Home
Class 12
MATHS
Let L1 : (x-1)/3 = (y-2)/1 = (z-3)/(-3) ...

Let `L_1 : (x-1)/3 = (y-2)/1 = (z-3)/(-3)` be a line and P : 4x + 3y + 5z = 50 be a plane. `L_2` is parallel to the line `L_1`. If a plane P containing both the lines `L_1` and `L_2` are given by the equation
14x - by+ 5z + d = 0 (b,d `in` R), then the value of (b-d) is equal to

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 68

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos
  • NTA TPC JEE MAIN TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Let L_(1):x=y=z and L_(2)=x-1=y-2=z-3 be two lines. The foot of perpendicular drawn from the origin O(0, 0, 0) on L_(1)" to "L_(2) is A. If the equation of a plane containing the line L_(1) and perpendicular to OA is 10x+by+cz=d , then the value of b+c+d is equal to

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 -

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 .

Let L_(1) be the projection and L_(2) be the image of the Z-axis in the plane 3x-4y+z+1=0 then find the distance of the point (4,3,5) from the plane containing the lines L_(1) and L_(2)

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 is the equation of the line L ?

Lying in the plane x+y+z=6 is a line L passing through (1, 2, 3) and perpendicular to the line of intersection of planes x+y+z=6 and 2x-y+z=4 , then the equation of L is

If line L:x/1 = y/2 =z/3 and plane E:x-2y +z=6 , then the line L

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 69-MATHEMATICS
  1. The equation of normal to the curve y = 2x^3 + 6x + 5, which is parall...

    Text Solution

    |

  2. If f (a) = 3, f' (a) = - 2, g (a) = - 1,, g' (a) = 4 then lim(xtoa)(g(...

    Text Solution

    |

  3. If the function f (x) is ={{:(-x,xlt1),(a+cos^(-1)(x+b),1lexle2):} dif...

    Text Solution

    |

  4. int(3 cos x)/(2 cos x + 5 sin x) dx is equaI to [Note : where C is in...

    Text Solution

    |

  5. If x cos theta = y cos ( theta + (2pi)/3), then value of = z cos ( the...

    Text Solution

    |

  6. The area bounded by the curve y^2 (2a-x) = x^3 and the line x = 2 a i...

    Text Solution

    |

  7. If a^(2x)-14a^x + 53 + "||"b+3"|"-4"|" where = "|"4 cos theta"|" x...

    Text Solution

    |

  8. If the equation sin^(-1)(4x^2 -12x +10)+ cos^(-1) (12x -4x^2 -10) +...

    Text Solution

    |

  9. If the standard deviation of the observations - 5, - 4, - 3, - 2, - ...

    Text Solution

    |

  10. lf y = y(x)and (2+sin x)/((y+1)) (dy)/(dx) = -cos x, y (0) = 1 the...

    Text Solution

    |

  11. Given two real sets A = {a,a2,a3...a(2n)} and B = {b1,b2,...bn} ....

    Text Solution

    |

  12. Consider, f (x) = sqrt(pi/2 - tan ^(-1) sqrt((-x^2)/((x^2-9)(x-7)^2...

    Text Solution

    |

  13. If log(245)175 = a, log(1715)875 = b then (1-ab)/(a-b) =

    Text Solution

    |

  14. If the line of intersection of plane P : 2x + y + z = 2 with xy plan...

    Text Solution

    |

  15. Let L1 : (x-1)/3 = (y-2)/1 = (z-3)/(-3) be a line and P : 4x + 3y + 5z...

    Text Solution

    |

  16. Let z be a complex number i.e z = costheta+ i sintheta which is a ro...

    Text Solution

    |

  17. Let f be a real-valued function defined on the interval ( - 1, 1) such...

    Text Solution

    |

  18. AB is any chord of the circle x^2 + y^ 2 - 6x - 8y - 11 = 0, which sub...

    Text Solution

    |

  19. The distance of the line 2 x - 3 y = 4 from the point (1, 1) measured ...

    Text Solution

    |

  20. If alpha ,beta ,gamma are roots of the cubic equation x3 + 2x2 + 3x +...

    Text Solution

    |