Math 10 quadratic equations CBSE

S.N.	Questions of chapter 4
	Exercise 4.1
1	Q1: 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
2(i)	Q2: Represent the following situations in the form of quadratic equations: (i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
2(ii)	(ii) The product of two consecutive positive integers is 306. We need to find the integers.
2(iii)	(iii) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.
2(iv)	(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
	Exercise 4.2
1	Q1: Find the roots of the following quadratic equations by factorization: (i) x2 – 3x – 10 = 0 (ii) 2x2 + x – 6 = 0 (iii) √2 x2 + 7 x + 5√2 = 0 (iv) 2x2 – x + 1/8 = 0 (v) 100 x2 – 20x + 1 = 0
2(a)	Q2: (a) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
2(b)	(b) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.
3	Q3: Find two numbers whose sum is 27 and product is 182.
4	Q4: Find two consecutive positive integers, sum of whose squares is 365.
5	Q5: The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
6	Q6: A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
	Exercise 4.3
1	Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2 – 7x + 3 = 0 (ii) 2x2 + x – 4 = 0 (iii) 4x2 + 4 root 3x + 3 = 0 (iv) 2x2 + x + 4 = 0
2	Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula.
3	Find the roots of the following equations:(please click to see the answer)
4	The sum of the reciprocals of Age pf Rehmanages, (in years) 3 years ago and 5 years from now is1/3Find his present age
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.
6	The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field. 7. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Remaining Question of Exercise 4.3

Exercise 4.4