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

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a"  - (1)/"a"`

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a"  + (1)/"a"`

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`

If 2x + 3y = 10 and xy = 5; find the value of 4x² + 9y²

If x + y + z = 12 and xy + yz + zx = 27; find x² + y² + z².

If a² + b² + c² = 41 and a + b + c = 9; find ab + bc + ca.

If p² + q² + r² = 82 and pq + qr + pr = 18; find p + q + r.

If x + y + z = p and xy + yz + zx = q; find x² + y² + z².

If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a"  + (1)/"a"`

If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x` 

If `"p"  + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`

If `"p"  + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`

If `"r"  - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`

If `"r"  - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`

If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`

If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.

Simplify:
(4x + 5y)² + (4x - 5y)²

Simplify:
(7a +5b)² - (7a - 5b)²

Simplify:

`("a" - 1/"a")^2 + ("a" + 1/"a")^2`

Simplify:
(x + y - z)² + (x - y + z)²