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 equals to

A

`sqrt42` units

B

`sqrt32` units

C

4 units

D

5 units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos
  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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 -

The line (x-1)/(2) = (y -2)/(-3) = (z + 5)/(4) meets the plane 2x + 4y -z = 3 at the point whose coordinates are

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

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 .

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. Let P(a t^(2), 2 a t), Q, R (a r^(2).2 ar) be three points on a parabo...

    Text Solution

    |

  2. Let P be a point on the ellipse (x^(2))/(9) + (y^(2))/(4)=1 and the li...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The approximate value of sin 31^(@) is

    Text Solution

    |

  6. Let f(1)(x)= e^(x), f(2)(x)= e^(f(1)(x)),……f(n+1)(x)= e^(f(n)(x)) for ...

    Text Solution

    |

  7. The domain of definition of f(x)= sqrt((1-|x|)/(2-|x|)) is Here (a, ...

    Text Solution

    |

  8. Let f : [a, b] rarr R be differentiable on [a, b] & k in R. Let f(a)= ...

    Text Solution

    |

  9. Let f(x)= 3x^(10)- 7x^(8) + 5x^(6)- 21x^(3) + 3x^(2)-7. Then underset(...

    Text Solution

    |

  10. Let f: [a, b] rarr R be such that f is differentiable in (a,b). f is c...

    Text Solution

    |

  11. Let f: R rarr R be a twice continuously differentiable function such t...

    Text Solution

    |

  12. If int e^(sin x) [(x cos^(3)x - sin x)/(cos^(2)x)] dx= e^(sin x).f(x) ...

    Text Solution

    |

  13. If int f(x) sin x cos x dx= (1)/(2(b^(2)-a^(2))) log f(x) + c, where c...

    Text Solution

    |

  14. If M= underset(0)overset(pi//2)int (cos x)/(x +2) dx, N= underset(0)ov...

    Text Solution

    |

  15. The value of the integral I= underset(1/2014)overset(2014)int (tan^(-1...

    Text Solution

    |

  16. Let I= underset(pi /4)overset(pi /3)int (sin x)/(x) dx. Then

    Text Solution

    |

  17. The value of I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x))...

    Text Solution

    |

  18. The value of underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) ...

    Text Solution

    |

  19. The differential equation representing the family of curves y^(2)= 2d(...

    Text Solution

    |

  20. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

    Text Solution

    |