Home
Class 14
MATHS
There is a point inside a circle. What i...

There is a point inside a circle. What is the probability that this point is close to the circumference than to the center?

A

A. `(3)/(4)`

B

B. `(1)/(2)`

C

C. `(1)/(4)`

D

D. `(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos
  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos
  • PROPERTIES OF TRIANGLES

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|30 Videos

Similar Questions

Explore conceptually related problems

There is a point inside a circle. What is the probability that this point is close to the circumference than to the centre ?

A point is selected at random from inside a circle. The probability that the point is closer to the circumference of the circle than to its centre, is

A point is chosen at random inside a circle. Find the probability that the point is closer to the centre of the circle than to its circumference.

There are some experiment in which the outcomes cannot be identified discretely. For example, an ellipse of eccentricity 2sqrt(2)//3 is inscribed in a circle and a point within the circle is chosen at random. Now, we want to find the probability that this point lies outside the ellipse. Then, the point must lie in the shaded region shown in Figure. Let the radius of the circle be a and length of minor axis of the ellipse be 2b. Given that 1 - (b^(2))/(a^(2)) = (8)/(9) or (b^(2))/(a^(2)) = (1)/(9) Then, the area of circle serves as sample space and area of the shaded region represents the area for favorable cases. Then, required probability is p= ("Area of shaded region")/("Area of circle") =(pia^(2) - piab)/(pia^(2)) = 1 - (b)/(a) = 1 - (1)/(3) = (2)/(3) Now, answer the following questions. A point is selected at random inside a circle. The probability that the point is closer to the center of the circle than to its circumference is

A point is selected at random from the interior of a circle.The probability that the point is closer to the centre than the boundary of the circle is

A square is inscribed in a circle.If p_(r) is the probability that a randomly chosen point inside the circle lies within the square and p, is the probability that the point lies outside the square,then

PUNEET DOGRA-PROBABILITY-PREV YEAR QUESTIONS
  1. The probability that a leap year, selected at random. will contain 53 ...

    Text Solution

    |

  2. Two letters are drawn at random from the word HOME What is the probabi...

    Text Solution

    |

  3. There is a point inside a circle. What is the probability that this po...

    Text Solution

    |

  4. In a class of 125 students 70 passed in mathematics. 55 passed in stat...

    Text Solution

    |

  5. A husband and wife appear in an interview for two vacancies in the sam...

    Text Solution

    |

  6. The probability that in the random arrangement of the letters of the ...

    Text Solution

    |

  7. A experiment consists of flipping a coin and then flipping it a second...

    Text Solution

    |

  8. If A and B are events such that P(A uu B) = 0.5, P(barB)= 0.8 and P(A/...

    Text Solution

    |

  9. A box contains 6 distinct dolls. From this box, three dolls are random...

    Text Solution

    |

  10. There are 4 letters and 4 directed envelopes. These 4 letters are rand...

    Text Solution

    |

  11. In an examination, there are 3 multiple-choice questions and each ques...

    Text Solution

    |

  12. Find the probability of 53 Sundays in an ordinary year.

    Text Solution

    |

  13. Three digital numbers are formed using the digits 0.2.4.6.8. A number ...

    Text Solution

    |

  14. A lot of 4 white and 4 red balls is randomly divided into two halves. ...

    Text Solution

    |

  15. Two balls are selected from a box containing 2 blue and 7 red balls. W...

    Text Solution

    |

  16. The probability of guessing a correct answer is x/12. If the probabili...

    Text Solution

    |

  17. An observed event B can occure after one of the three events A(1), A(2...

    Text Solution

    |

  18. In the given figure graph of y=p(x)=x^(4)+ax^(3)+bx^(2)+cx+d is given ...

    Text Solution

    |

  19. The mean and variance of a binomial distribution are 8 and 4 respectiv...

    Text Solution

    |

  20. Three letters are randomly selected from the 26 capital letters of the...

    Text Solution

    |