Home
Class 11
MATHS
The straight lines represented by (y-m x...

The straight lines represented by `(y-m x)^2=a^2(1+m^2)` and `(y-n x)^2=a^2(1+n^2)` from a (a) rectangle (b) rhombus (c) trapezium (d) none of these

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

The straight lines represented by (y-mx)^(2)=a^(2)(1+m^(2))and(y-nx)^(2)=a^(2)(1+n^(2)) form a

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

The straight lines represented by x^2+m x y-2y^2+3y-1=0 meet at (a) (-1/3,2/3) (b) (-1/3,-2/3) (c) (1/3,2/3) (d) none of these

The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-2x=0 if (a) theta=npi,n in I Q (b) A=(2n+1)pi,n in I theta=2npi,n in I (d) none of these

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these

If y=(sin^(-1)x)^2,\ then (1-x^2)y_2 is equal to x y_1+2 (b) x y_1-2 (c) x y_1+2 (d) none of these

If y=m x+c touches the parabola y^2=4a(x+a), then (a) c=a/m (b) c=a m+a/m c=a+a/m (d) none of these

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to 1 (b) 2 (c) 1/2 (d) none of these

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to 1 (b) 2 (c) 1/2 (d) none of these

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Area of the triangle formed by the line x+y=3 and the angle bisectors ...

    Text Solution

    |

  2. The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of stra...

    Text Solution

    |

  3. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=...

    Text Solution

    |

  4. If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exa...

    Text Solution

    |

  5. The condition that one of the straight lines given by the equation a x...

    Text Solution

    |

  6. If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated...

    Text Solution

    |

  7. A point moves so that the distance between the foot of perpendiculars ...

    Text Solution

    |

  8. The angle between the pair of lines whose equation is 4x^2+10 x y+m ...

    Text Solution

    |

  9. Find the point of intersection of the pair of straight lines repres...

    Text Solution

    |

  10. Find the angle between the lines represented by x^2+2x ysectheta+y^2=0

    Text Solution

    |

  11. If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the...

    Text Solution

    |

  12. If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distin...

    Text Solution

    |

  13. If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two ...

    Text Solution

    |

  14. If one of the lines of the pair a x^2+2h x y+b y^2=0 bisects the angle...

    Text Solution

    |

  15. Prove that the equation 2x^2+5x y+3y^2+6x+7y+4=0 represents a pair of ...

    Text Solution

    |

  16. A line L passing through the point (2, 1) intersects the curve 4x^2+y^...

    Text Solution

    |

  17. Show that straight lines (A^2-3B^2)x^2+8A Bx y+(B^2-3A^2)y^2=0 form wi...

    Text Solution

    |

  18. If one of the lines denoted by the line pair a x^2+2h x y+b y^2=0 bise...

    Text Solution

    |

  19. If the middle points of the sides B C ,C A , and A B of triangle A B C...

    Text Solution

    |

  20. Find the equations of the lines which pass through the origin and are ...

    Text Solution

    |