Home
Class 12
MATHS
If the ex-radii of a triangle are in H.P...

If the ex-radii of a triangle are in H.P.,then the corresponding sides are in

A

A.P.

B

G.P.

C

H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If the altitudes of a triangle are in A.P,then the sides of the triangle are in

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.

Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?

Side Side Side(SSS) Congruence : Two triangles are congruent if the three sides of one triangle are equal to the corresponding three sides of the other triangle.

Theorem 6.3 : If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.

If two sides and a median bisecting the third side of a triangle ar respectively proportional to the corresponding sides and median of the other triangle; then the two triangles are similar.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 5cm and 4cm. Then construct another triangle whose sides are 5//3 times the corresponding sides of the given triangle.

Fill in the blanks using the correct word given in brackets: Two triangles are similar, if their corresponding angles are ...... (proportional, equal) Two triangles are similar, if their corresponding sides are ....... (proportional, equal) (iii) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ........ (equal, proportional).

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

    Text Solution

    |

  2. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

    Text Solution

    |

  3. If a DeltaABC is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  4. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

    Text Solution

    |

  5. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

    Text Solution

    |

  6. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

    Text Solution

    |

  7. If I is the incentre of a !ABC , then IA:IB:IC is equal to

    Text Solution

    |

  8. In a triangle ABC ,the HM of the ex-radii is equal to

    Text Solution

    |

  9. In a DeltaABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

    Text Solution

    |

  10. If in a !ABC,angleA=pi//3 and AD is a median , then

    Text Solution

    |

  11. In a triangle ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

    Text Solution

    |

  12. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

    Text Solution

    |

  13. In a DeltaABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

    Text Solution

    |

  14. In a △ ABC if a =26, b= 30 and cos C =63/65, then r(2) =

    Text Solution

    |

  15. In a triangle ABC if sides a = 13, b =14 and c = 15, then reciprocals...

    Text Solution

    |

  16. In a A B C , ifsinAa n dsinB are the roots of the equation c^2x^2-c(a...

    Text Solution

    |

  17. If a , b , c denote the sides of a !ABC such that the equation x^(2)+...

    Text Solution

    |

  18. In a Delta ABC if b+c=2a and /A=60^@ then Delta ABC is

    Text Solution

    |

  19. In a Delta ABC, if b=20, c=21and sin A =3/5, then the value of a is

    Text Solution

    |

  20. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |