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

Solve the following quadratic equation.

3x² − 7x + 5 = 0

Solve the following quadratic equation.

x² − 4x + 13 = 0

Solve the following quadratic equation.

x² + 3ix + 10 = 0

Solve the following quadratic equation.

2x² + 3ix + 2 = 0

Solve the following quadratic equation.

x² + 4ix − 4 = 0

Solve the following quadratic equation.

ix² − 4x − 4i = 0

Solve the following quadratic equation.

x² − (2 + i)x − (1 − 7i) = 0

Solve the following quadratic equation.

`x^2 - (3 sqrt (2) +2 i) x + 6 sqrt (2) i` = 0

Solve the following quadratic equation.

x² − (5 − i) x + (18 + i) = 0

Solve the following quadratic equation.

(2 + i)x² − (5 − i) x + 2(1 − i) = 0

Find the value of x³ − x² + x + 46, if x = 2 + 3i

Find the value of 2x³ − 11x² + 44x + 27, if x = `25/(3 - 4"i")`

Find the value of x³ + x² − x + 22, if x = `5/(1 - 2"i")`

Find the value of x⁴ + 9x³ + 35x² − x + 4, if x = `-5+sqrt(-4)`

Find the value of 2x⁴ + 5x³ + 7x² − x + 41, if x = `-2 - sqrt(3)"i"`

Find the sum to n terms 3 + 33 + 333 + 3333 + …

Find the sum to n terms 8 + 88 + 888 + 8888 + ...

Find the sum to n terms 0.4 + 0.44 + 0.444 + ...

Find the sum to n terms 0.7 + 0.77 + 0.777 + ...

Find S_n of the following arithmetico - geometric sequence: 

2, 4x, 6x², 8x³, 10x⁴, …