Get live Maths 1-on-1 Classs - Class 6 to 12

Ex 4.3

Ex 4.3, 1 (i)
Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (ii) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iii) Deleted for CBSE Board 2023 Exams

Ex 4.3, 1 (iv) Important Deleted for CBSE Board 2023 Exams

Ex 4.3, 2 (i)

Ex 4.3, 2 (ii)

Ex 4.3, 2 (iii)

Ex 4.3, 2 (iv) Important

Ex 4.3, 3 (i) Important

Ex 4.3, 3 (ii)

Ex 4.3, 4

Ex 4.3, 5 You are here

Ex 4.3, 6

Ex 4.3, 7 Important

Ex 4.3, 8 Important

Ex 4.3, 9 Important

Ex 4.3, 10 Important

Ex 4.3, 11

Chapter 4 Class 10 Quadratic Equations

Serial order wise

Last updated at March 22, 2023 by Teachoo

Ex 4.3 ,5 In a class test, the sum of Shefali s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects. Let shefali s marks in mathematics = x Given that sum of Shefali s marks in English and Mathematics is 30 Marks in mathematics + Marks in English = 30 x + Marks in English = 30 Marks in English = 30 x Also, it is given that had she got 2 marks more in mathematics and 3 marks less in English, the product of their marks would have been 210 (Marks in Maths + 2) (Marks in English 3) = 210 (x + 2) (30 x 3) = 210 (x + 2) (27 x ) = 210 x (27 x) + 2 (27 x) = 210 27x x2 + 54 2x = 210 27x x2 + 54 2x 210 = 0 x2 2x + 27x + 54 210 = 0 x2 + 25x 156 = 0 0 = x2 25x + 156 x2 25x + 156 = 0 We factorize by splitting the middle term method x2 12x 13x + 156 = 0 x (x 12) 13 (x 12) = 0 (x 13) (x 12) = 0 Therefore x = 13, x = 12 are the roots of the given equation Assuming x = 12, Marks in maths = x = 12 Marks in English = 30 x = 30 12 = 18