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Tag Archives: RD Sharma Class-9

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