Home
Class 12
MATHS
In DeltaABC,sin^2""A/2+sin^2""B/2+sin^2"...

In `DeltaABC,sin^2""A/2+sin^2""B/2+sin^2""C/2=`

A

`1/r-1/(2R)`

B

`1+r/R`

C

`2+r/(2R)`

D

`1-r/(2R)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET 1|10 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|177 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC, if sin^2""A/2, sin^2""B/2,sin^2""C/2 are in H.P, then a,b,c in

If A, B, C are angles of a triangle, then prove that sin^(2)""A/2+sin^(2)""B/2-sin^(2)""C/2=1-2cos""A/2cos""B/2sin""C/2 .

In Delta ABC, if a sin^2""C/2+c sin^2""A/2 in terms of s,a,b,c is

In Delta ABC, R^2 (sin 2A+ sin 2B+ sin 2C)=

In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

In DeltaABC,(sin 2A+ sin 2B+ sin 2C)/(sin A + sin B+ sin C)=

If A+B+C=180^(@) " then " sin^(2)""(A)/(2)+sin^(2)""(B)/2+sin^(2)""(C)/(2)=

In Delta ABC, if sin^2 A+sin^2 B=sin^2 C , then C=

If A+B+C=180^@ " then " sin^(2)""(A)/(2)-sin^(2)""(B)/(2)+sin^(2)""(C)/(2)=

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1B
  1. In DeltaABC,acotA+bcotB+c cotC=

    Text Solution

    |

  2. In DeltaABC,cos^2""A/2+cos^2""B/2+cos^2""C/2=

    Text Solution

    |

  3. In DeltaABC,sin^2""A/2+sin^2""B/2+sin^2""C/2=

    Text Solution

    |

  4. The length of the sides of the extriangle of an equilateral triangle i...

    Text Solution

    |

  5. The distance between orthocentre and circumcentre of an equilateral tr...

    Text Solution

    |

  6. The distance between orthocentre and circumcentre of an equilateral tr...

    Text Solution

    |

  7. If Delta ABC is an equilateral triangle , then the ratio of the area o...

    Text Solution

    |

  8. The ratio of circum radii of a triangle to its pedal triangle is

    Text Solution

    |

  9. IF Delta ABC, is an equilateral triangle, then ratio of the sides of t...

    Text Solution

    |

  10. The distance of the orthocentre from the vertices A,B,C are in the rat...

    Text Solution

    |

  11. In a triangle ABC let angle C=pi//2. If r is the inradius and R is the...

    Text Solution

    |

  12. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

    Text Solution

    |

  13. In Delta ABC, if C=90^@ then r r3=

    Text Solution

    |

  14. In Delta ABC, if C=90^@ then 2(r+R)=

    Text Solution

    |

  15. In Delta Abc, if A=90^@ then r2+r3=

    Text Solution

    |

  16. In DeltaABC, if A=90^@then(1-r1/r2)(1-r1/r3)=

    Text Solution

    |

  17. In DeltaABC,r1/((s-b)(s-c))=

    Text Solution

    |

  18. In DeltaABC,sum(r+r1)tan((B-C)/2)=

    Text Solution

    |

  19. In DeltaABC,if(1-r1/r2)(1-r1/r3)=2 then the triangle is

    Text Solution

    |

  20. In DeltaABC, if (r1-r2)(r3-r2)=2r1r3, then triangle is

    Text Solution

    |