Home
Class 12
MATHS
The product of the slopes of the tangent...

The product of the slopes of the tangents to the ellipse `2x^(2)+3y^(2)=6` drawn from the point `(1,2)` is

A

1

B

2

C

-1

D

-2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|24 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|2 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

Similar Questions

Explore conceptually related problems

The sum of the slopes of the tangents to the ellipse x^(2)//9+y^(2)//4=1 drawn from the point (6, -2) is

The sum and product of the slopes of the tangents to the hyperbola 2x^(2) -3y^(2) =6 drawn form the point (-1,1) are

Assertion (A) : the sum and product of the slopes of the tangents to the ellipse (x^2)/(9)+(y^2)/(4)=1 drawn from the points (6,-2) are -8/9 ,1. Reason(R): if m_(1),m_(2) are the slopes of the tangents through (x_(1),y_(1)) of the ellipse, then m_(1)+m_(2)=(2x_(1).y_(1))/(x_(1)^(2)-a^(2)) m_(1).m_(2)=(y_(1)^(2)-b^(2))/(x_(1)^(2)-a^(2))

The sum of the slopes of the tangents to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 drawn from the point (6, -2) is

The product of the slopes of the tangents to the parabola y^(2)=4x drawn from the point (2,3) is

The sum and product of the slopes of the tangents to the hyperbola x^(2)/4-y^(2)/2=1 drawn from the point (3,-2) are

The sum and product of the slopes of the tangents to the parabola y^(2) = 4x drawn from the point (2, -3) respectively are

A : The sum and product of the slopes of the tangents to the parabola y^(2)=8x drawn form the point (-2,3) are -3/2,-1 . R : If m_(1),m_(2) are the slopes of the tangents of the parabola y^(2) =4ax through P (x_(1),y_(1)) then m_(1)+m_(2)=y_(1)//x_(1),m_(1)m_(2)=a//x_(1) .

The sum of the slopes of the tangents to the parabola y^(2)=8x drawn from the point (-2,3) is

The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(2)=6 are

DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The number of tangents to (x^(2))/(25)+(y^(2))/(9)=1 through (1,1) is

    Text Solution

    |

  2. The sum of the slopes of the tangents to the ellipse x^(2)//9+y^(2)//4...

    Text Solution

    |

  3. The product of the slopes of the tangents to the ellipse 2x^(2)+3y^(2)...

    Text Solution

    |

  4. The total number of real tangents that can be drawn to the ellipse 3x^...

    Text Solution

    |

  5. If any tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 intercepts e...

    Text Solution

    |

  6. The equation to the director circle of the ellipse 2x^(2)+3y^(2)=6 is

    Text Solution

    |

  7. The equation to the auxiliary circle of x^(2)/12+y^(2)/18=1 is

    Text Solution

    |

  8. The equation to the circle on S^(')S as diameter where S and S^(') are...

    Text Solution

    |

  9. The radius of the circle passing through the foci of the ellipse x^(2)...

    Text Solution

    |

  10. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  11. The locus of the point of intersection of the perpendicular tangents t...

    Text Solution

    |

  12. The locus of the point of intersection of two tangents to the ellipse ...

    Text Solution

    |

  13. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

    Text Solution

    |

  14. The product of the perpendiculars from the foci on any tangent to the...

    Text Solution

    |

  15. If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...

    Text Solution

    |

  16. Perpendiculars are drawn from the points (0, pm ae) on any tangent to ...

    Text Solution

    |

  17. The sum of the squares of the perpendiculars on any tangent to the ell...

    Text Solution

    |

  18. Let d and d^(') be the perpendicular distances from the foci of an ell...

    Text Solution

    |

  19. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

    Text Solution

    |

  20. The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor a...

    Text Solution

    |