HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Select the correct option from the given alternatives :

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II

Solve the following quadratic equation.

8x² + 2x + 1 = 0

Solve the following quadratic equation

`2x^2 - sqrt(3)x + 1` = 0

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 + ...