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Worked problems, method notes and exam strategy from the people who teach the classes.
Pair of Linear Equations in Two Variables
Complete NCERT Class 10 Exercise 3.1 solutions: forming equations from word problems, solving them graphically, the coefficient ratio test for consistency, building equations to order and the triangle with the x-axis.
Pair of Linear Equations in Two Variables
Learn to solve a pair of linear equations in two variables by drawing graphs, tell intersecting, parallel and coincident lines apart with the coefficient ratio test, and practise with worked examples.
Real Numbers
Step-by-step NCERT Class 10 Exercise 1.2 solutions proving that root 5, 3 + 2 root 5, 1 over root 2, 7 root 5 and 6 + root 2 are irrational, using proof by contradiction and the prime divisor theorem.
Real Numbers
Step-by-step proofs by contradiction that root 2 and root 3 are irrational, the prime-divides-square theorem they rest on, and how to show numbers like 5 minus root 3 and 3 root 2 are irrational.
Real Numbers
Full NCERT Class 10 Exercise 1.1 solutions: prime factorisation of five numbers, HCF and LCM of pairs and triples, LCM from a given HCF, why 6ⁿ never ends in 0, two composite numbers and the Sonia and Ravi track problem.
Real Numbers
Why every composite number breaks into primes in exactly one way, and how to use prime factorisation to find the HCF and LCM, decide whether a power can end in 0, and avoid the three-number HCF-LCM trap.
Mathematics
A complete guide to factorisation: the HCF of monomials, fifteen identities from common factors to the three-cube identity, worked examples of each, splitting the middle term, and dividing algebraic expressions.
Mathematics
Learn the laws of exponents, from the product, quotient and power rules to zero, negative and fractional powers, with the reason behind each rule, six worked examples and the mistakes to avoid.
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