Home
Class 11
MATHS
In a Delta ABC...

In a `Delta ABC`

A

`sinAsinBsinCle(3sqrt3)/8`

B

`sin^2A+sin^2B+sin^2Cle9/4`

C

sinAsinBsinC is always positive

D

sin^2(A)+sin^2(B)<1+cosC

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

I is the incentre of Delta ABC , Produced AI bisects BC at D. Prove that Delta ABC is isosceles.

In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0) then centroid of Delta ABC is.

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

In Delta ABC, /_B = 90^@ If AB = BC then prove /_C= 45^@

If the perimeter of the triangle formed by feet of altitudes of the triangle ABC is equal to four times the circumradius of Delta ABC , then identify the type of Delta ABC

(iv) The centroid of the Delta ABC is G, If the area of the Delta GBC be 12 Sq. cm, the area of the Delta ABC is

(v) Delta ABC is equilateral and AD is a median of it. If G be the centroid of Delta ABC and GD=10 cm. find the length of GB.

Delta ABC ~ Delta DEF . BC = 3cm, EF = 4cm and area of Delta ABC = 54 cm^(2) . Determine the area of Delta DEF .

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If 7cosx-24sinx=dcos(x+alpha), oltalphaltpi/2, be true for all x in R,...

    Text Solution

    |

  2. Prove that abs(sinthetasin(60^@-theta)sin(60^@+theta)) le1/4 for all v...

    Text Solution

    |

  3. In a Delta ABC

    Text Solution

    |

  4. In a triangle tanA+tanB+tanC=6 and tanAtanB=2, then the values of tanA...

    Text Solution

    |

  5. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  6. If tanalpha and tanbeta are the roots of the equation x^2+px+q=0 (pne0...

    Text Solution

    |

  7. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  8. Let f(theta, alpha)= 2sin^2theta+4cos(theta+alpha)sintheta.sinalpha+co...

    Text Solution

    |

  9. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  10. Let f(theta) = sqrt(a^2cos^2theta+b^2sin^2theta) + sqrt(a^2sin^2theta+...

    Text Solution

    |

  11. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  12. If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...

    Text Solution

    |

  13. Match List - I with List-II

    Text Solution

    |

  14. Match List - I with List-II

    Text Solution

    |

  15. If cosx+sinx=sqrt2cosx and cosx-sinx=k.sinx, then k^2=?

    Text Solution

    |

  16. If sintheta+costheta=1, then find the minimum value of (1+sectheta)(1+...

    Text Solution

    |

  17. If M be the maximum value of 1+2sinx+3cosx, then 3M-10 is equal to

    Text Solution

    |

  18. If 4nalpha=pi, then the numerical value of tanalpha, tan2alpha,tan3alp...

    Text Solution

    |

  19. If alpha=pi/15 and cos2alphacos4alphacos8alphacos14alpha=lambda then 2...

    Text Solution

    |

  20. 0ltxltpi/4 and pi/4 < y < pi/2 and underset(k=0)oversetinftysum(-1)^kt...

    Text Solution

    |