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

Expand : ( 5a - 3b + c )²

Expand : ( 5x - 3y - 2 )²

Expand : `( x - 1/x + 5)^2`

If a + b + c = 12 and a² + b² + c² = 50; find ab + bc + ca.

If a² + b² + c² = 35 and ab + bc + ca = 23; find a + b + c.

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

If a² + b² + c² = 50 and ab + bc + ca = 47, find a + b + c.

If x+ y - z = 4 and x² + y² + z² = 30, then find the value of xy - yz - zx.

If x + 2y + 3z = 0 and x³ + 4y³ + 9z³ = 18xyz ; evaluate : 
`[( x + 2y )^2]/(xy) + [(2y + 3z)^2]/(yz) + [(3z + x)^2]/(zx)`

If a + `1/a` = m and a ≠ 0 ; find in terms of 'm'; the value of :
`a - 1/a`

If a + `1/a` = m and a ≠ 0; find in terms of 'm'; the value of `a^2 - 1/a^2`.

In the expansion of (2x² - 8) (x - 4)²; find the value of coefficient of x³.

In the expansion of (2x² - 8) (x - 4)²; find the value of coefficient of x²

In the expansion of (2x² - 8) (x - 4)²; find the value of constant term.

If x > 0 and `x^2 + 1/[9x^2] = 25/36, "Find"  x^3 + 1/[27x^3]` 

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

(ii) `x^3 - 1/x^3`

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

(ii) `x^3 - 1/x^3`

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

(ii) `x^3 - 1/x^3`

If 2( x² + 1 ) = 5x, find :
(i) `x - 1/x`

(ii) `x^3 - 1/x^3`

If a² + b² = 34 and ab = 12; find : 3(a + b)² + 5(a - b)²