Home
Class 12
MATHS
If in a triangle ABC, triangle = a^(2) -...

If in a triangle ABC, `triangle = a^(2) - (b-c)^(2)`, then tanA is equal to

A

`15/16`

B

`8/15`

C

`8/17`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
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 area of triangleABC is triangle =a^(2) -(b-c)^(2) , then: tanA =

In a triangle ABC, if 2a cos ((B-C)/(2))=b+c , then secA is equal to :

In a triangle ABC, if 2 a cos ( B − C 2 ) = b + c , then secA is equal to :

In a triangle ABC , (a^2-b^2-c^2) tan A +(a^2-b^2+c^2) tan B is equal to

In a triangle ABC , if b^2 + c^2 = 3a^2 , then cotB + cotC-cotA is equal to

In a triangle ABC, if sin A sin B= (ab)/(c^(2)) , then the triangle is :

In any triangle ABC, if 2Delta a-b^(2)c=c^(3) , (where Delta is the area of triangle), then which of the following is possible ?

In a triangle A B C ,\ (a^2-b^2-c^2)tanA+(a^2-b^2+c^2)tanB is equal to (a^2+b^2-c^2)tanC (b) (a^2+b^2+c^2)tanC (b^2+c^2-a^2)tanC (d) none of these

In any triangle ABC , (tan(A/2)-tan(B/2))/(tan(A/2)+tan(B/2)) is equal to

In triangle ABC,angleA=pi/2b=4,c=3 ,then the value of R/r is equal to

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. In any triangle ABC b^(2)sin2C+c^(2)sin2B=

    Text Solution

    |

  2. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

    Text Solution

    |

  3. If in a triangle ABC, triangle = a^(2) - (b-c)^(2), then tanA is equal...

    Text Solution

    |

  4. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

    Text Solution

    |

  5. In a triangle, the lengths of the two larger sides are 10 and 9, res...

    Text Solution

    |

  6. There exist a triangle ABC satisfying

    Text Solution

    |

  7. In a triangle, the length of two larger sides are 24 and 22 respective...

    Text Solution

    |

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

    Text Solution

    |

  9. If twice the square of the diameter of the circle is equal to half the...

    Text Solution

    |

  10. In triangle ABC, angle A is greater than angle B. If the measure of an...

    Text Solution

    |

  11. (2cosA)/(a) + (cosB)/b + (2cosC)/c=a/(ac) + b/(ca), then the values of...

    Text Solution

    |

  12. If Agt0,Bgt0and A+B=(pi)/(6), then the minimum value of tan A+tanB, is

    Text Solution

    |

  13. If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P.,then costhe...

    Text Solution

    |

  14. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta...

    Text Solution

    |

  15. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  16. If in a triangleABC , (sinA+sinB+sinC)(sinA+sinB-sinC)=3sinAsinB the...

    Text Solution

    |

  17. In a Delta ABC, sin A + sin B + sin C = 1 + sqrt(2) and cos A+cos B+co...

    Text Solution

    |

  18. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

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

    Text Solution

    |

  20. If A+ B+ C=pi, nin Z,then tan nA+ tan +nB +tan nC is equal to

    Text Solution

    |