Home
Class 11
MATHS
Four points are such that the line joini...

Four points are such that the line joining any two points is perpendicular to the line joining other two points. If three point out of these lie on a rectangular hyperbola, then the fourth point will lie on

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Show that the line joining the points (4,-3) and (0,7) is perpendicular to the line joining the points (5,2) and (0,0) .

Show that the line joining the points (2,-6) and (-4,-8) is perpendicular to the line joining the points (4,-2) and (6,-8) .

Line joining the points (3,-4) and (-2,6) is perpendicular to the line joining the points (-3,6) and (9,-18).

Line joining the points (3,-4) and (-2,6) is perpendicular to the line joining the points (-3,6) and (9,-18).

If the line joining the points (6,-2) and (8,4) is perpendicular to the line joining the points (12,8) and (24,y) , find the value of y .

Show that the line joining the points (4,-1) and (-3,3) is parallel to the line joining the points (8,0) and (1,4) .

Show that the line joining the points (4,5) and (1,2) is parallel to the line joining the points (9,-2) and (12,1) .

The tangents to a curve at a point on it is perpendicular to the line joining the point with the origin. Find the equation of the curve.

Find the equation to the line through the point (-4, -3) and perpendicular to the line joining the points (1, 3) and 2,7) .

If the line joining the points (5,y) and (4,9) is parallel to the line joining the points (0,5) and (1,7) , find the value of y .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2...

    Text Solution

    |

  2. The auxiliary circle of a family of ellipses passes through the ori...

    Text Solution

    |

  3. Four points are such that the line joining any two points is perpendic...

    Text Solution

    |

  4. A man running around a race course notes that the sum of the distances...

    Text Solution

    |

  5. If tangents OQ and OR are dawn to variable circles having radius r and...

    Text Solution

    |

  6. Let Sa n dS ' be two foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . I...

    Text Solution

    |

  7. The equation, 2x^2+ 3y^2-8x-18y+35= K represents

    Text Solution

    |

  8. If the curves (x^2)/4+y^2=1 and (x^2)/(a^2)+y^2=1 for a suitable val...

    Text Solution

    |

  9. If the normal at P to the rectangular hyperbola x^2-y^2=4 meets the ax...

    Text Solution

    |

  10. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  11. Each of the four inequalities given below defines a region in the xy p...

    Text Solution

    |

  12. The lines parallel to the normal to the curve x y=1 is/are 3x+4y+5=0 ...

    Text Solution

    |

  13. From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y...

    Text Solution

    |

  14. If the two intersecting lines intersect the hyperbola and neither of ...

    Text Solution

    |

  15. For the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , let n be the number of p...

    Text Solution

    |

  16. The differential equation (dy)/(dx)=(2x)/(3y) represents a family of h...

    Text Solution

    |

  17. Circle are drawn on the chords of the rectangular hyperbola x y=4 para...

    Text Solution

    |

  18. The equation (x-alpha)^2+(y-beta)^2=k(l x+m y+n)^2 represents (a) a pa...

    Text Solution

    |

  19. If x , y in R , then the equation 3x^4-2(19 y+8)x^2+(361 y^2+2(100+y...

    Text Solution

    |

  20. The equation |sqrt(x^2+(y-1)^2)-sqrt(x^2+(y+1)^2)|=K will represent a ...

    Text Solution

    |