Home
Class 12
MATHS
A point P lies on a line through Q(1,-2,...

A point P lies on a line through Q(1,-2,3) and is parallel to the line `(x)/(1)=(y)/(4)=(z)/(5)`. If P lies on the plane `2x+3y-4z+22=0`, then segment PQ equal to

A

`sqrt(42)` units

B

`sqrt(32)` units

C

4 units

D

5 units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

Show that the line (x+3)/(4)=(y-5)/(-1)=(z+7)/(2) lies in the plane x-2y-3z-8=0 .

If the line (x-3)/(2) = (y + 2)/(-1) = (z +4)/(3) lies in the plane lx + my -z = 9 , then l^(2) + m^(2) is equal to

Find the equation of a line passing through the point (1,2,3) and parallel to the line (x-1)/(2)=(7-y)/(3)=-z .

Find the angle between the line (x-2)/(1)=(y+1)/(3)=(z-4)/(2) and the plane 3x-2y+4z=6 .

The image of the line (x -1)/(3) = (y -3)/(1) = (z -4)/(-5) in the plane 2x - y + z + 3=0 is the line-

Find the angle between the line (x-1)/(3)=(y+1)/(2)=(z+2)/(4) and the plane 2x+y-3z+4=0 .

The equation of the line passing through the point (2, -3, 1) and parallel to the line (3x-2)/(3)=(2y+1)/(4)=(3-z)/(2) is -

Find the equation of the line passing through the point(1,2,3) and parallel to the line (x-1)/2=(7-y)/3=-z .

The angle between the line (x-1)/(2)=(y-2)/(1)=(z+3)/(-1) and the plane x+y+4=0 is __

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is __

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  2. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  3. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  4. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the point (1,8,4) on the line...

    Text Solution

    |

  6. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  7. For 0leple1 and for any positive a,b let I(p)=(a+b)^p,J(p)=a^p+b^p: th...

    Text Solution

    |

  8. Let vecalpha=hati+hatj+hatk,vecbeta=hati-hatj-hatk" and "vecgamma=-hat...

    Text Solution

    |

  9. Let vecalpha,vecbeta,vecgamma be three unit vectors such that vecalpha...

    Text Solution

    |

  10. The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/...

    Text Solution

    |

  11. Let p be a relation on N, the set of natural numbers, as p={(x,y)neN x...

    Text Solution

    |

  12. If the polynomial f(x)=|{:((1+x)^a,(2+x)^b,1),(1,(1+x)^a,(2+x)^b),((2+...

    Text Solution

    |

  13. Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/...

    Text Solution

    |

  14. The normals to the curve y=x^2+1, drawn at the points with the absciss...

    Text Solution

    |

  15. The equation xlogx=3-x

    Text Solution

    |

  16. Let I=int0^1(x^3cos3x)/(2+x^2)dx. Then

    Text Solution

    |

  17. A particle is in motion along a curve 12y=x^3. The rate of change of i...

    Text Solution

    |

  18. The area of the region lying above x-axis, and included between the ci...

    Text Solution

    |

  19. In a third order matrix A, a(ij) denotes the element in the i-th row a...

    Text Solution

    |

  20. Let f(x)=cos((pi)/(x)),xne0 then assuming k as an integer,

    Text Solution

    |