Home
Class 12
MATHS
The number of distinct real values of la...

The number of distinct real values of `lamda` for which `(x-1)/1=(y-2)/2=(z+3)/(lamda^(2))` and `(x-3)/1=(y-2)/(lamda^(2))=(z-1)/2` are coplanar, is

A

`+-sqrt3`

B

`+-sqrt5`

C

`+-2`

D

`+-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The number of distinct real values of lambda for which the lines (x-1)/(1)=(y-2)/(2)=(z+3)/(lambda^(2)) and (x-3)/(1)=(y-2)/(lambda^(2))=(z-1)/(2) are coplanar is

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1) and (x+1)/(-lamda)=(y+1)/2=(z-2)/1 are perpendicular to each other is

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

The number of distinct values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

The sum of all intergral values of lamda for which (lamda^(2) + lamda -2) x ^(2) + (lamda +2) x lt 1 AA x in R, is:

If line (2x-4)/(lamda)=(lamda-1)/(2)=(z-3)/(1) and (x-1)/(1)=(3y-1)/(lamda)=(z-2)/(1) are perpendicular to each then lamda= . . .

The number of distinct real values of lamda for which the vectors veca=lamda^(3)hati+hatk, vecb=hati-lamda^(3)hatj and vecc=hati+(2lamda-sin lamda)hati-lamdahatk are coplanar is

The number of distinct real values of lamda for which the system of linear equations x + y + z = lamda x , x + y + z = lamday, x + y + z + lamda z has non - trival solution.

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  2. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  3. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  4. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  5. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |

  6. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |

  7. The value of 60 int0^(pi/2) (sin 6x)/(sinx) dx is

    Text Solution

    |

  8. If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2+^50C4+^50C6+. . .+^50C50)=m.2...

    Text Solution

    |

  9. The differential equation of all the circles passing through the point...

    Text Solution

    |

  10. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  11. If alpha & beta are the roots of equation x^2-sqrt3 x+sqrt6=0 and 1+1/...

    Text Solution

    |

  12. If 6/(3^12)+10/(3^11)+20/3^10+40/3^9+. . .+10240/3^1=2^m.n then the va...

    Text Solution

    |

  13. If OAB is a triangle park and OP is a vertical tower such that AB=16, ...

    Text Solution

    |

  14. If curve y=f(x) satisfying differential equation dy/dx+(1/(x^2-1))y=((...

    Text Solution

    |

  15. If A and B are two 3xx3 order matrices such that A is symmetric and B ...

    Text Solution

    |

  16. If OA and OB are tangents to circle (x-2)^2+y^2=1 from origin (O) then...

    Text Solution

    |

  17. Consider the following statements P:Ramesh is singing Q:Ramesh is ou...

    Text Solution

    |

  18. If x(t)=2sqrt2 cost sqrt(sin 2t) and y(t)=2sqrt2 sint sqrt(sin 2t), wh...

    Text Solution

    |

  19. There are 4 girls and 6 boys in a class . Three student are selected r...

    Text Solution

    |

  20. Let veca=3hati+hatj , vecb=hati+2hatj+hatk and veca xx (vecb xx vecc)=...

    Text Solution

    |