English Medium कक्षा ९ - CBSE Question Bank Solutions

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.2

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.888...

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`5.bar2`

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`0.bar001`

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.2555...

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`0.1bar34`

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.00323232...

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.404040...

Show that 0.142857142857... = `1/7`

Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.

If x⁵¹ + 51 is divided by x + 1, the remainder is ______.

By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x⁴ + 1; x – 1

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x³ – 2x² – 4x – 1, g(x) = x + 1

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x³ – 3x² + 4x + 50, g(x) = x – 3

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = 4x³ – 12x² + 14x – 3, g(x) = 2x – 1

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x³ – 6x² + 2x – 4, g(x) = `1 - 3/2 x`

Check whether p(x) is a multiple of g(x) or not:

p(x) = x³ – 5x² + 4x – 3, g(x) = x – 2

Check whether p(x) is a multiple of g(x) or not:

p(x) = 2x³ – 11x² – 4x + 5, g(x) = 2x + 1

Determine which of the following polynomials has x – 2 a factor:

4x² + x – 2

Determine which of the following polynomials has x – 2 a factor:

4x² + x – 2