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

Select the correct answer from the given alternatives.

`lim_(x -> 0) ((5sinx - xcosx)/(2tanx - 3x^2))` =

Select the correct answer from the given alternatives.

`lim_(x -> pi/2) [(3cos x + cos 3x)/(2x - pi)^3]` =

Evaluate the following :

`lim_(x -> 0)[(secx^2 - 1)/x^4]`

Evaluate the following :

`lim_(x -> 0) [(x(6^x - 3^x))/(cos (6x) - cos (4x))]`

Evaluate the following :

`lim_(x -> "a") [(sinx - sin"a")/(x - "a")]`

Evaluate the following :

`lim_(x -> "a") [(x cos "a" - "a" cos x)/(x - "a")]`

Evaluate the following :

`lim_(x -> pi/4) [(sinx - cosx)^2/(sqrt(2) - sinx - cosx)]`

A card is drawn from a pack of 52 cards. What is the probability that, card is either black or a face card?

Following data gives age of 100 students in a college. Calculate variance and S.D.

An insurance agent insures lives of 5 men, all of the same age and in good health. The probability that a man of this age will survive the next 30 years is known to be 2/3 . Find the probability that in the next 30 years at most 3 men will survive.

Suppose that 80% of all families own a television set. If 5 families are interviewed at  random, find the probability that
a. three families own a television set.
b. at least two families own a television set.

Find the trigonometric function of :

0°

Find the trigonometric function of:

30°

Find the trigonometric function of:

45°

Find the trigonometric function of :

60°

Find the trigonometric function of : 

150°

Find the trigonometric functions of :

180°

Find the trigonometric function of :

210°

Find the trigonometric function of :

300°

Find the trigonometric functions of :

330°