Home
Class 12
MATHS
the equation of the chord of contact of ...

the equation of the chord of contact of the pair of tangents drawn to the ellipse `4x^2+9y^2=36` from the point `(m ,n)` where `mdotn=m+n ,m ,n` being nonzero positive integers, is

A

`2x+9y=18`

B

`2x+2y=1`

C

`4x+9y=18`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|15 Videos
  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 3|14 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 4x^2 + 9y^2 = 36 is :

If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=1 are at right angles then lambda is

The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x - 5y = 20 to the circle x^2 + y^2 = 9 is:

On the ellipse 4x^2+9y^2=1 , the points at which tangents are parallel to the line 8x =9y are :

The value of m, for which the line y = mx + 2 is a tangent to the hyperbola 4x^(2)-9y^(2)-36 are

If x= 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the equation of the corresponding pair of tangents is :

Evaluate int sinmx sin nx dx , where m and n are positive integers. What happens if m=n?

Statement 1 The equation of the director circle to the ellipse 4x^(2)+9y^(2)=36 is x^(2)+y^(2)=13 Statement 2 The locus of the point of intersection of perpendicular tangents to an ellipse is called the director circle.

Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/4=1 touching the ellipse at point A and B. Q. The orthocenter of the trianlge PAB is

Prove that the chord of contact of tangents drawn from the point (h,k) to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 will subtend a right angle at the centre, if h^(2)/a^(4)+k^(2)/b^(4)=1/a^(2)+1/b^(2)

ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
  1. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  2. Find the perimeter of the parallelogram whose adjacent sides are 3 and...

    Text Solution

    |

  3. Write the equation of tangent to the ellipse (x^2)/(25)+(y^2)/(16)=1 a...

    Text Solution

    |

  4. Write the parametric form of equation of tangents drawn from any point...

    Text Solution

    |

  5. the equation of the chord of contact of the pair of tangents drawn to ...

    Text Solution

    |

  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

    Text Solution

    |

  7. Find the derivative of x^(2)/2 + x + 1

    Text Solution

    |

  8. Find the derivative of secx + cosecx

    Text Solution

    |

  9. Find the derivative of cos(x - pi/8)

    Text Solution

    |

  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

    Text Solution

    |

  11. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

    Text Solution

    |

  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

    Text Solution

    |

  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

    Text Solution

    |

  14. A circle has the same center as an ellipse and passes through the foci...

    Text Solution

    |

  15. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  16. An ellipse is inscribed in a circle and a point within the circle is c...

    Text Solution

    |

  17. An ellipse slides between two perpendicular straight lines. Then id...

    Text Solution

    |

  18. If one of the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2bx+c=0 lies w...

    Text Solution

    |

  19. The equation of the locus of the middle point of the portion of the ta...

    Text Solution

    |

  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |