NCERT Solutions Class 10

Class 10 – Mathematics Linear Equations In Two Variables – Exercise 3.4 Exercise 3.4 Question : 1:Solve the following pair of linear equations by the elimination method and the substitution method: (i) x + y = 5 and 2x –…

Class 10 – Mathematics Linear Equations In Two Variables – Exercise 3.3 Exercise 3.3 Question : 1:Solve the following pair of linear equations by the substitution method. (i)    x + y = 14; x – y = 4 (ii)   s…

Class 10 – Mathematics Linear Equations In Two Variables – Exercise 3.2 Exercise 3.2 Question : 1:Form the pair of linear equations in the following problems, and find their solutions graphically. (i) 10 students of Class X took part in…

Class 10 – Mathematics Linear Equations In Two Variables – Exercise 3.1 Exercise 3.1 Question : 1:Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall…

Class 10 – Mathematics Polynomials – Exercise 2.4 Exercise 2.4 Question : 1:Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case: (i)…

Class 10 – Mathematics Polynomials – Exercise 2.3 Exercise 2.3 Question : 1:Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x3 – 3×2 + 5x –…

Class 10 – Mathematics Polynomials – Exercise 2.2 Exercise 2.2 Question : 1:Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (i) x2 – 2x – 8                                (ii) 4s2 – 4s…

Class 10 – Mathematics Polynomials – Exercise 2.1 Exercise 2.1 Question : 1:The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. Answer :…

Class 10 – Mathematics Real Numbers – Exercise 1.3 Exercise 1.3 Question : 1:Prove that √5 is irrational. Answer : Let us suppose that √5 is a rational number. So, it can be represented as p/q form ⇒ √5 =…

Class 10 – Mathematics Real Numbers – Exercise 1.2 Exercise 1.2 Question : 1:Express each number as a product of its prime factors: (i) 140                  (ii) 156                 (iii) 3825                (iv) 5005                    (v) 7429 Answer : (i) 140 = 2 *…

Class 10 – Mathematics Real Numbers – Exercise 1.1 Exercise 1.1 Question : 1:Use Euclid’s division algorithm to find the HCF of: (i) 135 and 225                   (ii) 196 and 38220                 (iii) 867 and 255 Answer : (i) 135 and 225…