Home
Class 12
MATHS
If line (x - 1)/2 = (y + alpha)/(alpha) ...

If line `(x - 1)/2 = (y + alpha)/(alpha) = (z + beta)/2` lies in plane ` 2x + y + z = 5`, then `alpha + beta` is

A

`-3`

B

`4`

C

`6`

D

`-9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 62

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

  • NTA TPC JEE MAIN TEST 64

    NTA MOCK TESTS|Exercise MATHEMATICS |27 Videos

Similar Questions

Explore conceptually related problems

For real numbers alpha and beta ne 0 , if the point of intersection of the straight lines ( x - alpha)/( 1) = ( y - 1)/( 2) = ( z -1)/( 3) and ( x - 4) / ( beta) = ( y - 6)/( 3) = ( z - 7)/(3) , lies on the plane x + 2y - z = 8 then alpha - beta is equal to

Suppose the line (x-2)/(alpha) = (y-2)/(-5) = (z+2)/(2) lies on the plane x + 3y - 2z + beta = 0 . Then (alpha + beta) is equal to ________.

If the line (x-2)/3 =(y-1)/-5 =(z+2)/2 lies in the plane x+3y - alphaz + beta=0 , then: (alpha, beta)-=

If the line (x-2)/(3)=(y+1)/(5)=(z-2)/(2) lies in the plane alpha x+2y+z-beta=0 then (alpha, beta) equals

Let the line (x-2)/3 = (y-1)/-5 =(z+2)/2 lie in the plane x+3y - alphaz + beta=0 . Then, (alpha,beta) equals

Line (x-2)/alpha=(y-2)/(-3)=(z+2)/2 lies in x+3y-2z+beta=0 then alpha+beta= ?

Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alpha z +beta=0 . Then, (alpha,beta) equals

Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alphaz+beta=0 . Then, (alpha, beta) equals

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 63-MATHEMATICS
  1. The eccentricity of an ellipse whose length of latus rectum is equal t...

    Text Solution

    |

  2. A parabola having directrix x +y + 2 = 0 touches a line 2x + y - 5 = 0...

    Text Solution

    |

  3. If line (x - 1)/2 = (y + alpha)/(alpha) = (z + beta)/2 lies in plane ...

    Text Solution

    |

  4. If A, B and C are three points position vectors a, b and c respectivel...

    Text Solution

    |

  5. If lim(x to oo)((a^(1//x) + b)/(c))^x = d (non zero finite), then (b+1...

    Text Solution

    |

  6. The general solution of differential equation, sin 2x ((dy)/(dx) - sqr...

    Text Solution

    |

  7. int e^(-x) (1 - tan x) sec x dx (Where C is constant of integration)

    Text Solution

    |

  8. Consider the statement."If it is raining, then sky is not filled with ...

    Text Solution

    |

  9. The variance of first 30 natural numbers, is

    Text Solution

    |

  10. The number of solutions of the equation sin^(-1) (cos 3x) + cos^(-1) (...

    Text Solution

    |

  11. The equation of tangent parallel to y = x drawn to (x^2)/3 - (y^2)/2 =...

    Text Solution

    |

  12. If cosec x = 2/(sqrt3)and cot x = (-1)/(sqrt3) , x in [0,2pi] then th...

    Text Solution

    |

  13. Let xi represents the outcome on a fair die and fi be the correspondin...

    Text Solution

    |

  14. A statue built on a 50 m high pedestal subtends 45^@ at two points, A1...

    Text Solution

    |

  15. Area (in sq. units) between curves y=x^2 and x = y^2 is

    Text Solution

    |

  16. Find the coefficient of x^4 in the expansion of (1 – 9x + 20x^2)^(-1).

    Text Solution

    |

  17. The number of triplets (a,b,c) of positive integers satisfying the equ...

    Text Solution

    |

  18. The roots of the equation x^2 + 2 (a – 3) x + 9 = 0 lies between -6 an...

    Text Solution

    |

  19. The lengths of the tangents from point A(-3, 5) is 6 units and from po...

    Text Solution

    |

  20. The lines x+y=0, x=4y = 0 and 2x-y=0 are the altitudes of a triangle. ...

    Text Solution

    |