last two are equal, and how one right triangle and one angle give the height of a tower, a ladder, a chimney or a kite.
Triangles
NCERT Class 10 Exercise 6.3 Solutions: Similar Triangles
Step-by-step solutions to all 16 questions of NCERT Class 10 Exercise 6.3, using the AA, SSS and SAS criteria on medians, altitudes, bisectors, a trapezium, a parallelogram and a shadow problem.
Triangles
Similarity Criteria of Triangles: AA, SSS and SAS Explained
The AA, SSS and SAS similarity criteria for triangles with proofs from the Basic Proportionality Theorem, the RHS note, and worked examples including the classic lamp-post shadow problem.
Triangles
NCERT Class 10 Exercise 6.2 Solutions: BPT and Its Converse
Step-by-step solutions to every question of NCERT Class 10 Exercise 6.2, using the Basic Proportionality Theorem and its converse to find lengths, test for parallel lines and prove trapezium results.
Triangles
Basic Proportionality Theorem: Proof and Examples, Class 10
The Basic Proportionality Theorem (Thales) and its converse for Class 10: statement, full area proof, the whole-side form, and worked examples on lengths, parallel tests, trapeziums and isosceles triangles.
Triangles
NCERT Class 10 Exercise 6.1 Solutions: Similar Figures
Complete NCERT Class 10 Exercise 6.1 solutions: the fill-in-the-blanks on similar and congruent figures, checked examples of similar and non-similar pairs, and the square and rhombus question.
Triangles
Similar Figures in Maths: Meaning, Scale Factor and Examples
What similar figures are, how they differ from congruent ones, and the two-part test of equal angles and proportional sides, with scale factors, worked examples on rectangles, photos and maps, and practice questions.
Quadratic Equations
NCERT Class 10 Exercise 4.3 Solutions: Nature of Roots
Full NCERT Exercise 4.3 solutions using the discriminant: nature of roots of three equations, values of k for equal roots, and whether the mango grove, friends' ages and rectangular park situations are possible.
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