Home
Class 11
MATHS
If (h,k) is a point on the axis of the p...

If (h,k) is a point on the axis of the parabola `2{(x-1)^2 + (y-1)^2} = (x+y)^2 `from where three distinct normal can be drawn, then the least integral value of h is :

Text Solution

AI Generated Solution

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

If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+y+2)^2 from where three distinct normals can be drawn, then prove that h > 2.

The set of points on the axis of the parabola (y-2)^2=4(x-1/2) from which three distinct normals can be drawn to the parabola are

Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from where three distinct normals can be drawn.

The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h,k) of points satisfying

The set of points on the axis of the parabola (x-1)^2=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h ,k) of points satisfying (a)h >2 (b) h >1 (c)k >2 (d) none of these

The set of points on the axis of the parabola y^2 =4ax , from which three distinct normals can be drawn to theparabola y^2 = 4ax , is

The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

If three distinct normals can be drawn to the parabola y^(2)-2y=4x-9 from the point (2a, 0) then range of values of a is

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is

Three normals with slopes m_1, m_2 and m_3 are drawn from a point P not on the axis of the axis of the parabola y^2 = 4x . If m_1 m_2 = alpha , results in the locus of P being a part of parabola, Find the value of alpha

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the normal to the parabola y^2=4a x at point t1 cuts the parabola a...

    Text Solution

    |

  2. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

    Text Solution

    |

  3. If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} =...

    Text Solution

    |

  4. A ray of light moving parallel to the X-axis gets reflected from a par...

    Text Solution

    |

  5. A circle and a parabola y^2=4a x intersect at four points. Show that t...

    Text Solution

    |

  6. A parabola mirror is kept along y^2=4x and two light rays parallel to ...

    Text Solution

    |

  7. If incident from point (-1,2) parallel to the axis of the parabola y^2...

    Text Solution

    |

  8. Find the equation of parabola having focus at (1,1) and vertex at (-3,...

    Text Solution

    |

  9. Find the equation of the parabola with focus f(4,0) and directrix x=−4...

    Text Solution

    |

  10. Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)...

    Text Solution

    |

  11. The equation of the latus rectum of a parabola is x+y=8 and the equati...

    Text Solution

    |

  12. Prove that the locus of the center of a circle, which intercepts a cho...

    Text Solution

    |

  13. Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=...

    Text Solution

    |

  14. Find the range of values of lambda for which the point (lambda,-1) is ...

    Text Solution

    |

  15. Prove that the locus of a point, which moves so that its distance from...

    Text Solution

    |

  16. L O L ' and M O M ' are two chords of parabola y^2=4a x with vertex A ...

    Text Solution

    |

  17. If (a ,b) is the midpoint of a chord passing through the vertex of the...

    Text Solution

    |

  18. If two of the three feet of normals drawn from a point to the parabola...

    Text Solution

    |

  19. If three distinct normals can be drawn to the parabola y^2-2y=4x-9 fro...

    Text Solution

    |

  20. Find the locus of thepoint of intersection of two normals to a parabol...

    Text Solution

    |