Home
Class 11
MATHS
If tan A and tan B are the roots of abx^...

If tan A and tan B are the roots of `abx^2- c^2x + ab= 0`, where a, b, c are the sides of the tnangle ABC, then the value of `sin^2 A + sin^2 B + sin^2 C` is :

A

1

B

3

C

4

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Prove that a^(2)+ b^(2) +c^(2) +2abclt2, where a,b,c are the sides of triangle ABC such that a+b+c=2.

If tan x=b/a , then the value of a cos 2x+b sin 2x is :

If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4 where a, b, c , are the sides of Delta ABC",then" Delta ABC is

In any triangle ABC, prove that : b^2 sin 2C + c^2 sin 2B = 2 bc sin A .

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

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

In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C , then the triangle is

If A, B, C are angles of triangle ABC and a, b, c are lengths of the sides opposite to A, B, C respectively, then show that : a (sin B - sin C)+ b (sin C- sin A)+c (sin A -sin B)= 0 .

If A, B, C are interior angles of triangle ABC, prove that :- sin((A+C)/2)=cos (B/2) .

If A, B, C are interior angles of triangle ABC, prove that :- cos((B+C)/2)=sin(A/2) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

    Text Solution

    |

  2. If sin A- sqrt6 cos A= sqrt7 cosA, then: cosA+ sqrt6 sinA is equal to...

    Text Solution

    |

  3. If tan A and tan B are the roots of abx^2- c^2x + ab= 0, where a, b, c...

    Text Solution

    |

  4. In a Delta ABC, if a =3, b=4, c=5, then find the distance between its ...

    Text Solution

    |

  5. In triangle ABC the value of (cot frac (A)(2) cot frac (B)(2)-1) /(cot...

    Text Solution

    |

  6. In a triangle ABC if angle A= 60^@,a=5,b= 4, then c is a root of the e...

    Text Solution

    |

  7. From the top of a tower, the angle of depression of a point on the gro...

    Text Solution

    |

  8. If alpha and beta satisfying 2 sec2 alpha = tan beta + cot beta, then ...

    Text Solution

    |

  9. Value of 1 + cos 56^@+ cos 58^@ - cos 66^@ is:

    Text Solution

    |

  10. Value of cos^2(A - B) + cos^2 B - 2 cos (A-B) cos Acos B is:

    Text Solution

    |

  11. The co-ordinates of the incentre of the triangle having sides 3x - 4y ...

    Text Solution

    |

  12. If 1 + sin x+ sin^2 x+.... up to oo=4+2 sqrt3, 0ltxlt pi and x ne pi/2...

    Text Solution

    |

  13. Which one of the following is possible ?

    Text Solution

    |

  14. If one side of a triangle is double the other and the angles opposite ...

    Text Solution

    |

  15. Find the value of 3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6...

    Text Solution

    |

  16. A horse is tied to post by a rope. If the horse moves along circular p...

    Text Solution

    |

  17. Prove that the minimum value of 3 cosx+4 sin x + 5 is 0.

    Text Solution

    |

  18. Equation cos 2x + 7 = a (2-sin x) can have a real solution for :

    Text Solution

    |

  19. Number of solutions of |x-1| = cos x is:

    Text Solution

    |

  20. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

    Text Solution

    |