(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Use identities to evaluate : (101)²

Use identities to evaluate : (502)²

Use identities to evaluate : (97)²

Use identities to evaluate : (998)²

Evalute : `( 7/8x + 4/5y)^2`

Evalute : `((2x)/7 - (7y)/4)^2`

Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.

Evaluate : (4a +3b)² - (4a - 3b)² + 48ab.

If a + b = 7 and ab = 10; find a - b.

If a - b = 7 and ab = 18; find a + b.

If x + y = `7/2  "and xy" =5/2`; find:  x - y and x² - y²

If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a² - b².

If a - b = 4 and a + b = 6; find
(i) a² + b²
(ii) ab

If a + `1/a`= 6 and  a ≠ 0 find :
(i) `a - 1/a   (ii)  a^2 - 1/a^2`

If a - `1/a`= 8 and  a ≠ 0 find :
(i) `a + 1/a   (ii)  a^2 - 1/a^2`

If a² - 3a + 1 = 0, and a ≠ 0; find: 

1. `a + 1/a`         
2. `a^2 + 1/a^2`

The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.

The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.

If 3x + 4y = 16 and xy = 4, find the value of 9x² + 16y².

If a² - 5a - 1 = 0 and a ≠ 0 ; find:

1. `a - 1/a`
2. `a + 1/a`
3. `a^2 - 1/a^2`