Home
Class 12
MATHS
The feet of the normals to (x^(2))/(a^(2...

The feet of the normals to `(x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1` from (h,k) lie on

A

`a ^(2) ky - b ^(2) hx = xy (a ^(2) - b ^(2))

B

`a ^(2) ky + b ^(2) hx = xy (a ^(2) + b ^(2))`

C

`a ^(2) hy - b ^(2) ky = xy (a ^(2) - b ^(2))

D

`a^(2) hy + b ^(2) kx = xy (a ^(2) + b ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • MATHEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos
  • MATHEMATICS

    FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

The number of normals to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 from an external point, is

Find the equation of the normal to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at (x_(0),y_(0))

Find the maximum distance of any normal of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 from its centre

Centre of the ellipse ((x-h)^(2))/(a^(2))+((y-k)^(2))/(b^(2))=1(a

The locus of the point (h,k) from which the tangent can be drawn to the different branches of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is (A) (k^(2))/(b^(2))-(h^(2))/(a^(2)) 0 (C) (k^(2))/(b^(2))-(h^(2))/(a^(2))=0( D) none of these

Statement I The number of points on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b>0) from which we can draw 3 normals to the parabola x^(2)=4by are zero.Satatement II If from p(h,k) three normals can be drawn to parabola x^(2)=4by, then k>2b

Show that the feet of the perpendiculars from the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 on any of its tangents lie on its auxiliary circle

FIITJEE-MATHEMATICS -OBJECTIVE
  1. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

    Text Solution

    |

  2. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  3. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

    Text Solution

    |

  4. If sin x + cosec x + tan y + cot y =4 where x and y in [ 0 (pi)/(2)], ...

    Text Solution

    |

  5. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  6. The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + ...

    Text Solution

    |

  7. Consider a triange ABC, where B and C are (-a,0) and (a,0) respectivel...

    Text Solution

    |

  8. If sinx,cosx,tanxare in G.P., then cot^6x-cot^2x= (A) 0 (B) -1 (C) 1 (...

    Text Solution

    |

  9. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

    Text Solution

    |

  10. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  11. The value of lamda for which the equation (10 x -5) ^(2) + (10y-15) ^...

    Text Solution

    |

  12. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

    Text Solution

    |

  13. If sin x (1)+ sin x(2) + sin x (3) +…+ sin x (n) is

    Text Solution

    |

  14. Two paralel straight lines indined at an angle theta to x-axis where (...

    Text Solution

    |

  15. Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then ...

    Text Solution

    |

  16. If a and b be the segments of a focal chord and 4c be the latus rectum...

    Text Solution

    |

  17. sum (k =1) ^(89) log (e) tan ((pik)/(180)) is equal to

    Text Solution

    |

  18. The lengths of intercepts made by any circle on the coordinate axes ar...

    Text Solution

    |

  19. Portion of asymptote of hypebola (x^(2))/(a^(2)) - (y ^(2))/(b ^(2)) =...

    Text Solution

    |

  20. Equation of circle touching the lines |x-2| + | y-3|=4 will be

    Text Solution

    |