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# A function y = f (x) satisfies the condition f '(x) sin x + f (x) cos x = 1, f (x) being bounded when x 0. If

## The correct answer is:

### Given:-A function y=f(x) satisfies the condition f′(x)sinx+f(x)cosx=1,f(x) being bounded when x→0

we need to find I if I=.

### Related Questions to study

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### Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then and Therefore A, B and C are mutually independent events

Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C), = P(C) . P(A) and = P(A) . P(B) . P(C)

### Statement-I : In throwing of two dice, let the events A, B and C be 'the first dice shows an even number', 'the second dice shows an odd numbers' and 'both the dice show an odd numbers or both the dice show an even number’ respectively. Then and Therefore A, B and C are mutually independent events

Statement-II : Three events A, B and C are mutually independent if and only if P(A Ç B) = P(A) . P(B), P(B Ç C) = P(B) . P(C), = P(C) . P(A) and = P(A) . P(B) . P(C)

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### The probability that 4th power of a positive integer ends in the digit 6 is:

### The probability that 4th power of a positive integer ends in the digit 6 is:

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### Let A, B, C be pairwise independent events with P(C)> 0 and . Then

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### Let A and B be two events such that and stands for complement of event A. Then events A and B are-

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### A random variable X has the probability distribution :

For the events E = {X is a prime number} and F = {X < 4}, the probability is-

### A random variable X has the probability distribution :

For the events E = {X is a prime number} and F = {X < 4}, the probability is-

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### A fair coin is tossed 3 times. Consider the events A : first toss is head ; B : second toss is head C : exactly two consecutive heads or exactly two consecutive tails

Statement - I A,B,C are independent events.

Statement - II A,B,C are pairwise independent.

### A fair coin is tossed 3 times. Consider the events A : first toss is head ; B : second toss is head C : exactly two consecutive heads or exactly two consecutive tails

Statement - I A,B,C are independent events.

Statement - II A,B,C are pairwise independent.

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### An experiment resulting in sample space as S = {a, b, c, d, e, f} Let three events A, B and C are defined as A = {a, c, e,}, B = {c, d, e, f} and C = {b, c, f}. then the correct order sequance is

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### An ellipse is drawn with major and minor axes of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse. The radius of the circle is

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### From a point P, perpendicular tangents PQ and PR are drawn to ellipse Locus of circumcentre of triangle PQR is

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### The least integral value that contained is the range of the function f defined by is ___

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### The period of the function is

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