Home
Class 11
MATHS
The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+...

The lines `(a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab `, and `x+y=0` form an isosceles triangles whose vertical angle is

A

`pi/2`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II More than One correct answer Type Questions)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-II Linked Comprehension Type Questions)|6 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III Problems on point of intersection of lines and concurrency of lines) (LEVEL- II Integer Type Questions)|1 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Show that the straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form an isosceles triangle.

Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right angled isosceles triangle.

A straight line through the point (2, 2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is

Solution to (a^2)/(x)-(b^2)/(y)=0, (a^2b)/(x)+(b^2a)/(y)=a+b,x ne0,y ne0 is………

AAKASH SERIES-STRAIGHT LINES-PRACTICE SHEET (EXERCISE-IV Problems on Angle between lines, Foot, Image, Orthocentre, Circumcentre, Incentre, Angle Bisector and Locus) (LEVEL-I Staight Objective Type Questions)
  1. The angle between the line joining the points (1, -2), (3, 2) and the ...

    Text Solution

    |

  2. One vertex of an equilateral triangle is (2,3) and the equation of one...

    Text Solution

    |

  3. The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab , and x+y=0 form an is...

    Text Solution

    |

  4. The equation of a straight line passing through the point (1, 2) and i...

    Text Solution

    |

  5. If PM is the perpendicular from P(2,3) on to the lie x+y=3 the M=

    Text Solution

    |

  6. The line x+y=1 meets x-axis at A and y-axis at B,P is the midpoint of ...

    Text Solution

    |

  7. In DeltaABC equation of BC is x-y=0. If the circumcentre and othcentre...

    Text Solution

    |

  8. The equation of perpendicular bisectors of AB and AC of a triangle ABC...

    Text Solution

    |

  9. A ray of light passing through the point (8,3) and is reflected at (14...

    Text Solution

    |

  10. L1 and L2 " are two intersecting lines. If the image of " L1 " w.r.t....

    Text Solution

    |

  11. The distance from the orgin to the image of (1,1) with respect to the ...

    Text Solution

    |

  12. The locus of feet of perpendiculars drawn from origin to the straight ...

    Text Solution

    |

  13. Two sides of a triangle are y=m(1)x and y=m(2)x,m(1),m(2) are the root...

    Text Solution

    |

  14. Suppose A,B are two points on 2x-y+3=0 and P(1,2) is such that PA=PB. ...

    Text Solution

    |

  15. A line passing through the points (7,2) , (-3,2) then the image of the...

    Text Solution

    |

  16. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

    Text Solution

    |

  17. If 2x+3y=5 is the perpendicular bisector of the line segment joining t...

    Text Solution

    |

  18. The acute angle bisector between the line 3x-4y-5=0, 5x+12y-26=0 is

    Text Solution

    |

  19. The image of the point (3, 8) in the line x+3y=7 is

    Text Solution

    |

  20. ABC is a variable triangle such that A is (1,2), and B and C lie on th...

    Text Solution

    |