Home
Class 11
MATHS
If one of the lines of m y^2+(1-m^2)x y-...

If one of the lines of `m y^2+(1-m^2)x y-m x^2=0` is a bisector of the angle between the lines `x y=0` , then `m` is (a)`1` (b) `2` (c) `-1/2` (d) `-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of the angle between the lines xy=0 , then m is

If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the angle between the lines x y=0 , then m is 3 (b) 2 (c) -1/2 (d) -1

If one of the lines of my^2+(1-m^2)xy-mx^2=0 is a bisector of the angle between lines xy=0 , then cos ^(-1) (m) is

If two lines represented by x^4+x^3y+c x^2y^2-x y^3+y^4=0 bisector of the angle between the other two, then the value of c is (a) 0 (b) -1 (c) 1 (d) -6

Use tables to find the acute angle between the lines 2y+x=0 and x/(1)+y/(2)=2 .

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is (a) x-y+5=0 (b) x-y+1=0 (c) x-y=5 (d) none of these

If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are such that one of them represent the bisector of the angles between the other, then: (A) mn + 1 = 0 (B) mn - 1 = 0 (C) 1/m + 1/n = 0 (D) 1/m -1/n = 0

The line y=m x+1 is a tangent to the curve y^2=4x , if the value of m is (a) 1 (b) 2 (c) 3 (d) 1/2

If the line (x-2)/-1=(y+2)/1=(z+k)/4 is one of the angle bisector of the lines x/1=y/-2=z/3 and x/-2=y/3=z/1 then the value of k is

A normal is drawn to the hyperbolas (y-x m)(m y+x)=a^2 and (m^2-1)(y^2-x^2)+4m x y=b^2dot find the angle between the hyperbolas.

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a)(...

    Text Solution

    |

  2. The straight lines represented by the equation 135 x^2-136 x y+33 y^2=...

    Text Solution

    |

  3. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the ...

    Text Solution

    |

  4. Statement 1 : If -2h=a+b , then one line of the pair of lines a x^...

    Text Solution

    |

  5. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  6. Area of the triangle formed by the lines x^2 + 4xy + y^2=0 and x - y=4...

    Text Solution

    |

  7. The distance between the lines (x+7y)^2+4sqrt(2)(x+7y)-42=0 is

    Text Solution

    |

  8. x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , are three real distinct lines ...

    Text Solution

    |

  9. If the slope of one of the lines represented by a x^2+2h x y+b y^2=0 i...

    Text Solution

    |

  10. int{(2 - 3sinx)/cos^2x}

    Text Solution

    |

  11. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  12. Let P Q R be a right-angled isosceles triangle, right angled at P(2,1...

    Text Solution

    |

  13. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

    Text Solution

    |

  14. Find the equation of the bisectors of the angles between the lines ...

    Text Solution

    |

  15. If theta is the angle between the lines given by the equation 6x^2+5x ...

    Text Solution

    |

  16. The distance of a point (x1, y1) from two straight lines which pass th...

    Text Solution

    |

  17. Prove that the product of the perpendiculars from (alpha,beta) to the ...

    Text Solution

    |

  18. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0

    Text Solution

    |

  19. Show that the pairs of straight lines 2x^2+6x y+y^2=0 and 4x^2+18 x y+...

    Text Solution

    |

  20. The product of the perpendiculars from origin to the pair of lines a x...

    Text Solution

    |