Home
Class 11
MATHS
If the area of a triangle satisfies the ...

If the area of a triangle satisfies the relation `Delta =a^2 -(b-c)^2`, then `tan (A//2)`=

A

`-1`

B

0

C

`1//4`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II) (LEVEL-II) (Straight Objective Type Questions)|39 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)|42 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL-II) (Linked Comprehension Type Questions)|3 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

If the sines of the angle A and B of a triangle ABC satisfy the equation c^(2)x^(2) - c(a + b) x + ab = 0 . Then the triangle

If the tangents of the angles A and B of triangle ABC satisfy the equation abx^(2)-c^(2)x+ab=0 , then

If the angles alpha, beta, gamma of a triangle satisfy the relation, sin ((alpha - beta)/(2)) + sin ((alpha - gamma )/(2)) + sin (( 3 alpha )/(2)) = 3/2, then The measure of the smallest angle of the triangle is

The side of triangle ABC satisfy the relation a + b - c = 2 " and " 2ab - c^(2) = 4 , then square of the area of triangle is :

Area of triangle ABC is a^(2) - (b-c)^(2) then tan A =

If Delta is the area of a triangle with side lengths a , b , and c , then

If the area of triangle ABC is b^(2) - (c - a)^(2) then tan B=

If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradius R=

IF the area of the triangle ABC is a^2-(b-c)^2 , then its circumradius R=

If the area of the triangle whose vertices are (b, c) (c, a) (a, b) is p then the area of the triangle whose vertices (ac-b^(2), ab-c^(2))(ab-c^(2), bc-a^(2)) and (bc-a^(2), ac-b^(2)) is

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-II) (LEVEL-I)
  1. In a DeltaABC,(a+b+c)(tan""A/2+tan""B/2)=

    Text Solution

    |

  2. In Delta ABC,if 3a=b+c, then cot""B/2.cot""C/2=

    Text Solution

    |

  3. If the area of a triangle satisfies the relation Delta =a^2 -(b-c)^2, ...

    Text Solution

    |

  4. In DeltaABC, 4R "cos"(A)/(2)"cos"(B)/(2)"cos"(B)/(2)=

    Text Solution

    |

  5. In DeltaABC, the value of ("cot"(A)/(2)"cot"(B)/(2)-1)/("cot"(A)/(2)"c...

    Text Solution

    |

  6. a cos ^(2) "" ( A) /(2) + b cos ^(2) "" ( B)/(2) = c cos ^(2) "" ( C...

    Text Solution

    |

  7. In Delta ABC, if cot""A/2:cot""B/2:cot""C/2=3:7:9, then a:b:c=

    Text Solution

    |

  8. In a=5,b=4 and cos(A-B)=(31)/(32) then tan C/2.

    Text Solution

    |

  9. If Delta =a^2-(b-c)^2, is the area of the triangle ABC, then tan A=

    Text Solution

    |

  10. In Delta ABC tan "" ( A)/(2) = ( 5)/( 6) , tan "" ( C )/(2) = (2)/(5...

    Text Solution

    |

  11. If the sides of a triangle are 5, 7, 8 then its area is

    Text Solution

    |

  12. In Delta ABC, if c^2=a^2+b^2,2s=a+b+c, then 4s(s-a)(s-b)(s-c)=

    Text Solution

    |

  13. If Delta is the area of triangle whose sides are a,b,c then the area o...

    Text Solution

    |

  14. if (2)/(5)(y)/(z)+(2)/(5)(z)/(x)+(2)/(5)(x)/(y),(2)/(5)(x)/(y)+(2)/(5)...

    Text Solution

    |

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

    Text Solution

    |

  16. In Delta ABC, if a= 2, B=120^@, C=30^@, then the area of the triangle ...

    Text Solution

    |

  17. P is any point inside a Delta^("le")ABC. lines are drawn through P pa...

    Text Solution

    |

  18. If DeltaABC, if "cos"(A)/(2)= sqrt((b+c)/(2c)) then

    Text Solution

    |

  19. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

    Text Solution

    |

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

    Text Solution

    |