Number Systems class 9 Ex 1.3 Q3(ii, iii)

Write the following numbers as power of 3 : (i) 3 (ii) 9 (iii) 243 (iv) 1

A game consists fo spining an arrow which come to rest pointing at one of the number 1,2,3,4,5,6,7,8,9, 10,11,12. Find the probability that the point at (i) a prime number, (ii) a number less than or equal to 9, (iii) a number between 3 and 11.

The variance of first 5 natural numbers is (i) 1 (ii) 2 (iii) 3 (iv) 4

If Lt_(x to a)(x^(9)-a^(9))/(x-a)=Lt_(xto5)(x+4) then all possible values of a are (i) 2, 3 (ii) -2, 2 (iii) -1, 1 (iv) -3, 3

Let A be a finite set. The number of relations on A where A has 3 elements are : (i) 9 (ii) 6 (iii) 256 (iv) 512

Convert the following in the form of a complex number : (i) (2, -5) (ii) (-3,1) (iii) (0, -2)

Express each of the following as a rational number in the form p/q : (i) 6^(-1) (ii) (-7)^(-1) (iii) (1/4)^(-1)

Express each of the following as a rational number of the form p/q : (i) 5^(-3) (ii) (-2)^(-5) (iii) (4/3)^(-3) (iv) ((-2)/5)^(-4) (v) 1/(2^(-3))

Express each of the following decimals in the form p/q : (i) 0. 1 (ii) 0. 2 (iii) 0. 3