Home
Class 12
MATHS
Let the line passing through the points ...

Let the line passing through the points `P (2, -1, 2) and Q (5, 3, 4)` meet the plane `x - y + z =4` at the point R. Then the distance of the point R from the plane `x + 2y + 3z + 2 = 0` measured parallel to the line `(x-7)/2=(y+3)/2=(z-2)/1` is equal to

A

3

B

`sqrt(31)`

C

`sqrt(61)`

D

`sqrt(189)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

Find the distance of the point (3,4,5) from the plane x+y+z=2 measured parallel to the line 2x=y=z

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x-1)/2=(y-3)/3=(z+2)/-6 .

Find the distance of the point (3,4,5) from the plane x+y+z=2 , measured parallel to the line 2x=y=z .

Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 measured parallel to the line (x+3)/3=(y-2)/6=z/2 .

The distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x)/(2)=(y)/(3)=(z)/(-6), is

Find the distance of the point (0,-3,2) from the plane 3x+2y+2z+5=0 , measured parallel to the line (x+1)/3=(y+1)/2=z/3 .

The distance of the point (1,2,3) from the plane x+y+z=11 measured parallel to the line (x+1)/(1)=(y-12)/(-2)=(z-7)/(2) is

The distance of the point (2, 3, 2) from the plane 3x+4y+4z=23 measured parallel to the line (x+3)/(1)=(y-6)/(-2)=(z-1)/(1) is

The distance of the point (1,-2,3) from the plane x-y+z-5=0 , measured parallel to the line x/2=y/3=(z-1)/-6 is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let A=1{1, 3, 4, 6, 9} and B=4{2, 4, 5, 8, 10}. Let R be a relation de...

    Text Solution

    |

  2. If abs((x+1,x,x),(x,x+lamda,x),(x,x,x+lamda^2))=9/8(103x+81), then lam...

    Text Solution

    |

  3. Let the line passing through the points P (2, -1, 2) and Q (5, 3, 4) m...

    Text Solution

    |

  4. Let a, b, c and d be positive real numbers such that a +b +c +d=11. If...

    Text Solution

    |

  5. For a in CC, let A={z in CC :Re(a+ barz) gt Im(bar a+z)} and B={z in C...

    Text Solution

    |

  6. Let the function f:[0,2] to RR be defined as f(x)={(e^(min{x^2,x-[x]}...

    Text Solution

    |

  7. Let P be the plane passing through the points (5,3,0), (13,3, -2) and ...

    Text Solution

    |

  8. Let the mean of 6 observations 1, 2, 4, 5, x and y be 5 and their vari...

    Text Solution

    |

  9. The angle of elevation of the top P of a tower from the feet of one pe...

    Text Solution

    |

  10. If the system of linear equations 7x+11y+alphaz=13 5x+4y+7z=beta 175x+...

    Text Solution

    |

  11. If f:RR to RR be a continuous function satisfying int0^(pi/2) f(sin ...

    Text Solution

    |

  12. The domain of the function f(x)=1/(sqrt([x]^2-3[x]-10)) is (where [x] ...

    Text Solution

    |

  13. If the letters of the word "MATHS" are permuted and all possible words...

    Text Solution

    |

  14. Let y= y(x) be the solution of the differential equation (dy)/(dx)+5/...

    Text Solution

    |

  15. Let the probability of getting head for a biased coin be 1/4. It is to...

    Text Solution

    |

  16. Let A=1{1.2.34 5} and B= {1,2 3.4, 5 6}. Then the number of functions ...

    Text Solution

    |

  17. For k in NN , if the sum of the series 1+4/k+8/k^2+13/k^2+19/k^4+. . ....

    Text Solution

    |

  18. Let the line l:x=(1-y)/-2=(z-3)/lamda ,lamda in RR meet the plane P:x ...

    Text Solution

    |

  19. If A is the area in the first quadrant enclosed by the curve C: 2x^2-y...

    Text Solution

    |

  20. Let veca=hati+2hatj+3hatk and vecb=hati+hatj-hatk.If vecc is a vector ...

    Text Solution

    |