Home
Class 12
MATHS
If the direction ratios of a striaght li...

If the direction ratios of a striaght line are proportional, to 0,1,-1 then its inclination with z-axis is

A

`pi/2`

B

`pi`

C

`(3pi)/2`

D

`(3pi)/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|45 Videos
  • SET (11)

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

Define : Direction ratios of a straight line.

If a line whose direction ratios are proportional to 0, 1, -1 then the inclination of the line with z-axis is-

The direction ratios of the line 3x-2=2y+1=2z-4 are proportional to -

The direction cosines of z-axis are-

Let l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) be the direction ratios of two given straight lines. Find the direction ratios of a straight line which is perpendicular to both the given straight lines.

Can the numbers 1, 2, 3 be the direction ratios of a straight line?

If O is the origin, OP=3 with direction ratios proportional to -1, 2, -2 then the coordinates of P are-

If the direction ratios of two lines are 2, -3, 6 and 1, -2, 2 respectively then the angle between the lines is -

Can the numbers 1,2,3 be the direction ratio of a straight line? Give reason.

Find the direction cosines of a straight line which is situate on yz-plane and inclined at an angle 60^@ with poistive direction of z-axis.

UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
  1. Let IR be the set of real numbers and the mapping f:IR rarr IR and g:I...

    Text Solution

    |

  2. If f(x) is the probability distribution function of a random variable ...

    Text Solution

    |

  3. If the direction ratios of a striaght line are proportional, to 0,1,-1...

    Text Solution

    |

  4. If f(x)=|x|+|x-1| then f(x)is-

    Text Solution

    |

  5. The value of overset(a)underset(-a)int (xe^(x^4))/(1+x^2)dxis

    Text Solution

    |

  6. If the inverse of the matrix A exists, then the value of det (A^-1)

    Text Solution

    |

  7. If R is a relation defined as R ={(x,y):x,y in N and x+3y =12}. Then f...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal ma...

    Text Solution

    |

  10. Prove that |[1,logxy,logxz],[logyx,1,logyz],[logzx,logzy,1]|=0

    Text Solution

    |

  11. If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(...

    Text Solution

    |

  12. Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.

    Text Solution

    |

  13. Evaluate: int(cos x-cos 2x)/(1-cosx)dx.

    Text Solution

    |

  14. A particle starts with the velocity u and moves in a straight line, i...

    Text Solution

    |

  15. Find the interval where f(x) = 1/(1+x^2) decrease.

    Text Solution

    |

  16. If f(x)= f(a+x) then prove that the value of overset(a+t)underset(a)in...

    Text Solution

    |

  17. If vec a= 3hati+hatj+9 hat k and vecb = hati +lambda hat j+3 hat k the...

    Text Solution

    |

  18. Find the vector equation of a plane through the point hati+ hat j+hat ...

    Text Solution

    |

  19. If P(A)=2/3,P(B)=1/2 and P(AnnB)=1/6 then find the value of P(AnnB^C).

    Text Solution

    |

  20. Solve: tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)(8/31).

    Text Solution

    |