Question 1. Express the following rational numbers as decimals: i) 42/100 ii) 327/500 iii) 15/4 Solutions: (i) 42/100 Using long division method: So, 42/100 =… Read More

# Tag Archives: RD Sharma Class-9

Question 1. In the figure, the sides BA and CA have been produced such that: BA = AD and CA = AE. Prove that segment… Read More

Question 1. Find the cube of each of the following binomial expressions. (a) (1/x+y/3) (b) (3/x-2/x2) (c) (2x+3/x) (d) (4-1/3x) Solution: (a) (1/x+y/3) Given, (1/x+y/3)3… Read More

Question 11. If 3x-2y=11 and xy = 12, find the value of 27x3-8y3 Solution: Given, 3x-2y=11 and xy=12 we know that (a-b)3 = a3-b3-3ab(a-b) (3x-2y)3… Read More

Question 1. If f(x) = 2x3-13x2+17x+12, find 1. f(2) 2. f(-3) 3. f(0) Solution: Given: f(x)=2x3-13x2+17x+12 1. f(2) We need to substitute the ‘2’ in… Read More

Question 1. If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively. Find the mean height.… Read More

Question 13. The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later… Read More

Class 9 RD Sharma Solutions – Chapter 5 Factorisation of Algebraic Expressions- Exercise 5.2 | Set 1

Factorize each of the following expressions: Question 1. p3+27 Solution: ⇒ p3+33 ⇒(p+3)(p2-3p-9) … Read More

Question 1. A cuboidal water tank is 6 m long, 5 m wide, and 4.5 m deep. How many liters of water can it hold?… Read More

Class 9 RD Sharma Solutions – Chapter 5 Factorisation of Algebraic Expressions- Exercise 5.2 | Set 2

Factorize each of the following expressions: Question 13. 8x2y3-x5 Solution: ⇒ x2((2y)3 – x3) ⇒ x2(2y-x)((2y)2+2xy+x2) … Read More

Question 1. Find the area of a triangle whose sides are respectively 150 cm, 120 cm and 200 cm. Solution: By Heron’s formula, we have, Area… Read More

Question 13. Find the value of k if x – 3 is a factor of k2x3 – kx2 + 3kx – k Solution: Let, f(x) = k2x3… Read More

Question 14. The dimensions of a cinema hall are 100 m, 50 m, 18 m. How many persons can sit in the hall, if each… Read More

In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x), or not(Question 1-7): Question 1. f(x)… Read More

In each of the following using the remainder theorem, find the reminder when f(x) is divided by g(x)and verify by actual division:(1-8) Question 1. f(x)… Read More