Home
Class 12
MATHS
If alpha, beta, gamma be angles which a ...

If `alpha, beta, gamma` be angles which a straighat line makes with the positive direction of the axes, then `sin^2 alpha+sin^2beta+sin^2gamma` is equal to (A) 4 (B) 1 (C) 2 (D) 3

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta , gamma are the angles which a directed line makes with the positive directions of the co-ordinates axes,then sin^(2)alpha+sin^(2)beta+sin^(2)gamma is equal to

If alpha+beta+gamma are the angle which a half ray makes with the positive direction of the axes then sin^2alpha+sin^2beta+sin^2gamma= (A) 1 (B) 2 (C) 0 (D) -1

If a line makes angles alpha,beta,gamma with the positive direction of coordinate axes,then write the value of sin^(2)alpha+sin^(2)beta+sin^(2)gamma

If alpha+beta-gamma=pi , then sin^(2)alpha=sin^(2)beta-sin^(2)gamma is equal to

If alpha,beta,gamma are the angles which a line makes with OX,OY and OZ , then sin^(2)alpha + sin ^(2) beta+ sin^(2) gamma

If a line makes angles alpha , beta ,gamma with coordinate axes , then sin ^2 alpha +sin^2 beta + sin^2 gamma ………

If alpha, beta, gamma are the angles which a line makes with the coordinate axes ,then (A) sin^2alpha=cos^2beta+cos^2gamma (B) cos^2alpha+cos^2beta+cos^2gamma=2 (C) cos^2alpha+cos^2beta+cos^2gamma=1 (D) sin^2alpha+sin^2beta=1+cos^2gamma

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that sin^2alpha+sin^2beta+sin^2gamma=2

RESONANCE DPP-JEE MAINS-All Questions
  1. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

    Text Solution

    |

  2. If A={x:x^(2)-5x+6=0},B={2,4},C={4,5} then find Axx(BnnC)

    Text Solution

    |

  3. If alpha, beta, gamma be angles which a straighat line makes with the ...

    Text Solution

    |

  4. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

    Text Solution

    |

  5. lim(x->c) (loge[x])/x where [.] denotes the gif is

    Text Solution

    |

  6. The value of ("lim")(xvec0)(e^(2x)-cos x-"ln"(1+2x))/(xtanx-sinx)i s ...

    Text Solution

    |

  7. alpha,beta,gammaa n ddelta are the smallest positive angle in ascendin...

    Text Solution

    |

  8. Consider the function f defined by f(x)=(0,x=0 or x is irrational 1/...

    Text Solution

    |

  9. if m belongs to [-1,0], then prove that the equation sin^4 x+ (m+1) si...

    Text Solution

    |

  10. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  11. Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in ...

    Text Solution

    |

  12. ("lim")(nvecoo)[sum(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equ...

    Text Solution

    |

  13. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  14. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concur...

    Text Solution

    |

  15. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  16. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0...

    Text Solution

    |

  17. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

    Text Solution

    |

  18. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  19. The roots of the equation x^(5)-40x^(4)+ax^

    Text Solution

    |

  20. The equatio of a circel touching the coordinate axes and the line 3x -...

    Text Solution

    |