Home
Class 12
MATHS
Let from a point A (h,k) chord of contac...

Let from a point A (h,k) chord of contacts are drawn to the ellipse `x^2+2y^2=6` such that all these chords touch the ellipse `x^2+4y^2=4,` then locus of the point A is

A

`4x^2+9y^2=36`

B

`x^2+y^2=4`

C

`x^2-y^2=9`

D

`x^2+y^2=9`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 23

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 26

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let form a point A(h, k) chords of contact are drawn to the ellipse x^(2)+2y^(2)=6 where all these chords touch the ellipse x^(2)+4y^(2)=4 . Then, the perimeter (in units) of the locus of point A is

If the line 3x+4y=sqrt(7) touches the ellipse 3x^(2)+4y^(2)=1, then the point of contact is

Find locus of mid point of chord of x^2-y^2=4 such that this chord touches y^2=8x

From a point P tangents are drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 If the chord of contact touches the auxiliary circle then the locus of P is

The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1,-1) as its mid point is

From (3,4) chords are drawn to the circle x^(2)+y^(2)-4x=0. The locus of the mid points of the chords is :

Tangents are drawn from points on the line x-y+2=0 to the ellipse x^(2)+2y^(2)=4 then all the chords of contact pass through the point

From the point P ,the chord of contact to the ellipse E_(1):(x^(2))/(a)+(y^(2))/(b)=(a+b) touches the ellipse E_(2):(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 Then the locus of point P

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

From a variable point P a pair of tangent are drawn to the ellipse x^(2)+4y^(2)=4, the points of contact being Q and R. Let the sum of the ordinate of the points Q and R be unity.If the locus of the point P has the equation x^(2)+y^(2)=ky then find k

NTA MOCK TESTS-JEE MOCK TEST 24-MATHS
  1. The integral value of m for which the quadratic equation (2m-3)x^2-4x+...

    Text Solution

    |

  2. Let from a point A (h,k) chord of contacts are drawn to the ellipse x^...

    Text Solution

    |

  3. If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1...

    Text Solution

    |

  4. int(sin^2x*sec^2x+2tanx*sin^(- 1)x*sqrt(1-x^2))/(sqrt(1-x^2)(1+tan^2x)...

    Text Solution

    |

  5. The value of {:(lim),(xrarr0):}(xcot(4x))/(tan^2(3x)cot^2(6x)) is equa...

    Text Solution

    |

  6. If n objects are arrange in a row, then the number of ways of select...

    Text Solution

    |

  7. Solve sin^(-1)(1-x)-2s in^(-1)x=pi/2

    Text Solution

    |

  8. If 1 , a, b and 4 are in harmonic progression , then the value of a + ...

    Text Solution

    |

  9. fractional part of 2^(78) /31 is:

    Text Solution

    |

  10. Let f (x) = 10 - |x-5| , x in R, then the set of all values of x at wh...

    Text Solution

    |

  11. If two tangents drawn from the point P (h,k) to the parabola y^2=8x ar...

    Text Solution

    |

  12. If I(1)=overset(k)underset(1-x)int x sin{x(1-x)}dx and I(2)=overset(k)...

    Text Solution

    |

  13. Let A is a matrix of order 3xx3 defined as A=[a(ij)]3xx3, where a(ij)...

    Text Solution

    |

  14. If [(veca+2vecb+3vecc)xx(vecb+2vecc+3veca)],.(vecc+2veca+3vecb)]=54 w...

    Text Solution

    |

  15. Let A be the point (1,2,3) and B be a point on the line (x-1)/-2=(y+1)...

    Text Solution

    |

  16. Let the circumcentre of DeltaABC is S (-1,0) and the midpoints of side...

    Text Solution

    |

  17. If p and q are two statements , then which of the following statements...

    Text Solution

    |

  18. Let F(n)=(sin1)xx(sin2)xx....sin(n),AA"n"in"N" then number of element...

    Text Solution

    |

  19. a,b,c,in N and d = |{:(a,b,c),(c,a,b),(b,c,a):}| , then the least posi...

    Text Solution

    |

  20. F:RrarrR,F(x)=lamdax+sinx is onto if lamda is an element of the set P ...

    Text Solution

    |