Home
Class 12
MATHS
Tangents are drawn to x^2 + 3y^2 = 2. Th...

Tangents are drawn to `x^2 + 3y^2 = 2`. The locus" of mid-point of intercept made by tangents between the axes is

A

`1/(x^2) + 1/(2y^2) = 1`

B

`1/(4x^2) + 1/(2y^2) = 1`

C

`1/(2x^2) + 1/(6y^2) = 1`

D

`1/(2x^2) + 1/(y^2) = 1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (2) (True and False)|4 Videos
  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (2) (Fill in the blanks)|6 Videos
  • THE ELLIPSE

    ML KHANNA|Exercise PROBLEM SET (1) (Fill in the blanks)|4 Videos
  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Fill in the blanks) |7 Videos
  • THE HYPERBOLA

    ML KHANNA|Exercise SELF ASSESSMENT TEST |4 Videos

Similar Questions

Explore conceptually related problems

If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6 , then the locus of the mid-point of the intercept made by the tangents between the co-ordinate axes is

If tangents are drawn to the ellipse x^(2)+2y^(2)=2, then the locus of the midpoint of the intercept made by the tangents between the coordinate axes is (1)/(2x^(2))+(1)/(4y^(2))=1(b)(1)/(4x^(2))+(1)/(2y^(2))=1(x^(2))/(2)+y^(2)=1(d)(x^(2))/(4)+(y^(2))/(2)=1

From points on the circle x^2+y^2=a^2 tangents are drawn to the hyperbola x^2-y^2=a^2 . Then, the locus of mid-points of the chord of contact of tangents is:

Through a fixed point (h, k) secants are drawn to the circle x^(2) + y^(2) =a^(2) . The locus of the mid points of the secants intercepted by the given circle is

Tangents are drawn to 3x^(2)-2y^(2)=6 from a point P If the product of the slopes of the tangents is 2, then the locus of P is

For a variable line (x)/(a)+(y)/(b)=1,a+b=10 the locus of mid point of the intercept of this line between coordinate axes is

If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle x^(2)+y^(2)=8 then the angle between the tangents is

Tangents are drawn from points on the line x+2y=8 to the circle x^(2)+y^(2)=16. If locus of mid-point of chord of contacts of the tangents is a circles S, then radius of circle S will be

ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
  1. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

    Text Solution

    |

  2. The locus of the mid-points of the portion of the tangents to the elli...

    Text Solution

    |

  3. Tangents are drawn to x^2 + 3y^2 = 2. The locus" of mid-point of inter...

    Text Solution

    |

  4. Tangents are drawn to ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 at points ...

    Text Solution

    |

  5. The locus of the point of intersection of tangents to an ellipse at tw...

    Text Solution

    |

  6. The eccentric angles of extremities of a chord of an ellipse (x^2)/(a^...

    Text Solution

    |

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

    Text Solution

    |

  8. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  9. If P Q R is an equilateral triangle inscribed in the auxiliary circle ...

    Text Solution

    |

  10. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangent are pa...

    Text Solution

    |

  11. Tangents are drawn to the ellipse 3x^2 + 5y^2 = 32 and 25x^2 +9y^2 = 4...

    Text Solution

    |

  12. Let two perpendicular chords of the ellipse (x^2)/(a^2) + (y^2)/(b^2) ...

    Text Solution

    |

  13. An ellipse passes through the point (4,-1) and touches the line x+4...

    Text Solution

    |

  14. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

    Text Solution

    |

  15. The normal at a variable point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2...

    Text Solution

    |

  16. If P(theta1) and D(theta2) be the end, points of two semi-conjugate di...

    Text Solution

    |

  17. If CP and CD are semi-conjugate diameters of the ellipse x^(2)/a^(2) +...

    Text Solution

    |

  18. CP and CD are conjugate semi-diameters of the ellipse x^(2)/a^(2) + y^...

    Text Solution

    |

  19. The maximum distance of the centre of the ellipse (x^(2))/(16) +(y^(2)...

    Text Solution

    |

  20. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |