Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7 Question 1. The age of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6 Question 1. Solve the following pairs of equations by reducing them to a pair of linear equations: Solution:By cross multiplication methodBy cross multiplication methodBy cross multiplication methodBy cross multiplication methodsolving for u and v by cross multiplication method:By cross multiplication method:By cross multiplication method: […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5 Question 1. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method. (i) x – 3y – 3 = 0 3x – 9y – […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4 Question 1. Solve the following pair of linear equations by the elimination method and the substitution (i) x + y = 5 and 2x – 3y = 4 (ii) 3x + 4y = 10 and 2x – 2y = 2 (iii) 3x – 5y […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3 Question 1. Solve the following pair of linear equations by the substitution method, (i) x + y = 14, x – y = 4 (ii) s – t = 3, s/3 + t/2 = 6 (iii) 3x – y = 3, 9x – 3y = 9 (iv) 0.2x […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2
Chapter 3 Pair of Linear Equations in Two Variables Ex 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 a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number […]
Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1
Chapter 3 Pair of Linear Equations in Two Variables Ex 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 be three times as old as you will be.” (Isn’t this interesting)? Represent this situation algebraically and graphically. […]
Chapter 2 Polynomials Ex 2.4
Chapter 2 Polynomials Ex 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: Solution:(i) Comparing the given polynomial with ax3 + bx2 + cx + d, we get: a = 2, b – 1, c = -5 […]
Chapter 2 Polynomials Ex 2.3
Chapter 2 Polynomials Ex 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 -3, g(x) = x2-2 (ii) p(x) =x4 – 3×2 + 4x + 5, g(x) = x2 + 1 -x (iii) p(x) = x4 – 5x + 6, […]
Chapter 2 Polynomials Ex 2.2
Chapter 2 Polynomials Ex 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 + 1 (iii) 6×2 – 3 – 7x (iv) 4u2 + 8u (v) t2 -15 (vi) 3×2 – x – 4 Solution: Question 2. Find a […]