HSC Arts (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(1)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(5)

If f(x) = 2|x| + 3x, then find f(2)

If f(x) = 2|x| + 3x, then find f(– 5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(7.2)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(0.5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find `"f"(- 5/2)`

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 1)

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find `"f"(1/4)`

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 1.2)

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 6)

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

|x + 4| ≥ 5

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

|x − 4| + |x − 2| = 3

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

x² + 7 |x| + 12 = 0

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

|x| ≤ 3

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

2|x| = 5

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

[x + [x + [x]]] = 9

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

{x} > 4

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

{x} = 0