Posted inClass 10th math NCERT
Polynomials all formula
Polynomials definition, formula and types Class -10 chapter – 2, Polynomials(A) What is a quantity?A quantity is a thing which can be measured. There are two types of quantities:- (1)…
NCERT, Class 10, Quadratic Equations, Chapter–4, Exercise-4.2 – Step wise solution of each question with complete explanation
Q. 1. Find the roots of the following quadratic equations by factorization: (i) x^2–3x–10=0, (ii) 2x^2+x–6=0, (iii) √2x^2+7x+5√2=0, (iv) 2x^2–x+1/8 =0, (v) 100x^2 –20x+1=0; Q. 2. Solve the problems given…
Posted inClass 10th math NCERT Quadratic Equations Chapter - 4 Theory related to Quadratic Equations
Methods for solving a Quadratic Equation – Detailed step wise explanation of every method
(1) Method of finding Common Elements; (2) Discriminant Method; (3) Method of Quadratic Formula; (4) Steps involved in Discriminant Method; (5) Steps involved in the Method of Quadratic Formula; (6)…
Posted inClass 10th math NCERT Quadratic Equations Chapter - 4 Theory related to Quadratic Equations
Some facts about the Quadratic Equation we should know:
(1) When an equation will be a Quadratic Equation? (2) What is a constant quantity; (3) What is a constant term; (4) What is a variable quantity; (5) What is…
Algebraic Identities
(1) (a+b)2=a2+b2+2ab, (2) (a+b+c)2=a2+b2+c2+2ab+2bc+2ca, (3) (a+b)3=a3+b3+3ab(a+b), (4) a3+b3+c3–3abc=(a+b+c)(a2+b2+c2–ab–bc–ca), (5) a2–b2=(a+b)(a–b), (6) a3+b3=(a+b)(a2+b2–ab), (7) a3–b3=(a–b)(a2+b2+ab), (8) Constant quantities; (9) Variable quantities; (10) Constant term; (11) Equation
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.5 – Stepwise solution of each question
Q.1. Find: (i) (64)^(1/2), (ii) (32)^(1/5), (iii) (125)^(1/3); Q.2. Find: (i) (9)^(3/2), (ii) (32)^(2/5), (iii) (16)^(3/4), (iv) (125)^(-1/3); Q.3. Simplify: (i) ((2)^(2/3))×((2)^(1/5)), (ii) [(1/3)^3]^7, (iii) ((11^(1/2))/(11^(1/4)), (iv) ((7)^(1/2))×((8)^(1/2))
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.4 – Stepwise clear solution of each question
Q.1. Classify the following numbers as rational or irrational: (i) 2–√5, (ii) (3+√23) –√23, (iii) (2√7)/(7√7),(iv) 1/(√2), (v) 2π ; Q.2. Simplify each of the following expressions: (i) (3 +…