Home
Class 12
MATHS
What is the equation of the plane which ...

What is the equation of the plane which passes through the z-axis and is perpendicular to the line `(x-a)/(cos theta) = (y+2)/(sin theta) = (z-3)/0 ?` (A) `x+y tan theta=0` (B) `y+x tan theta=0` (C) `x cos theta-y sin theta=0` (D) `x sin theta-y cos theta=0`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line through (a cos theta, b sin theta) perpendicular to the line x/(a cos theta)+ y/(b sin theta) = 1 .

If cot theta = (x)/(y) , find the value of: " " ( x cos theta + y sin theta)/( y sin theta - x cos theta)

Eliminate theta from the following equation : x cos theta - y sin theta = a, x sin theta + y cos theta = b

Find (dy)/(dx) if x= 3 cos theta - cos 2theta and y= sin theta - sin 2theta.

If x = 3 cos theta - 2 cos^3 theta,y = 3 sin theta - 2 sin^3 theta , then dy/dx is

if theta is a parameter then x=a ( sin theta + cos theta), y=b( sin theta - cos theta ) respresents

Find (dy)/(dx) if x=cos theta - cos 2 theta and" "y = sin theta - sin 2theta

if x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta , then dy/dx is

The equation to the straight line passing through the point (a "cos"^(3) theta, a "sin"^(3) theta) and perpendicular to the line x "sec" theta + y"cosec" theta = a is

The equation of the bisectors of the angles between the two intersecting lines (x-3)/(cos theta ) = (y+5)/(sin theta) and (x-3)/(cos theta) = (y+5)/(sin theta) are (x-3)/(cos alpha) = (y+5)/(sin alpha) and (x-3)/beta = (y+5)/gamma , then

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

    Text Solution

    |

  2. Statement 1: Line (x-1)/1=(y-0)/2=(z2)/(-1) lies in the plane 2x-3y-4z...

    Text Solution

    |

  3. What is the equation of the plane which passes through the z-axis and ...

    Text Solution

    |

  4. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

    Text Solution

    |

  5. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

    Text Solution

    |

  6. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

    Text Solution

    |

  7. A rod of length 2 units whose one ends is (1, 0, -1) and other end to...

    Text Solution

    |

  8. The equation of the plane which is equally inclined to the lines (x...

    Text Solution

    |

  9. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

    Text Solution

    |

  10. The equations of the plane which passes through (0,0,0) and which i...

    Text Solution

    |

  11. The x-y plane is rotated about its line of intersection with the y-...

    Text Solution

    |

  12. Consider the planes 3x-6y+2z+5=0a n d4x-12+3z=3. The plane 67 x-162 y+...

    Text Solution

    |

  13. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

    Text Solution

    |

  14. Let P=0 be the equation of a plane passing through the line of inte...

    Text Solution

    |

  15. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

    Text Solution

    |

  16. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

    Text Solution

    |

  17. If the planes x-c y-b z=0,c x=y+a z=0a n db x+a y-z=0 pass through a s...

    Text Solution

    |

  18. Find the equation of the plane through the points (1,0,-1),(3,2,2) and...

    Text Solution

    |

  19. A variable plane passes through a fixed point (alpha,beta,gamma) an...

    Text Solution

    |

  20. Show that the straight lines whose direction cosines are given by the ...

    Text Solution

    |