Home
Class 12
MATHS
Find the point where the line (x-1)/2=(y...

Find the point where the line `(x-1)/2=(y-2)/-3=(z+3)/4` meets the plane `2x+4y-z=1`.

A

(3,-1,1)

B

(3,1,1)

C

(1,1,3)

D

(1,3,1)

Text Solution

Verified by Experts

The correct Answer is:
A
Let point be (a , b , c) then
2a + 4b - c = 1 `" " …. (i)`
and a = 2k + 1 , b = -3k + 2 and c = 4k - 3
(where k is constant )
On substituting these values in Eq. (i) , we get
2(2k + 1) + 4(-3 k + 2)- (4k - 3) = 1
`implies k = 1`
Hence , required point is (3 , -1 , 1) .
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2009

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MHTCET 2011

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise METHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane x+y+4z=6 .

The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the point

Find the coordinates of the point where the line (x+1)/(2)=(y+2)/(3)=(z+3)/(4) meets the plane x+y+4z=6

The distance between the point (3,4,5) and the point where the line (x-3)/1=(y-4)/2=(z-5)/2 meets the plane x+y+z=17 is

Find the co-ordinates of a point where the line (x-1)/(-2) = (y-2)/(3) = (z+5)/(-4) , meets the plane 2x+4-z=3 .

The distance between the point (3,4, 5) and the point where the line (x-3)/1=(y-4)/2=(z-5)/2 meets the plane x+y+z=17 ,\ i s 1 b. 2 c. 3 d. none of these

Distance from the point (3,4,5) to the point where the line (x-3)/1 =(y-4)/2 = (z-5)/2 meets the plane x+y+z=17 is

The co-ordinate of the point where the line (x-6)/(-1)=(y+1)/(0)=(z+3)/(4) meets the plane x+y+z=3 are

Point of intersection of the line (x-1)/2 = (y-2)/3 = (z+3)/4 and the plane 2x+4y -z=1 is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2010-Mathematics
  1. Dual of (x +y)(x'*1) is

    Text Solution

    |

  2. The value of f(4) - f(3) is

    Text Solution

    |

  3. (1 + Delta)^(n) f(a) is equal to

    Text Solution

    |

  4. Missing term in the following table is {:(x " " : 0 , 1 , 2 , 3 ,...

    Text Solution

    |

  5. If u(0) = 8 , u(1) = 3 , u(2) = 12 , u(3) = 51 , then the value of Del...

    Text Solution

    |

  6. If p,q,r are single proposition with truth values T, F, F, then the tr...

    Text Solution

    |

  7. (p ^^ q) vv ~ p is equivalent to

    Text Solution

    |

  8. Simplify the Boolean function (x* y) + [(x+ y') * y]'.

    Text Solution

    |

  9. The value of lim(x to oo) (1 + 2 + 3 … + n)/(n^(2)) is

    Text Solution

    |

  10. If matrix A=[(a,b),(c,d)], then |A|^(-1) is equal to

    Text Solution

    |

  11. The position vectors of vertices of a DeltaABC are 4hati - 2 hatj , h...

    Text Solution

    |

  12. A four digit number is to be formed using the digits 1,2,3, 4, 5,6,7 (...

    Text Solution

    |

  13. Two coins are tossed simultaneously. Then, the value of E(X), where X ...

    Text Solution

    |

  14. The equation of the plane which passes through (2,-3,1) and is normal ...

    Text Solution

    |

  15. If g is the inverse of f and f'(x) = (1)/(1 + x^(2)) , then g'(x) is e...

    Text Solution

    |

  16. The angle between the lines in x^2-xy-6y^2-7x+31y-18=0 is

    Text Solution

    |

  17. The pair equation of the lines passing through the origin and having s...

    Text Solution

    |

  18. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

    Text Solution

    |

  19. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

    Text Solution

    |

  20. Let the equation of circle is x^(2) + y^(2) - 6x - 4y + 9 = 0 . Then t...

    Text Solution

    |