Home
Class 12
MATHS
A variable line passing through the poin...

A variable line passing through the point P(0, 0, 2) always makes angle `60^(@)` with z-axis, intersects the plane `x+y+z=1`. Find the locus of point of intersection of the line and the plane.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)|120 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3 . What are the direction ratios of the line of intersection of the given planes

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

A line L passes through the point P(5,-6,7) and is parallel to the planes x+y+z=1 and 2x-y-2z=3. What are the direction ratios of the line of intersection of the given planes?

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What are the direction ratios of the line of intersection of the given planes ?

Let P be the plane passing through the point (0,1,–1) and perpendicular to the line of intersection of the planes 2x+z=3 and 3y+2z=5 . If plane P intersects x -axis, y -axis, z -axis, at points A,B,C respectively then area of triangle ABC equals

A plane P passes through the line of intersection of the planes 2x-y+3z=2.x+y-z=1 and the point (1,0,1) What are the direction ration of the line of intersection of the given planes

A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What is the equation of the plane P?

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

FIITJEE-MATHEMATICS TIPS-NUMERICAL DECIMAL BASED QUESTIONS
  1. A variable line passing through the point P(0, 0, 2) always makes angl...

    Text Solution

    |

  2. If in an A.P. a(7)=9 and if a(1)a(2)a(7) is least, then common differ...

    Text Solution

    |

  3. If x, y, z are positive real numbers, then minimum value of (z)/(x+y)+...

    Text Solution

    |

  4. If the difference of the roots of the equation x^(2)-5x+6=0 is same as...

    Text Solution

    |

  5. The minimum value of 'a' for which a^(2)x^(2)+(2a-1)x+1 is non-negativ...

    Text Solution

    |

  6. The minimum value of the expression [3x^(2)+4x+5] (where [.] greatest ...

    Text Solution

    |

  7. Let lambda be real. If. The origin and the complex roots of 2z^(2)+2z+...

    Text Solution

    |

  8. The equation |z-i|+|z+i|=k, k gt 0 can represent an ellipse, if k=

    Text Solution

    |

  9. For |z-1|=1, i tan(("arg"(z-1))/(2))+(2)/(z) is equal to

    Text Solution

    |

  10. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  11. Find out the sum of the coefficients in the expansion of the binomial ...

    Text Solution

    |

  12. A fair coin is tossed 100 times. The probability of getting tails an ...

    Text Solution

    |

  13. The probabilities of two events are 0.25 and 0.50. The total probabili...

    Text Solution

    |

  14. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

    Text Solution

    |

  15. The number of non-zero diagonal matrices of order 4 satisfying A^(2)=A...

    Text Solution

    |

  16. Find the following system of equations is consistent, (a+1)^3x+(a+2...

    Text Solution

    |

  17. The maximum value of determinant |{:(cos(alpha+beta),sin alpha,-cos al...

    Text Solution

    |

  18. If x+y+z=10, where x,y,z in N. Find the number of solutions of triplet...

    Text Solution

    |

  19. The figures 4, 5, 6, 7, 8 are written in every possible order. The num...

    Text Solution

    |

  20. If a^(2)+b^(2)+c^(2)=1 where, a,b,cin R, then the maximum value of (4a...

    Text Solution

    |

  21. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |