Home
Class 12
MATHS
The length of the perpendicular from P(1...

The length of the perpendicular from P(1,6,3) to the line `x/1=(y-1)/(2)=(z-2)/(3) is `

A

3

B

`sqrt(11)`

C

`sqrt(13)`

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (4)|19 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE(TRUE AND FALSE)|27 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (2)|12 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Self Assessment Test |35 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

The length of the perpendicular from P(1,0,2) on the line (x+1)/(3)=(y-2)/(-2)=(z+1)/(-1) is

Find the equations of the perpendicular from the point (1,6,3) to the line (x)/(1)=(y-1)/(2)=(z-2)/(3). Find also the coordinates of the foot of perpendicular.

The length of the perpendicular drawn from (1,2,3) to the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) is a.4 b.5c.6d.7

Find the length of the perpendicular from ( 3,2,1) to the line (x - 7) /(-2) = (y - 7)/(2) = (z - 6 ) /(3) .

Find the length of the perpendicular from the point (1,2,3) to the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2)

The foot of the perpendicular from (2,4,-1) to the line (x+5)/(1)=(y+3)/(4)=(z-6)/(-9) is

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

    Text Solution

    |

  2. P is a fixed point (a,a,a) on a line through the origin equally inclin...

    Text Solution

    |

  3. The length of the perpendicular from P(1,6,3) to the line x/1=(y-1)/(2...

    Text Solution

    |

  4. The equation of line which passes through the intersection of the plan...

    Text Solution

    |

  5. If(q+r)x+(r+p)y+(p+q)z=k and(q-r)x+(r-p)y+(p-q)z=k represent the e...

    Text Solution

    |

  6. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

    Text Solution

    |

  7. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

    Text Solution

    |

  8. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

    Text Solution

    |

  9. Equation of a line passing through (1,-2,3) and parallel to the plane ...

    Text Solution

    |

  10. The S.D between the lines (x+3)/-3=(y+7)/2=(z-6)/4 is equal to

    Text Solution

    |

  11. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  12. The lines (x-a+b)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta), (...

    Text Solution

    |

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

    Text Solution

    |

  14. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  15. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  16. The lines (x-2)/gamma=(y-4)/2=(z-5)/1 are coplaner ifgamma is

    Text Solution

    |

  17. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

    Text Solution

    |

  18. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

    Text Solution

    |

  19. Find the distance of a point (2,4,-1) from the line (x+5)/1=(y+3)/4=...

    Text Solution

    |

  20. Distance of the point (x(1),y(1),z(1)) from the line (x-x(2))/1=(y-y(...

    Text Solution

    |