Home
Class 12
MATHS
A line L lies in the plane 2x-y-z=4 such...

A line L lies in the plane `2x-y-z=4` such that it is perpendicular to the line `(x-2)/(2)=(y-3)/(1)=(z-4)/(5)`. The line L passes through the point of intersection of the given line and given plane. Which of the following points does not satisfy line L?

A

`(-5, -(1)/(2), -(27)/(2))`

B

`(3, 1, 6)`

C

`(0, (29)/(2), (-37)/(2))`

D

`(-4, (5)/(2), (-29)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 72

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) then find the distance of origin from point of intersection of line and plane.

The plane containing the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and parallel to the line (x)/(1)=(y)/(1)=(z)/(4) passes through the point

The plane containing the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and parallel to the line (x)/(1)=(y)/(1)=(z)/(4) passes through the point

The plane passing through the point (5,1,2) perpendicular to the line 2 (x-2) =y-4 =z-5 will meet the line in the point :

A straight line passes through the point (2,-1,-1). It is parallel to the plane 4x+y+z+2=0 and is perpendicular to the line (x)/(1)=(y)/(-2)=(z-5)/(1). The equation of the straight line is

Find the coordinates of the point where the line (x-2)/(3)=(y+1)/(4)=(z-2)/(2) intersect the plane x-y+z-5=0. Also,find the angel between the line and the plane.

NTA MOCK TESTS-NTA JEE MOCK TEST 71-MATHEMATICS
  1. The compound statement (prarr ~q)vv(p^^q) is logically equivalent to

    Text Solution

    |

  2. The angular elevation of tower CD at a point A due south of it is 60^(...

    Text Solution

    |

  3. If x=sin(2tan^(-1)2sqrt3)and y=sin((1)/(2)tan^(-1).(12)/(5)), then

    Text Solution

    |

  4. The points on the curve f(x)=(x)/(1-x^(2)), where the tangent to it ha...

    Text Solution

    |

  5. Which of the following statements is correct?

    Text Solution

    |

  6. The area (in sq. units) bounded between the curves y=e^(x)cos x and y=...

    Text Solution

    |

  7. The curve passing through P(2, (7)/(2)) and having place 1-(1)/(x^(2))...

    Text Solution

    |

  8. A bag contains 2 red, 3 white and 5 black balls, a ball is drawn its c...

    Text Solution

    |

  9. If a, b, c are non - zero real numbers, the system of equations y+z=...

    Text Solution

    |

  10. Let A be a matrix of order 3 such that A^(2)=3A-2I where, I is an iden...

    Text Solution

    |

  11. A line L lies in the plane 2x-y-z=4 such that it is perpendicular to t...

    Text Solution

    |

  12. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

    Text Solution

    |

  13. ABC is a right triangle, right - angled at the vertex A. A circle is d...

    Text Solution

    |

  14. If e(1) and e(2) are the eccentricities of the ellipse (x^(2))/(18)+(y...

    Text Solution

    |

  15. Two points P and Q in the argand plane represent the complex numbers z...

    Text Solution

    |

  16. Let AB is the focal chord of a parabola and D and C be the foot of the...

    Text Solution

    |

  17. A total of 6 Boys and 6 girls are to sit in a row alternatively and in...

    Text Solution

    |

  18. Let veca=hati+2hatj+3hati, vecb=hati-hatj+2hatk and vecc=(x-2)hati-(x-...

    Text Solution

    |

  19. If I=int(dx)/(x^(2)sqrt(1+x^(2)))=(f(x))/(x)+C, (AA x gt0) (where, C i...

    Text Solution

    |

  20. Number of integral terms in the expansion of (sqrt5+root8(7))^(1024) i...

    Text Solution

    |