Home
Class 11
MATHS
Angle between the lines (x)/( a) + (y)/(...

Angle between the lines `(x)/( a) + (y)/( b) and (x)/(a) - (y)/( b) = 1` is ….....

A

`tan^(-1) ((2ab)/( a^(2) - b^(2) ))`

B

`tan^(-1) ((2ab)/( a^(2) + b^(2) ))`

C

`tan^(-1) ((a+b)/( a-b))`

D

`tan^(-1) ( ( 2ab)/( a+b))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|34 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Practice Work|76 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Show that the tangent of an angle between the lines (x)/(a) + (y)/( b) = 1 and (x)/( a) - (y)/( b) = 1 is (2 ab)/( a^(2) - b^(2) ) .

The angle between the lines (x+1)/(2) + (y+3)/(2) = (z-4)/(-1) and (x-4)/(1) = (y+4)/(2) = (z+1)/(2) is........

The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k + 1, y =2 k -1, z=2k +3, k in R is .....

The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the plane 2x-y + z = 4 is......

Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/3=(1-y)/(-2)=(z+5)/(-1) .

Find angles between the lines sqrt(3) x +y=1 and x+ sqrt(3) y=1 .

Angle between the lines x + y = 0 and y = 5 is ...........

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

KUMAR PRAKASHAN-STRAIGHT LINES-Text based MCQs
  1. .......... is the y intersept of the line passes from point (2,2) and ...

    Text Solution

    |

  2. Area of the triangle with verticies (-4,1),(1,2) and (4,-3) is …......

    Text Solution

    |

  3. In .......... ratio Y -axis divides line segment joining points (-3,-4...

    Text Solution

    |

  4. P1 and P2 are the length of perpendicular from origin to the line x se...

    Text Solution

    |

  5. If a+b + c=0 then line 3ax+by+c=0 passes from ….....of the following p...

    Text Solution

    |

  6. Lines axpm bypm c =0 represents …....... of the following.

    Text Solution

    |

  7. (5, 2) is the mid point of the line segment intercepted between axes t...

    Text Solution

    |

  8. P- alpha form of the line x+ sqrt(3) y - 4=0 is…......

    Text Solution

    |

  9. If the lines x cos alpha + y sin alpha = P and x - sqrt(3) y+ 1 =0 are...

    Text Solution

    |

  10. Perpendicular distance between 3x+4y-5=0 and 6x + 8y - 15=0 is …....

    Text Solution

    |

  11. Lines 3x + 4y = 5, 5x + 4y = 4 and lambdax + 4y = 6 passes from unique...

    Text Solution

    |

  12. (2,7) is the centroid of the triangle with verticies (4, 8) and (-2, 6...

    Text Solution

    |

  13. A(0,b) , B(0,0) and C(a,0) are verticies of Delta ABC. If the medians ...

    Text Solution

    |

  14. .......... is the foot of perpendicular from point (-2,3) to the line ...

    Text Solution

    |

  15. .......... of the following is the line joining the point of intersect...

    Text Solution

    |

  16. Angle between the ........... intersecting lines 2x-y+3=0 and x+2y+3=0...

    Text Solution

    |

  17. …..... Is the line passes from point (1,2) and perpendicular to the l...

    Text Solution

    |

  18. Lines ax+by =c and a'x + b'y=c' are mutually perpendicular then .........

    Text Solution

    |

  19. Angle between the lines (x)/( a) + (y)/( b) and (x)/(a) - (y)/( b) = 1...

    Text Solution

    |

  20. If the lines mx+ ( 2m + 3)y+ m + 6=0 and (2m+1) x + (m-1) y+m-9=0 inte...

    Text Solution

    |