Home
Class 12
MATHS
Consider the line L:(x-1)/(2)=(y-1)/(-3)...

Consider the line `L:(x-1)/(2)=(y-1)/(-3)=(z+10)/(8)` and a family of planes P containing the line L. The member of the family of planes P which is situated at a maximum distance from `A(1, 0, 0)` will be

A

`x-2y-z=13`

B

`x+2y-z=7`

C

`2x+y-z=7`

D

`x+2y-2z=13`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 84

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 86

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

consider the family of lines through the point (1,2,2) and lying in the plane 2x-y+z=2 family which is at a maximum distance from the point (2,1,1) is

If the lines L_(1):(x-1)/(3)=(y-lambda)/(1)=(z-3)/(2) and L_(2):(x-3)/(1)=(y-1)/(2)=(z-2)/(3) are coplanar, then the equation of the plane passing through the point of intersection of L_(1)&L_(2) which is at a maximum distance from the origin is

Given the line L: (x-1)/(3)=(y+1)/(2)=(z-3)/(-1) and the plane phi: x-2y-z=0 . Statement-1 lies in phi . Statement-2 L is parallel to phi .

Given the family of lines a(3x+4y+6)+b(x+y+2)=0 The line of the family situated at the greatest distance from the point P(2,3) has equation

The projection of the line (x-1)/(2)=(y+1)/(1)=(z-2)/(3) on a plane P is (x-1)/(1)=(y+1)/(2)=(z-2)/(1) , then the equation of the plane P is

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.

If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px + 3y - z + 5 = 0 , then the value of p -

The condition that the line (x-x_(1))/(l)=(y-y_(1))/(m)=(z-z_(1))/(n) lies in the plane ax+by+cz+d=0 is

Consider a plane P:2x+y-z=5 , a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) and a point A(3, -4,1) . If the line L intersects plane P at B and the xy plane at C, then the area (in sq. units) of DeltaABC is

NTA MOCK TESTS-NTA JEE MOCK TEST 85-MATHEMATICS
  1. The point of intersection of the tangent to the parabola y^(2)=4x whic...

    Text Solution

    |

  2. The solution of the differential equation (dy)/(dx)=(x-y)/(x-3y) is (w...

    Text Solution

    |

  3. The integral I=int[xe^(x^(2))(sinx^(2)+cosx^(2))]dx =f(x)+c, (where, c...

    Text Solution

    |

  4. If veca and vecb are unit vectors making an angle alpha with each othe...

    Text Solution

    |

  5. If A and B are two matrices of order 3xx3 satisfying AB=A and BA=B, th...

    Text Solution

    |

  6. Consider the line L:(x-1)/(2)=(y-1)/(-3)=(z+10)/(8) and a family of pl...

    Text Solution

    |

  7. A purse contains three 10 paise, three 50 paise and ten 1 rupee coins....

    Text Solution

    |

  8. The number of solutions to x+y+z=10, where 1le x, y, z le 6 and x, y, ...

    Text Solution

    |

  9. The number of values of the parameter alpha in [0, 2pi] for which the ...

    Text Solution

    |

  10. The value of lim(xrarr1^(-))(sqrtpi-sqrt(4tan^(-1)x))/(sqrt(1-x)) is e...

    Text Solution

    |

  11. Three positive acute angles alpha, beta and gamma satisfy the relation...

    Text Solution

    |

  12. If p, q, r, s in R, then equaton (x^2 + px + 3q) (-x^2 + rx + q) (-x...

    Text Solution

    |

  13. Let f:RtoR be a function defined as f(x)={(5,"if", xle1),(a+bx,"if", 1...

    Text Solution

    |

  14. If S(n)=n^(2)a+(n)/(4)(n-1)d is the sum of the first n terms of an ari...

    Text Solution

    |

  15. Which of the statements is not a fallacy?

    Text Solution

    |

  16. The product of all the values of |lambda|, such that the lines x+2y-...

    Text Solution

    |

  17. Let f(x)=2tan^(3)x-6tan^(2)x+1+sgn(e^(x)),AA x in [-(pi)/(4),(pi)/(4)]...

    Text Solution

    |

  18. Let |A|=|a(ij)|(3xx3) ne0 Each element a(ij) is multiplied by by k^(i...

    Text Solution

    |

  19. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+………+C(n)x^(n) AA n in N and (C(0)^(2...

    Text Solution

    |

  20. The tops of two poles of height 40 m and 25 m are connected by a wire ...

    Text Solution

    |