Home
Class 12
MATHS
If the line (x - 2)/( 3) = (y +1)/(2) = ...

If the line `(x - 2)/( 3) = (y +1)/(2) = (z -1)/(-1)` intersects the plane `2x + 3y -z + 13 =0` at a point P and the plane
`3x + y + 4 z = 16` at a point Q, then PQ is equal to

A

`2 sqrt14`

B

`sqrt14`

C

`2sqrt7`

D

14

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 44

    NTA MOCK TESTS|Exercise MATHEMATICS |28 Videos

Similar Questions

Explore conceptually related problems

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-z+13=0 at a point P and the plane 3x+y+4z=16 at a point Q, then PQ is equal to

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(2) intersects the plane 2x+3y-z+13=0 at a point P and plane 3x+y+4z=16 at a point Q then PQ is equal to

Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z = 3 in the point

Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in the point A . Then the direction ratios of the line OA are

The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the point

What is the point of intersection of the line x = y = z with the plane x + 2y + 3z = 6 ?

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 43 -MATHEMATICS
  1. The point (2a, a ) lies inside the region bounded by the parabola x ^(...

    Text Solution

    |

  2. Let A be (100, 50) , a point B on the line y = x and point C on x-axis...

    Text Solution

    |

  3. If the line (x - 2)/( 3) = (y +1)/(2) = (z -1)/(-1) intersects the pla...

    Text Solution

    |

  4. If veca = veci + vecj + veck, vecb= 4 veci + 3 vecj + 4 veck and vec...

    Text Solution

    |

  5. If f (x) = || sin (|x| - 2) | - 3|, then

    Text Solution

    |

  6. Let f be a composite function of x defined by f (u) = (1)/( u ^(2) +...

    Text Solution

    |

  7. int ( 3e ^(x) -5e ^(-x))/( 4e ^(x) + 5e ^(-x)) = ax + b ln then (4e ...

    Text Solution

    |

  8. Let f (x+y) = f (x). f (y) for all x and y and f (1) = 2 . If in a tri...

    Text Solution

    |

  9. Let f (x) = sin x + 2 sin^(2) x + 3 sin ^(3) x + 4 sin ^(4) x + .... o...

    Text Solution

    |

  10. If theta = sin ^(-1) ((4)/(5)) + sin ^(-1) ((1)/(3)) and theta (2) = c...

    Text Solution

    |

  11. If p is true and q is false then which of the following is having its ...

    Text Solution

    |

  12. Let x be the number of diagonal matrices A of rela etries and order 3 ...

    Text Solution

    |

  13. If d : A to B where A = { 2,3,4} and B {6,2,3,4,5}, then the number of...

    Text Solution

    |

  14. If the function f (x) = x ^(3) + e ^((pi)/(2)) and g (x) = f ^(-1) (x)...

    Text Solution

    |

  15. int (0) ^((1)/(2)) (1 + sqrt3)/( ((x + 1) ^(2) (1 - x ) ^(6) ) ^((1)/(...

    Text Solution

    |

  16. Let f (x) be a differentiable function and satisfying the equation f...

    Text Solution

    |

  17. The mean of 10 terms is 3. If the first term is increased by 1, second...

    Text Solution

    |

  18. Find the value of f (e ^(4.2)), if 3f (x) - f ((1)/(x)) = log x ^(4) ...

    Text Solution

    |

  19. Let F (x) = int (x) ^((pi)/(3) + x ^(2)) 2 cos^(2) t dt, x in Rand f ...

    Text Solution

    |

  20. If number of ways of arranging letters aaaabbbbccdd' in a line so that...

    Text Solution

    |