Home
Class 14
MATHS
a, b, c are the lengths of three sides o...

a, b, c are the lengths of three sides of a `DeltaABC`. If a, b, c are related by the relation `a^(2)+b^(2)+c^(2)=ab+bc+ca`, then the value of `(sin^(2)A+sin^(2)B+sin^(2)C)` is

A

`(3)/(4)`

B

`(3)/(2)`

C

`(3sqrt3)/(2)`

D

`(9)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise Questions|47 Videos
  • GEOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|158 Videos

Similar Questions

Explore conceptually related problems

In a DeltaABC , if a b and c are in AP ,then the value of ("sin"(A)/(2)"sin"(C)/(2))/("sin"(B)/(2)) is

If a,b,c are the lengths of the sides of a triangle,then the range of (ab+bc+ca)/(a^(2)+b^(2)+c^(2))

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

If a^(2) +b^(2) +c^(2) = ab + bc + ca then (c )/(a+b) + (b)/(a +c)+ (c )/(a+b) = ?

lf in DeltaABC,b^(2)sin 2C + c^(2) sin 2B = 2bc,then the triangle is

In any DeltaABC, sum a^(2) (sin^2 B - sin^2 C) =

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-FREE MATHS LIVE MOCK 20-MULTIPLE CHOICE QUESTIONS
  1. A person bought a motorbike under the following scheme: Down payment o...

    Text Solution

    |

  2. Find ( sin theta - sin 3 theta )/( sin^(2) theta - cos^(2) theta)

    Text Solution

    |

  3. a, b, c are the lengths of three sides of a DeltaABC. If a, b, c are r...

    Text Solution

    |

  4. The weight of three heaps of gold are in the ratio 5 : 6 : 7. By what ...

    Text Solution

    |

  5. A completes (2)/(3) of a certain job in 6 days. B can complete (1)/(3)...

    Text Solution

    |

  6. Two cars started simultaneously towards each other from town A and B t...

    Text Solution

    |

  7. A man bought an article and sold it at a gain of 5%. If he had bought ...

    Text Solution

    |

  8. In the given figure, AD is the bisector of angleBAC,AB=6cm,AC=5cm and ...

    Text Solution

    |

  9. In figure, if AB = a, calculate the area of triangle ADC (angleB=90^(@...

    Text Solution

    |

  10. If a+(1)/(a)+1=0,(ane0), then the value of (a^(5)-a^(2)) is

    Text Solution

    |

  11. If the radii of two circles be 8 cm and 4 cm and the length of the tra...

    Text Solution

    |

  12. If 2x = sqrt(a) - (1)/(sqrt(a)) , then the value of (sqrt(x^(2) + 1)...

    Text Solution

    |

  13. The difference between the time taken by two buses to travel a distanc...

    Text Solution

    |

  14. If a^(x)=b^(y)=c^(z) and abc=1, then find ((x^(2))/(x^(2)-zy)+(y^(2))/...

    Text Solution

    |

  15. In DeltaABC,AB=AC and AC=CD,angleB=80^(@) then angleADE=?

    Text Solution

    |

  16. If bc + ab + ca = abc, then the value of (b+c)/(bc(1-a))+(a+c)/(ac(1-b...

    Text Solution

    |

  17. Simplify (sintheta+sectheta)^(2)+(costheta+cosectheta)^(2).

    Text Solution

    |

  18. If (x+1)/(x-1)=a/b and (1-y)/(1+y)=b/a , then the value of (x-y)/(1...

    Text Solution

    |

  19. A reduction of Rs.1 per dozen in the price of eggs means that a dozen ...

    Text Solution

    |

  20. If cos e ctheta-sintheta=ma n dsectheta-costheta=n , prove that (m^(2n...

    Text Solution

    |