Home
Class 12
MATHS
In a n- sided regular polygon, the proba...

In a `n-` sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is `(2^n C_2)/(^(^(n C_(2-n)))C_2)` b. `(^(n(n-1))C_2)/(^(^(n C_(2-n)))C_2)` c. `(^n C_4)/(^(^(n C_(2-n)))C_2)` d. none of these

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)|120 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

In a n- sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is a.(2^n C_2)/(^(^(n C_(2-n)))C_2) b. ("^(n(n-1))C_2)/(^(^(n C_(2-n)))C_2) c. (^n C_4)/(^(^(n C_(2-n)))C_2) d. none of these

(.^(n)C_(1))/(2)-(2(.^(n)C_(2)))/(3)+(3(.^(n)C_(3)))/(4)-....+(-1)^(n+1)(n(.^(n)C_(n)))/(n+1)=

(*^(n)c_(0))^(2)+3(.^(n)C_(1))^(2)+5(.^(n)C_(2))^(2)+ ......+(2n+1)(.^(n)C_(n))^(2)

Prove that (^(2n)C_0)^2+(^(2n)C_1)^2+(^(2n)C_2)^2-+(^(2n)C_(2n))^2-(-1)^n^(2n)C_ndot

2*^(n)C_(0)+2^(2)*(*^(n)C_(1))/(2)+2^(3)*(*^(n)C_(2))/(3)+...+2^(n+1)*(*^(n)C_(n))/(n+1)=

C_(0)^(n)C_(n)^(n+1)+C_(1)^(n)C_(n-1)^(n)+C_(2)^(n)*C_(n-2)^(n-1)+.........+C_(n)^(n)*C_(0)^(1)=2^(n-1)(n+2)

Prove that ^nC_(0)^(2n)C_(n)-^(n)C_(1)^(2n-1)C_(n)+^(n)C_(2)xx^(2n-2)C_(n)++(-1)^(n)sim nC_(n)^(n)C_(n)=1

FIITJEE-MATHEMATICS TIPS-NUMERICAL DECIMAL BASED QUESTIONS
  1. In a n- sided regular polygon, the probability that the two diagonal c...

    Text Solution

    |

  2. If in an A.P. a(7)=9 and if a(1)a(2)a(7) is least, then common differ...

    Text Solution

    |

  3. If x, y, z are positive real numbers, then minimum value of (z)/(x+y)+...

    Text Solution

    |

  4. If the difference of the roots of the equation x^(2)-5x+6=0 is same as...

    Text Solution

    |

  5. The minimum value of 'a' for which a^(2)x^(2)+(2a-1)x+1 is non-negativ...

    Text Solution

    |

  6. The minimum value of the expression [3x^(2)+4x+5] (where [.] greatest ...

    Text Solution

    |

  7. Let lambda be real. If. The origin and the complex roots of 2z^(2)+2z+...

    Text Solution

    |

  8. The equation |z-i|+|z+i|=k, k gt 0 can represent an ellipse, if k=

    Text Solution

    |

  9. For |z-1|=1, i tan(("arg"(z-1))/(2))+(2)/(z) is equal to

    Text Solution

    |

  10. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  11. Find out the sum of the coefficients in the expansion of the binomial ...

    Text Solution

    |

  12. A fair coin is tossed 100 times. The probability of getting tails an ...

    Text Solution

    |

  13. The probabilities of two events are 0.25 and 0.50. The total probabili...

    Text Solution

    |

  14. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

    Text Solution

    |

  15. The number of non-zero diagonal matrices of order 4 satisfying A^(2)=A...

    Text Solution

    |

  16. Find the following system of equations is consistent, (a+1)^3x+(a+2...

    Text Solution

    |

  17. The maximum value of determinant |{:(cos(alpha+beta),sin alpha,-cos al...

    Text Solution

    |

  18. If x+y+z=10, where x,y,z in N. Find the number of solutions of triplet...

    Text Solution

    |

  19. The figures 4, 5, 6, 7, 8 are written in every possible order. The num...

    Text Solution

    |

  20. If a^(2)+b^(2)+c^(2)=1 where, a,b,cin R, then the maximum value of (4a...

    Text Solution

    |

  21. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |