Home
Class 12
MATHS
Two positive real numbers x and y satisf...

Two positive real numbers x and y satisfying `xle1 and yle1` are chosen at random. The probability that `x+yle1`, given that `x^2+y^2le(1)/(4)`, is

A

`(pi)/(16)`

B

`(4pi)/(16)`

C

`(pi)/(8)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Similar Questions

Explore conceptually related problems

The set of real values of x satisfying | x -1 | le 3 and |x - 1| ge 1 is :

A number x is chosen at random from numbers -3,-2,-1,0,1,2, and 3. find the probability that |x| lt 2 .

IF a number ' x' choosen at random from the numbers -2 ,-1,0,1,2 . What is the probability that x^2 lt 3 ?

If a number x is chosen from 1,2, and 3 and a number y is chosen from the sequence 1,4, and 9, find the probability that xy is less than 9.

A number x is selected at random from the numbers 1,2,3, and 4. another number y is selected at random from numbers 1,4,9, and 16. find the probability that product of x and y is less than 16.

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that x^2+bx+cgt0 for all x in R is

If xa n dy are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^2theta-4tantheta+1=0, then

A number is chosen at random from -3,-2,-1,0,1,2 and 3. what is the probability that the square of this number is less than or equal to 1 ?

The area of the region described by : A={(x,y): x^2 +y^2 le 1 and y^2 le 1 -x } is :