English Medium Class 9 - CBSE Question Bank Solutions

If x = −2 and y = 1, by using an identity find the value of the following

Find the following product:

(3x + 2y + 2z) (9x² + 4y² + 4z² − 6xy − 4yz − 6zx)

Find the following product:

(4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

Find the following product:

(2ab − 3b − 2c) (4a² + 9b² +4c² + 6 ab − 6 bc + 4ca)

Find the following product:

(3x − 4y + 5z) (9x² +16y² + 25z² + 12xy −15zx + 20yz)

Evaluate:

25³ − 75³ + 50³

Evaluate:

48³ − 30³ − 18³

If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].

If \[x + \frac{1}{x} = 3\]  then find the value of \[x^6 + \frac{1}{x^6}\].

If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]

If \[a^2 + \frac{1}{a^2} = 102\] , find the value of \[a - \frac{1}{a}\].

If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]

Mark the correct alternative in each of the following:

If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]