Home
Class 12
MATHS
A hexagon is inscribed in a circle of ra...

A hexagon is inscribed in a circle of radius r. Two of its sides have length 1, two have length 2 and the last two have length 3. Prove that r is a root of the equation `2r^(3) -7r-3=0.`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Show that the rectangle of maximm area that can be inscribed in a circle of radius r is a square of side sqrt2 r

If the lengths of the side of a triangle are 3,4 and 5 units, then find the circum radius R.

AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of AB and AC from the centre, prove that 4q^2 = p^2 + 3r^2

Prove that the area of a sector of a circle of radius r and an arc of length s is 1/2 rs.

Two different gases have exactly the same temperature. Does this mean that their molecules have the same r.m.s. speed?

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS
  1. A hexagon is inscribed in a circle of radius r. Two of its sides have ...

    Text Solution

    |

  2. Prove that a^(2)+ b^(2) +c^(2) +2abclt2, where a,b,c are the sides of ...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. A polygon of n sides, inscribed in a circle, is such that its sides su...

    Text Solution

    |

  5. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  6. Find the value of the trigonometric function sin((5pi)/6)

    Text Solution

    |

  7. Find the radian measure of the following degree measure 75°

    Text Solution

    |

  8. If in a DeltaABC, (a cos A+b cos B+ c cos C)/(a sin B+b sin C+ c sin A...

    Text Solution

    |

  9. In Delta ABC, 'h' is the length of altitude drawn from vertex A on th...

    Text Solution

    |

  10. Find the value of other five trigonometric functions if cosx = -3/5 , ...

    Text Solution

    |

  11. If in a Δ A B C , b = √ 3 , c = 1 and B − C = 90 ∘ , then ∠ A is

    Text Solution

    |

  12. An equilateral triangle PQR is circumscribed about a given DeltaABC. P...

    Text Solution

    |

  13. Find the other five trigonometric functions if cosx = 4/5 , x lies in ...

    Text Solution

    |

  14. Find the points inside a Delta from which the sum of the squares of di...

    Text Solution

    |

  15. In triangle ABC, line joining the circumcenter and orthocentre is para...

    Text Solution

    |

  16. Find the value of trigonometric function cot((-15pi)/4)

    Text Solution

    |

  17. Prove that sin^2(30°) + cos^2(60°) - tan^2(45°) = -1/2

    Text Solution

    |

  18. Prove that (2cos^3x-cosx)/(sinx - 2sin^3x) = cotx

    Text Solution

    |