Home
Class 12
MATHS
If angle between the line (x-2)/1=(y-3)/...

If angle between the line `(x-2)/1=(y-3)/2=(z+5)/(-2)` and `2x-y-kz=lambda` is `cos^-1 ((2sqrt2)/3)` then find `k` (A) `sqrt(3/5)` (B) `3/sqrt5` (C) `sqrt5/3` (D) `sqrt(5/3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

if an angle between the line,and the plane, (x-1)/2=(y-2)/1=(z-3)/-2 and the plane x-2y-kz= 3 is cos^-1 (2sqrt2)/3 then a value of k is:

If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane x+2y+3z=4 is cos^(-1)(sqrt((5)/(14))) , then lambda equals

Find the angle between the lines y=(2-sqrt3)(x+5) and y=(2+sqrt3)(x-7) .

Find the angle between the lines y-sqrt(3)x-5=0 and sqrt(3)y-x+6=0 .

Find the angle between the lines y=(2-sqrt(3))(x+5)andy=(2+sqrt(3))(x-7)

If the angle between the line x=(y-1)/2=(z-3)/lambda and the plane x""+""2y""+""3z""=""4"" .is cos^(-1)(sqrt(5/(14))), then lambda equals: (1) 2/3 (2) 3/2 (3) 2/5 (3) 5/3

The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is

The length of the tangent of the curve y=x^(2)+1 at (1 ,3) is (A) sqrt(5) (B) 3sqrt(5) (C) 1/2 (D) 3(sqrt(5))/(2)

If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=1//3, the value of lambda is a. -3/5 b. 5/3 c. -4/3 d. 3/4

If the hyperhola x^2/a^2 - y^2/b^2 = 1 passes through the intersection of 7x+13y-87=0 and 5x-8y+7=0 and its latus rectum is 32sqrt(2)/(5) , then value of a and b are respectively. (A) 5/sqrt(3), 2 (B) 5/sqrt(2), 4 (C) 3/sqrt(2), 4 (D) 2, sqrt(3)/5

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. If z1 and z2 lies on |z|=9 and |z-3-4i|=4 respectively, find minimum p...

    Text Solution

    |

  2. If .^nC4, ^nC5 and .^nC6 are in A.P. then n is equal to (A) ...

    Text Solution

    |

  3. If angle between the line (x-2)/1=(y-3)/2=(z+5)/(-2) and 2x-y-kz=lambd...

    Text Solution

    |

  4. A dice is thrown repeatedly. If 5 or 6 appears, person wins Rs. 100 ot...

    Text Solution

    |

  5. lim(ntoinfty) (n/(n^2+1^2)+n/(n^2+2^2)+n/(n^2+3^2)+...+n/5n^2) is equa...

    Text Solution

    |

  6. A line passes through (-3,4) and the portion of the line intercepted b...

    Text Solution

    |

  7. There are 60 students in a class, out of which 40 opt for NCC, 30 opt ...

    Text Solution

    |

  8. If the tangent drawn to parabola y=x^2-5x+5 at a point is parallel to ...

    Text Solution

    |

  9. Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decre...

    Text Solution

    |

  10. A circle of radius r passes through origin and cut the x-axis and y-ax...

    Text Solution

    |

  11. If y(x) satisfies the differential equation (dy)/(dx)=(x^2-2y)/x where...

    Text Solution

    |

  12. If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 s...

    Text Solution

    |

  13. A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1)...

    Text Solution

    |

  14. If f(1)=2, f\'(x)=f(x) and h(x)=fof(x) then h'\(1) is equal to ...

    Text Solution

    |

  15. Let A={x:xepsilonz and 2^((x+2)(x^2-5x+6))=1}, B={x:xepsilonz and -3lt...

    Text Solution

    |

  16. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  17. The equation of a tangent to the parabola, x^(2)=8y, which makes an an...

    Text Solution

    |

  18. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  19. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m fo...

    Text Solution

    |

  20. Point P is at a height of 25m from surface of lake. The angel of eleva...

    Text Solution

    |