Home
Class 12
MATHS
Let alpha be the angle between the lines...

Let `alpha` be the angle between the lines whose direction cosines satisfy the equation `l+m-n=0`and `l^2+m^2-n^2=0` then value of `(Sinalpha)^4+(Cosalpha)^4` is

A

`(3)/(4)`

B

`(3)/(8)`

C

`(5)/(8)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

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

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the lines whose direction cosines has the relation l+m+n=0 and 2l^(2)+2m^(2)-n^(2)=0 .

The angle between the lines whose direction cosines are given by the equatios l^2+m^2-n^2=0, m+n+l=0 is

The angle between the lines whose direction cosines l , m, n satisfy the equations 5l+m+3n=0 and 5mn-2nl+6lm=0 is

Find the angle between the lines whose direction cosines are given by the equations 3l+m+5n=0 and 6mn-2nl+5lm=0

Find the angle between the lines whose direction cosine are given by the equation: "l"-"m"+"n"=0" and l"^2-"m"^2-"n"^2=0

The angle between the lines whose direction cosines are given by 3l+4m+5n=0 , l^(2)+m^(2)-n^(2)=0 is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. f(x+1)=f(x) + f(1) , f(x), g(x) : N to N g(x) = any arbitrary functi...

    Text Solution

    |

  2. The equation of the line through the point (0,1,2) and perpendicular t...

    Text Solution

    |

  3. Let alpha be the angle between the lines whose direction cosines satis...

    Text Solution

    |

  4. The value of the integral int (sin theta.sin2theta(sin^(6)theta+sin...

    Text Solution

    |

  5. The value of int(-1)^(1)x^(2)e^([x^(3)])dx, where [t] denotes the grea...

    Text Solution

    |

  6. A man is observing, from the top of a tower, a boat speeding towards t...

    Text Solution

    |

  7. A tangent is drawn to the parabola y^(2) = 6x which is perpendicular t...

    Text Solution

    |

  8. All possible values of theta in [0, 2pi] for which sin 2theta +tan 2th...

    Text Solution

    |

  9. Let the lines (2-i)z=(2+i) barz and (2+i)z+(i-2)barz-4i=0, (here i^(2)...

    Text Solution

    |

  10. The image of the point (3, 5) in the line x -y + 1 = 0, lies on :

    Text Solution

    |

  11. If the cuves, (x^(2))/(a)+(y^(2))/(b)=1 and (x^(2))/(c )+(y^(2))/(d)=1...

    Text Solution

    |

  12. lim(n to oo) (1+(1+(1)/(2)+………+(1)/(n))/(n^(2)))^(n) is equal to :

    Text Solution

    |

  13. The coefficients a, b and c of the quadratic equation, ax^(2) + bx + c...

    Text Solution

    |

  14. The total number of positive integral solutions (x, y, z) such that xy...

    Text Solution

    |

  15. Integral value of k for which x^2-2(3k-1)x+8k^2-7 gt 0

    Text Solution

    |

  16. If a curve passes through the origin and the slope of the tangent to i...

    Text Solution

    |

  17. The statement A to (B to A) is equivalent to :

    Text Solution

    |

  18. If Rolle's theorem holds for the function f(x)=x^(3)-ax^(2)+bx-4, x in...

    Text Solution

    |

  19. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

    Text Solution

    |

  20. A fair coin is tossed fixed times. The probability of getting 7 heads ...

    Text Solution

    |