Home
Class 12
MATHS
If for a triangle ABC, |(1,a,b),(1,c,a),...

If for a triangle ABC, `|(1,a,b),(1,c,a),(1,b,c)|=0` then the value of ` sin^(2)A+sin^(2)B+sin^(2)C` is -

A

`(4)/(9)`

B

`(9)/(4)`

C

1

D

`(3sqrt(3))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 2|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, if a^(2) + b^(2) +c^(2) -bc -ca -ab=0, then the value of sin ^(2)A+ sin ^(2)B+sin ^(2)C is -

ABC is a right angled triangle, then the value of sin^(2)A + sin^(2)B + sin^(2)C will be-

In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

If in triangle A B C ,/_C=45^0 then find the range of the values of sin^2A+sin^2Bdot

If A+C=2b, then the value of (cos C - cos A)/(sin A-sin C) is-

In triangle ABC if sin^2B+sin^2C=sin^2A then

In a triangle ABC, if the sides are a=3, b=5, c=4, thenb the value of (sin ""B/2+ cos ""B/2) is equal to-

If A,B,C are the angles of a triangle, show that that greatest value of sin 2A+ sin 2B+ sin 2C "is" (3 sqrt(3))/(2)

If the incircle of the triangle ABC passes through its circumcenter, then find the value of 4 sin.(A)/(2) sin.(B)/(2) sin.(C)/(2)

(i) If in a triangle ABC, a^(4) + b^(4) +c^(4) - 2b^(2) c^(2) -2c^(2)a^(2)=0 , then show that, C=45^(@) or 135^(@) . (ii) In in a triangle ABC, sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2sin^(2) C sin^(2)A + 2sin^(2)A sin^(2)B , show that, one of the angles of the triangle is 30^(@) or 150^(@)

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
  1. If a, b, c, d , e and f are in G.P. then the value of |("a"^(2),"d"^(...

    Text Solution

    |

  2. If a, b, c are respectively the p-th, q-th, r-th terms of an A.P. th...

    Text Solution

    |

  3. If for a triangle ABC, |(1,a,b),(1,c,a),(1,b,c)|=0 then the value of ...

    Text Solution

    |

  4. If the points with position vectors 10hati+3hatj, 12 hati-5hatj and p...

    Text Solution

    |

  5. If ABCDEF be a regular hexagon then (vec(AD)+vec(EB)+vec(FC)) is equa...

    Text Solution

    |

  6. The value of cos[cos^(-1)(-(1)/(7))+sin^(-1)(-(1)/(7))] is -

    Text Solution

    |

  7. The vector equation of yz-plane is -

    Text Solution

    |

  8. The foot of the perpendicular drawn from the origin to a plane is (2,...

    Text Solution

    |

  9. The direction cosines of the line (x+3)/(2)=(2y-3)/(-3)=(z-1)/(0) are...

    Text Solution

    |

  10. Let f(x)=a^(x)(a gt 0) be written as f(x)=g(x)+h(x) where g(x) is an e...

    Text Solution

    |

  11. The area of the parallelogram formed by the vectors 3hati-2hatj+hatk ...

    Text Solution

    |

  12. If veca=2hati-5hatj+4hatk and vecb=hati-4hatj+6hatk, then a unit v...

    Text Solution

    |

  13. If veca+vecb+vec c=vec0 and |veca|=3,|vecb|=5 and |vec c|=7, then the ...

    Text Solution

    |

  14. If vec alpha, vec beta, vecgamma be three unit vectors such that |ve...

    Text Solution

    |

  15. If veca=2hati+5hatj+7hatk and vecb=hati-hatj+5hatk, then the vecor co...

    Text Solution

    |

  16. The image of the point (-3, 5, 2) in the plane 2x-y+z+3=0 is -

    Text Solution

    |

  17. The equation of the plane passing through the points (1, -1, 2) and (2...

    Text Solution

    |

  18. The values of x, at which the first derivative of the function (x+(1)...

    Text Solution

    |

  19. If f(x)=sin3x cos4x, then the value of f''((pi)/(2)) is -

    Text Solution

    |

  20. Let f(x) be a differentiable even function, consider the following sta...

    Text Solution

    |