Home
Class 12
MATHS
For a regular polygon, let r and R be th...

For a regular polygon, let r and R be the radii of the inscribed and the cirumscribed circles, respectively. A false statement among the following is

A

there is a regular polygon with r/R = 1/2

B

there is a regular polygon with `r//R = 1//sqrt(2)`

C

there is a regular polygon with `r//R = 2//3`

D

there is a regular polygon with `r//R = sqrt(3)//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

The false statement among the following is

For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is There is a regular polygon with r/R=1/(sqrt(2)) (17) There is a regular polygon with r/R=2/3 (30) There is a regular polygon with r/R=(sqrt(3))/2 (47) There is a regular polygon with r/R=1/2 (60)

Which is the false statement among the following:

The statement which is false among the following is

Mark the false statement w.r.t. frog

Prove that the area of a regular polygon hawing 2n sides, inscribed in a circle, is the geometric mean of the areas of the inscribed and circumscribed polygons of n sides.

In the ionic compound AB the ratio r_(A+):r_(B-) is 0.414 . Indicate the correct statement among the following:

Let ABC be a triangle with incentre I and inradius r. Let D, E, F be the feet of the perpendiculars from I to the sides BC, CA and AB, respectively, If r_(2)" and "r_(3) are the radii of circles inscribed in the quadrilaterls AFIE, BDIF and CEID respectively, then prove that r_(1)/(r-r_(1))+r_(2)/(r-r_(2))+r_(3)/(r-r_(3))=(r_(1)r_(2)r_(3))/((r-r_(1))(r-r_(2))(r-r_(3)))

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

Mark the false statement w.r.t. cockroach

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Main (Archive)
  1. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  2. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  3. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  4. AB is a vertical pole with B at the ground level and and A at the top ...

    Text Solution

    |

  5. A tower stands at the centre of a circular park . A and B are two poin...

    Text Solution

    |

  6. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  7. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  8. A person standing on the bank of a river observes that the angle of ...

    Text Solution

    |

  9. The sides of a triangle are sin alpha, cos alpha, sqrt(1+sin alpha cos...

    Text Solution

    |

  10. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

    Text Solution

    |

  11. In a triangle ABC, medians AD and BE are drawn. If AD=4, angleDAB=(pi)...

    Text Solution

    |

  12. Find the sum of the radii of the circles, which are respectively inscr...

    Text Solution

    |

  13. In a triangle, if r(1) gt r(2) gt r(3), then show a gtb gt c.

    Text Solution

    |

  14. Consider a triangular plot ABC with sides AB = 7 m, BC = 5m and CA = 6...

    Text Solution

    |

  15. With the usual notation in DeltaABC if angleA+angle B=120^(@),a=sqrt...

    Text Solution

    |

  16. Given (b+c)/(11) = (c+a)/(12) = (a+b)/(13) for a Delta ABC with usu...

    Text Solution

    |

  17. If the angle of elevation of a cloud from a point P which is 25 m abov...

    Text Solution

    |

  18. If the lengths of the sides of a triangle are in A.P. and the greatest...

    Text Solution

    |

  19. Two vertical poles of heights, 20 m and 80 m stand apart on a horizont...

    Text Solution

    |

  20. Two poles standing on a horizontal ground are of heights 5 m and 10 m ...

    Text Solution

    |