Page 1 :
Matehematics, (Chapter - 4) (Quadratic Equations), (Class X), Exercise 4.1, Question 1:, Check whether the following are quadratic equations:, (x+1) = 2(x-3), (iii) (x-2)(x+1) = (x-1)(x+3), (i), (ii), r-2r=(-2)(3-x), (iv) (x-3)(2x+1)-x(x+5), (vi) x+3x+1=(x-2), (viii) x'-4x-x+1=(x-2)', (v) (2x-1)(x-3)=(x+5)(x-1), (vii) (x+2)'=2x(x* - 1), Answer 1:, (i), (x+1) =2(x-3)%3=r+2x+1 2x-6= x +7-0, It is of the form ax + bx +c = 0., Hence, the given equation is a quadratic equation., (ii) x - 2x = (-2)(3-x)=x'-2x =-6+2x x- 4x +6= 0, It is of the form ar +bx+c=0., Hence, the given equation is a quadratic equation., (iii) (x-2)(x+1)=(x-1)(x+3)=x² -x-2 =x' +2x- 3= 3x-1=0, It is not of the form ar + bx +c= 0., Hence, the given equation is not a quadratic equation., (iv) (x-3)(2x+1) = x(x+5)=2x² - 5x– 3 = x² +5x= x' -10x-3=0, It is of the form ar' +bx +c 0., Hence, the given equation is a quadratic equation., (v) (2x-1)(x-3)=(x+5)(x-1)=2x² -7x+3=x+4x-5 x-11x+8=0, It is of the form ax² + bx +c = 0., Hence, the given equation is a quadratic equation., (vi) x+3x+1= (x-2) =x +3x +1=x+4-4x 7x- 3 =0, It is not of the form ax +bx +c=0., Hence, the given equation is not a quadratic equation., 1| Page