HSC Science (Electronics) 11th Standard - Maharashtra State Board Question Bank Solutions

Three fair coins are tossed. What is the probability of getting three heads given that at least two coins show heads?

Two cards are drawn one after the other from a pack of 52 cards without replacement. What is the probability that both the cards drawn are face cards?

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"`