Access answers to NCERT Class 10 Maths Chapter 4 - Quadratic Equations Exercise 4.1 Page: 73 1. Check whether the following are quadratic equations: (i) (x + 1)² = 2(x-3) (ii) x2 - 2x = (-2) (3 - x) (iii) (x-2)(x + 1) = (x - 1)(x + 3) (iv) (x - 3) (2x+1) = x(x + 5) (v) (2x - 1)(x-3) = (x + 5)(x - 1) (vi) x2 + 3x + 1 = (x - 2)2 (vii) (x + 2)3 = 2x (x² - 1) (viii) x³ - 4x2 - x + 1 = (x - x³- - 2)3 Solutions : (i) Given, (x + 1)² = 2(x-3) By using the formula for (a+b)² = a²+2ab+b² x²+2x + 1 = 2x - 6 ⇒ x² + 7 = 0 The above equation is in the form of ax2 + bx + c = 0 Therefore, the given equation is a quadratic equation. (ii) Given, x2 - 2x = (-2) (3 - x) x²-2x = -6 + 2x ⇒ x2 - 4x + 6 = 0 The above equation is in the form of ax2 + bx + c = 0 Therefore, the given equation is a quadratic equation. (iii) Given, (x - 2)(x+1)=(x-1)(x + 3) By multiplication, x²-x-2= x² + 2x - 3 ⇒ 3x-1=0 The above equation is not in the form of ax2 + bx + c = 0 Therefore, the given equation is not a q...