Home
Class 12
MATHS
a straight line makes an angle 45^@ with...

a straight line makes an angle `45^@` with positive direction of x-axis and `60^@` with positive direction of z-axis. If the line makes and angle `theta` with positive direction of y-axis then`theta` is equal to-

A

`45^@`

B

`60^@`

C

`120^@`

D

`135^@`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY EXAMINATION 2019

    UNITED BOOK HOUSE|Exercise Exercise|20 Videos

  • HIGHER SECONDARY QUESTION 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

The direction cosines of y-axis are-

The direction cosines of z-axis are-

Thestraight line sqrt3y-3x=3 makes an angle with x axis is

A straight line in the yz-plane makes an angle 60^(@) with the positive z-axis. Find the direction cosines of the line.

Find the slope of the line, which makes an angle of 30^(@) with the positive direction of y-axis measured anticlockwise.

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. pi/3 b. pi/4 c. pi/2 d. pi/6

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

If the equation of the pair of straight lines passing through the point (1,1) , one making an angle theta with the positive direction of the x-axis and the other making the same angle with the positive direction of the y-axis, is x^2-(a+2)x y+y^2+a(x+y-1)=0,a!=2, then the value of sin2theta is

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

Let P M be the perpendicular from the point P(1,2,3) to the x-y plane. If vec O P makes an angle theta with the positive direction of the z- axis and vec O M makes an angle phi with the positive direction of x- axis, w h e r eO is the origin and thetaa n dphi are acute angels, then a. costhetacosphi=1//sqrt(14) b. sinthetasinphi=2//sqrt(14) c. ""tanphi=2 d. tantheta=sqrt(5)//3

UNITED BOOK HOUSE-HIGHER SECONDARY EXAMINATION 2020.-EXERCISE
  1. If omega be an imaginary cube root of 1 then the value of |[1,omega^2,...

    Text Solution

    |

  2. Let IR be the set of real numbers and the mapping f:IR rarr IR and g:I...

    Text Solution

    |

  3. a straight line makes an angle 45^@ with positive direction of x-axis ...

    Text Solution

    |

  4. Value of overset(pi/2)underset(0)int(sin^(2200)x-cos^(2200)x)dx is-

    Text Solution

    |

  5. The principal value of sin^(-1)(sin((5pi)/6))is-

    Text Solution

    |

  6. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

    Text Solution

    |

  7. Show that |[1,logab,logac],[logba,1,logbc],[logca,logcb,1]|=0,(a>0,b>0...

    Text Solution

    |

  8. Find the deferential equation of xy= Ae^x+Be^(-x)+x^2 by eleminating A...

    Text Solution

    |

  9. If x^2 = a^(sin^(-1)t) and y^2= a^(cos^(-1)t) then show that (dy)/(dx)...

    Text Solution

    |

  10. If f(x) = (sin 5x)/(2x) (when x!=0) = (5k)/4(when x= 0), and f(x) is...

    Text Solution

    |

  11. If x>0,y>0 and xy= 100, find the minimum value of (x+y)

    Text Solution

    |

  12. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

    Text Solution

    |

  13. If f(x) = -f(-x) then show that overset(a)underset(-a)int f(x)dx =0.

    Text Solution

    |

  14. Find a vector of magnitude 14 in the direction of the vector -3hat i+6...

    Text Solution

    |

  15. Find the direction cosines of a straight line which is situate on yz-p...

    Text Solution

    |

  16. If P(A)=1/4,P(B)=1/3 and P(A-B)=1/6 then verify whether a and B are tw...

    Text Solution

    |

  17. The mean and variance of a binomial distribution B(n,p|) are 4 and 3.2...

    Text Solution

    |

  18. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |

  19. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |

  20. Show that sin^(-1) (12/13)+cos^(-1)(4/5)+tan^(-1)(63/16) = pi.

    Text Solution

    |