Home
Class 12
MATHS
If a line makes angles theta(1), theta(2...

If a line makes angles `theta_(1), theta_(2), theta_(3)` with the coordinates planes, then `sin^(2)theta_(1)+sin^(2)theta_(2)+sin^(2)theta_(3)=`………….

A

1

B

2

C

`-1`

D

3

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If the line passing through origin makes angles theta_(1), theta_(2), theta_(3) with the planes XOY, YOZ and ZOX, then sin^(2)theta_(1)+sin^(2)theta_(2)+sin^(2)theta_(3)=

If the line vec(OR) makes angles theta_(1),theta_(2),theta_(3) with the planes XOY, YOZ, ZOX respectively , then cos^(2)theta_(1)+cos^(2)theta_(2)+cos^(2)theta_(3) is equal to

If cos theta_(1)+cos theta_(2)+cos theta_(3)=3 then sin^(2)theta_(1)+sin^(4)theta_(2)+sin^(6)theta_(3)=

sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

If cos theta_(1)+cos theta_(2)+cos theta_(3)=-3 then the value of sin((theta_(1))/(2))+sin((theta_(2))/(2))+sin((theta_(3))/(2))=

If cos theta+cos^(2)theta=1 then sin^(2)theta+2sin^(2)theta+sin^(2)theta=

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta cos^(2)theta

If sin theta_(1)+sin theta_(2)+sin theta_(3), then find the value of cos theta_(1)+cos theta_(2)+cos theta_(3)

Prove that sin^(6)theta+cos^(6)theta=1-3sin^(2)theta.cos^(2)theta.

1+sin^(2)theta=3sin theta cos theta

MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  2. If |bar(u)|=2 and bar(u) makes angles of 60^(@) and 120^(@) with OX a...

    Text Solution

    |

  3. If a line makes angles theta(1), theta(2), theta(3) with the coordinat...

    Text Solution

    |

  4. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

    Text Solution

    |

  5. If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors...

    Text Solution

    |

  6. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  7. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

    Text Solution

    |

  8. What is the angle between the two lines whose direction numbers are (s...

    Text Solution

    |

  9. If the line of the vector bar (r ) = lambda I + 2j - k makes angles a...

    Text Solution

    |

  10. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  11. The projection of the line segment joining the points A(-1,0,3) and B(...

    Text Solution

    |

  12. Direction Cosines of a normal to the XOY - plane are

    Text Solution

    |

  13. If the direction cosines of a line are 1/c,1/c,1/c rthen (A) c.0 (B) 0...

    Text Solution

    |

  14. A mirror and a source of light are situated at the origin O and at a...

    Text Solution

    |

  15. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  16. The graph of the equation x^2+y^2=0 in the three dimensional space is ...

    Text Solution

    |

  17. If the line OP of length r makes an angle alpha with the X - axis , an...

    Text Solution

    |

  18. l = m = n = 1 are the direction Cosines of

    Text Solution

    |

  19. STATEMENT-1 : The direction ratios of a line joining the points (0, 0,...

    Text Solution

    |

  20. Co - ordinates of the foot of the perpendicular from the point (a,b,c)...

    Text Solution

    |