Home
Class 12
MATHS
If lines (x-3)/1=(y-[k])/2=(z-1)/1 and ...

If lines `(x-3)/1=(y-[k])/2=(z-1)/1` and `(x-1)/2=(y+1)/3=(z-1)/4` intersect (where [.] denotes greatest integer function) then `k` can be (1)`5` (2) `(13)/4` (3) `(19)/4` (4) `(15)/4`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 intersect, (where [.] denotes greatest integer function) then K can be 4 (2) (13)/4 (3) 5 (4) (37)/6

The lines (x-2)/(1)=(y-3)/(2)=(z-4)/(3)and(x-1)/(-5)=(y-2)/(1)=(z-1)/(1) are

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

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 lines (x)/(1)=(y)/(2)=(z)/(3)and(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

Show that the lines (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)/(-2) do not intersect each other.

RESONANCE DPP-JEE MAINS-All Questions
  1. If (4+sqrt(15))^n=I+f,w h r en is an odd natural number, I is an integ...

    Text Solution

    |

  2. If vec a= hat i+ hat j+ hat k= hat i-2 hat j+ hat k and the vector v...

    Text Solution

    |

  3. If lines (x-3)/1=(y-[k])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 inter...

    Text Solution

    |

  4. If S=1+4/3+9/9+(16)/(27)+oo, then find the value of [S] (where [.] is ...

    Text Solution

    |

  5. If A=[a b c b c a c a b],a b c=1,A^T A=I , then the value of a^3+b^3+...

    Text Solution

    |

  6. Number of divisors of 2^5. 3^2 .5^3 which are divisible by 2 but not d...

    Text Solution

    |

  7. If alpha and beta are the roots of quadratic equationx^2+ px + q=0 and...

    Text Solution

    |

  8. f(x)=cos^(-1)(x-x^2)+sqrt(1-1/(|x|))+1/[[x^2-1]) then domain of f(x...

    Text Solution

    |

  9. The value of lim(n->oo)sum(r=0)^(n)(sum(t=0)^(r-1)1/(5^n)*"^n Cr*"^...

    Text Solution

    |

  10. If 25C0 25C2 +2. 25C1 25C3 +3. 25C2 .25C4+....+ 24. 25C23.25C25=k. 4...

    Text Solution

    |

  11. The graph of function f contains the point P(1, 2) and Q(s, r). The e...

    Text Solution

    |

  12. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

    Text Solution

    |

  13. Let A,B,C be 2xx2 matrices with entries from the set of real numbers. ...

    Text Solution

    |

  14. Let f (n) denote the n^(th) term of the sequence 2, 5, 10, 17, 26,.......

    Text Solution

    |

  15. For |z-1|=1, i tan(("arg"(z-1))/(2))+(2)/(z) is equal to

    Text Solution

    |

  16. Number of ways in which 8 people can be arranged in a line if A and B ...

    Text Solution

    |

  17. For all real numbers x, let the mapping f (x) = 1/(x-i). where i =sqrt...

    Text Solution

    |

  18. Let A,B,C,D be real matrices such that A^(T)=BCD,B^(T)=CDA,C^(T)=DAB a...

    Text Solution

    |

  19. ((dy)/(dx))^(2) + 2y cot x (dy)/(dx) = y^(2) has the solution

    Text Solution

    |

  20. If in triangle A B C , vec A B= vec u/(| vec u|)-- vec v/(| vec v|)a n...

    Text Solution

    |