Home
Class 12
MATHS
The shortest distance between origin an...

The shortest distance between origin and a point on the space curve `x=2sint, y=2cost, z=3t` is….

Text Solution

Verified by Experts

The correct Answer is:
`(2)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|36 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the line x - y = 1 and the curve x^2 = 2y is :

The shortest distance between line y-x=1 and curve x=y^2 is

The shortest distance between the line y=x and the curve y^(2)=x-2 is:

The shortest distance between the line x-y=1 and the curve id x^2=2y

The shortest distance between the lines y-x=1 and the curve x=y^2 is

Find the shortest distance between the line x-y+1=0 and the curve y^(2)=x

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Integer Answer Type Questions)
  1. If the triangle ABC whose vertices are A(-1, 1, 1), B(1, -1, 1) and C(...

    Text Solution

    |

  2. The equation of a plane which bisects the line joining (1, 5, 7) and (...

    Text Solution

    |

  3. The shortest distance between origin and a point on the space curve ...

    Text Solution

    |

  4. The plane 2x-2y+z+12=0 touches the surface x^2+y^2+z^2-2x-4y+2z-3=0 on...

    Text Solution

    |

  5. If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(...

    Text Solution

    |

  6. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

    Text Solution

    |

  7. If overline(P1P2) is perpendicular to overline(P2P3), then the value o...

    Text Solution

    |

  8. Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and...

    Text Solution

    |

  9. Let P(a, b, c) be any on the plane 3x+2y+z=7, then find the least valu...

    Text Solution

    |

  10. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  11. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

    Text Solution

    |

  12. The position vectors of the four angular points of a tetrahedron OABC ...

    Text Solution

    |

  13. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

    Text Solution

    |

  14. If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least...

    Text Solution

    |

  15. If the line x=y=z intersect the line xsinA+ysinB+zsinC-2d^(2)=0=xsin(2...

    Text Solution

    |

  16. The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(...

    Text Solution

    |

  17. Let G(1), G(2) and G(3) be the centroid of the triangular faces OBC, O...

    Text Solution

    |

  18. A variable plane which remains at a constant distance p from the origi...

    Text Solution

    |

  19. If (l(1), m(1), n(1)) , (l(2), m(2), n(2)) are D.C's of two lines, th...

    Text Solution

    |

  20. If the coordinates (x, y, z) of the point S which is equidistant from ...

    Text Solution

    |