Home
Class 11
MATHS
Let A0A1A2A3A4A5 be a regular hexagon in...

Let `A_0A_1A_2A_3A_4A_5` be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments `A_0A_1`, `A_0A_2` and `A_0A_4` is

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

A_0, A_1 ,A_2, A_3, A_4, A_5 be a regular hexagon inscribed in a circle of unit radius ,then the product of (A_0A_1*A_0A_2*A_0A_4 is equal to

Regular pentagons are inscribed in two circles of radius 5 and 2 units respectively. The ratio of their areas is

Line segments A C and B D are diameters of the circle of radius 1. If /_B D C=60^0 , the length of line segment A B is_________

If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then find its radius.

Find the equation of the circle having radius 5 and which touches line 3x+4y-11=0 at point (1, 2).

If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154 sq. units, then the equation of the circle is

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then find the radius of the circle.

Find the co-ordinates of the point of trisection of the line segment joining the points (0, 2, 1) and (2, -1, 5) that is nearer to (0, 2, 1).

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 4x + 6y - 3 = 0 .

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In an isosceles triangle ABC, AB=AC. If vertical angle A is 20^@, then...

    Text Solution

    |

  2. If f,g, h are the internal bisectors of a DeltaABC, then 1/fcos(A/2)+1...

    Text Solution

    |

  3. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  4. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

    Text Solution

    |

  5. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

    Text Solution

    |

  6. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

    Text Solution

    |

  7. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

    Text Solution

    |

  8. If I is the incenter of DeltaABC, then the ratio IA:IB:IC is equal t...

    Text Solution

    |

  9. If in a DeltaABC , a^2cos^2A=b^2+c^2, then

    Text Solution

    |

  10. In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

    Text Solution

    |

  11. In any triangle ABC,sum(sin^2A+sinA+1)/sinAis always greater than

    Text Solution

    |

  12. In DeltaABC, the value of ((r1+r2)(r2+r3)(r3+r1))/(R(s)^(2) is

    Text Solution

    |

  13. If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

    Text Solution

    |

  14. If in a triangle ABC, angleB=60^@,then

    Text Solution

    |

  15. Given an isosceles triangle with equal sides of length b,base angle a...

    Text Solution

    |

  16. In DeltaABC,A=15^@,b =10sqrt2cm the value of 'a' for which these will ...

    Text Solution

    |

  17. In DeltaABC, a=5,b=4,A=(pi/2)+B, thenC

    Text Solution

    |

  18. If tanA, tanB are the roots of the quadratic abx^2-c^2x+ab=0, where a,...

    Text Solution

    |

  19. There exist a triangle ABC satisfying

    Text Solution

    |

  20. In a DeltaABC,tanClt 0. Then

    Text Solution

    |