Home
Class 12
MATHS
If the line x=y=z intersect the line sin...

If the line `x=y=z` intersect the line `sin Adotx+sin Bdoty+sin Cdotz=2d^2,sin2Adotx+sin2Bdoty+sin2Cdotz=d^2,` then find the value of `sinA/2dotsinB/2dotsinC/2w h e r eA ,B ,C` are the angles of a triangle.

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the minimum values of: "sin" ^(2) (A)/(2)+"sin"^(2)(B)/(2) +"sin" (C)/(2) where A,B,C are the angles of a triangle.

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)

If sin^(2)B+ sin^(2)C = sin^(2)A , then the triangle ABC is-

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

If cos(A+B+C)=cosAcosBcosC , then find the value of (8sin(B+C)sin(C+A)sin(A+B))/(sin2Asin2Bsin2C)

Prove that in a A B C ,sin^2A+sin^2B+sin^2C<=9/4dot

If in a triangle ABC, sin^2A+sin^2B+sin^2C=2 then the triangle is always

In quadrilateral A B C D , if sin((A+B)/2)cos((A-B)/2)+"sin"((C+D)/2)cos((C-D)/2)=2 then find the value of sinA/2sinB/2sinC/2sinD/2dot

Find the derivatives w.r.t. x : sin x sin 2x sin 3x

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

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Reduce the equation of line x-y+2z=5 and 3x+y+z=6 in symmetrical for...

    Text Solution

    |

  2. Find the angle between the lines x-3y-4=0,4y-z+5=0a n dx+3y-11=0,2y+...

    Text Solution

    |

  3. If the line x=y=z intersect the line sin Adotx+sin Bdoty+sin Cdotz=2d^...

    Text Solution

    |

  4. The point of intersecting of the line passing through (0, 0, 1) and in...

    Text Solution

    |

  5. A horizontal plane 4x-3y+7z=0 is given. Find a line of greatest slope ...

    Text Solution

    |

  6. Find the equation of the plane passing through the points (-1,1,1) and...

    Text Solution

    |

  7. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  8. If a plane meets the equations axes at A ,Ba n dC such that the centro...

    Text Solution

    |

  9. Find the equation of the plane which is parallel to the lines vec ...

    Text Solution

    |

  10. Show that the plane whose vector equation is vec r . (hat i +2 hat ...

    Text Solution

    |

  11. Find the vector equation of the following planes in Cartesian form:...

    Text Solution

    |

  12. Show that the line of intersection of the planes vec r.( hat i+2 ha...

    Text Solution

    |

  13. Find the equation of the plane such that image of point (1,2,3) in ...

    Text Solution

    |

  14. The foot of the perpendicular drawn from the origin to a plane is (...

    Text Solution

    |

  15. Find the angle between the planes 2x+y-2z+3=0a n d 6x−2y+3z=5

    Text Solution

    |

  16. Find the equation of the plane passing through (3,4,-1), which is p...

    Text Solution

    |

  17. Find the distance of the point (-1,-5,-10) from the point of int...

    Text Solution

    |

  18. Find the equation of the plane passing through the point (-1,3,2) an...

    Text Solution

    |

  19. Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the pla...

    Text Solution

    |

  20. Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and t...

    Text Solution

    |