Home
Class 12
MATHS
A line line makes the same angle theta w...

A line line makes the same angle `theta` with each of the `x` and z-axes. If the angle `beta`, which it makes with y-axis, is such that `sin^(2)beta=3sin^(2)theta` then `cos^(2)theta` equals

A

`2/3`

B

`1/5`

C

`3/5`

D

`2/5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recent IIT questions

    A DAS GUPTA|Exercise Exercise|20 Videos

  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

A line makes an angel theta with each of the x-and z-axes.If the angel beta, which it makes with the y-axis,is such that sin^(2)beta=3sin^(2)theta, then cos^(2)theta equals a.(2)/(3) b.(1)/(5) c.(3)/(5) d.(2)/(5)

A line makes the same angle theta with X-axis and Z-axis. If the angle beta , which it makes with Y-axis, is such that sin^2(beta)=3sin^2theta , then the value of cos^2(theta) is

A line makes the same angle alpha with each of the x and y axes. If the angle theta , which it makes with the z-axis, is such that sin^2theta=2sin^2alpha , then what is the value of alpha ?

A line makes the same angle theta with each of the X - axis and Z - axis.It makes beta angle with Y -axis such that sin^(2) beta=3sin^(2) theta then cos^(2) theta=

A line makes an angle theta with the x-axis and the y-axis. If it makes an angle alpha with the z - axis such that sin^(2)alpha= 3sin^(2)theta , then cos ^(2)theta is equal to

If a line makes an angle of pi/4 with each of Y and Z-axes , then the angle which it makes with X-axis is

A straight line which makes an angle of 60^@ with each of Y and Z-axis, the angle this lines makes with X-axis is

A DAS GUPTA-Screening Tests-Exercise
  1. If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to

    Text Solution

    |

  2. An infinite G.P has first term x and sum 5 then x belongs to ?

    Text Solution

    |

  3. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  4. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  5. If (n-1)Cr=(k^2-3)nC(r+1),then k belong to

    Text Solution

    |

  6. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  7. If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the an...

    Text Solution

    |

  8. Let f(x) be a strictly increasing and differentiable function, then li...

    Text Solution

    |

  9. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  10. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |

  11. Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k, then

    Text Solution

    |

  12. The area enclosed between the curves y=ax^2 and x=ay^2(a > 0) is 1 sq....

    Text Solution

    |

  13. lim(nrarroo) sum(r=1)^n 1/n e^(r/n) is (A) 1-e (B) e-1 (C) e (D) e+1

    Text Solution

    |

  14. The angle between the tangents drawn from the point (1,4) to the par...

    Text Solution

    |

  15. A variable circle passes through the fixed point A(p,q) and touches t...

    Text Solution

    |

  16. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  17. A line line makes the same angle theta with each of the x and z-axes....

    Text Solution

    |

  18. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

  19. If vec a , vec b ,a n d vec c be non-zero vectors such that no tow...

    Text Solution

    |

  20. Let v=2 vec i+vec j-vec k, w=vec i+ 3 vec k and vec u is a unit vector...

    Text Solution

    |