Home
Class 12
MATHS
Let the equations of a line and plane...

Let the equations of a line and plane be `(x+3)/2=(y-4)/3=(z+5)/2a n d4x-2y-z=1,` respectively, then a. the line is parallel to the plane b. the line is perpendicular to the plane c. the line lies in the plane d. none of these

A

the line is parallel to the plane

B

the line is parpendicular to the plane

C

the line lies in the plane

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a

Also, point (-3,4,-5) does not lie on the plane.
Therefore, the line is parallel ot the plane.
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|17 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise REASONING TYPE|10 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise SUBJECTIVE TYPE|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation of the plane which is pendicular to the plane 3x+2y+6z+4=0 is 2x-6y+z=0 .

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Find the equation of the which is prependicular to the plane 5x+3y+6z+8=0 and which constant the line of intesection of the plane x+2y+3z=4 and 2x+y-z=0 .

The equation of a line are (4-x)/(2)=(y+3)/(2)=(z+2)/(1) . Find the direction cosines of a line parallel to the above line.

The equation of the plane passing through the point (1,1,1) and perpendicular to the planes 2x+y-2z=5 and 3x-6y-2z=7

The equation of the plane passing through the point (1, -3, -2) and perpendicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is -

Find the equation of a plane which is parallel to the plane x-2y+2z=5 and whose distance from the point (1, 2, 3) is 1.

The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x-2y+z=6 is the line of intersection of this plane with the plane

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

CENGAGE PUBLICATION-THREE-DIMENSIONAL GEOMETRY -SINGLE CORRECT ANSWER TYPE
  1. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

    Text Solution

    |

  2. The line (x-2)/3=(y+1)/2=(z-1)/1 intersects the curve x y=c^(2),z=0 th...

    Text Solution

    |

  3. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

    Text Solution

    |

  4. The length of the perpendicular from the origin to the plane passing t...

    Text Solution

    |

  5. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  6. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

    Text Solution

    |

  7. A unit vector parallel to the intersection of the planes vec r. \ (...

    Text Solution

    |

  8. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

    Text Solution

    |

  9. For the line (x-1)/1=(y-2)/2=(z-3)/3, which one of the following is...

    Text Solution

    |

  10. The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. i...

    Text Solution

    |

  11. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

    Text Solution

    |

  12. Equation of a line in the plane pi-=2x-y+z-4=0 which is perpendicul...

    Text Solution

    |

  13. If the foot of the perpendicular from the origin to plane is P(a ,b...

    Text Solution

    |

  14. The equation of the plane which passes through the point of interse...

    Text Solution

    |

  15. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

    Text Solution

    |

  16. Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of ...

    Text Solution

    |

  17. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |

  18. The coordinates of the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  19. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |

  20. The length of projection of the line segment joining the points (1,0,-...

    Text Solution

    |