Home
Class 12
MATHS
The sum of the slopes of the tangents to...

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

A

`-2`

B

`-3`

C

`(-3)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- II|100 Videos
  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos
  • PARABOLA

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|13 Videos
  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos
  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

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

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

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 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 ellipse 2x^(2)+3y^(2)=6 drawn from the point (1,2) is

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

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

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))

AAKASH SERIES-PARABOLA-EXERCISE- I
  1. The equation of the tangent to the parabola y^(2)=8x and which is para...

    Text Solution

    |

  2. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

    Text Solution

    |

  3. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

    Text Solution

    |

  4. The locus of point of intersection of perpendicular tangents drawn to ...

    Text Solution

    |

  5. The point of intersection of tangents at the ends of Iatus rectum of t...

    Text Solution

    |

  6. The equation to the normal to the parabola x^(2) = 2y at (1, 2) is

    Text Solution

    |

  7. Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x t...

    Text Solution

    |

  8. The equation of the chord of the parabola y^(2)=2x having (1,1) as its...

    Text Solution

    |

  9. The point of intersection of the tangents at t(1) and t(2) to the para...

    Text Solution

    |

  10. If the tangents at t(1) and t(2) on y^(2)=4ax meet on the directrix th...

    Text Solution

    |

  11. If the tangents at and t(1) and t(2)= on y^(2)=4ax meets on its axis t...

    Text Solution

    |

  12. If the tangents at t(1) and t(2) on y^(2) = 4ax makes complimentary a...

    Text Solution

    |

  13. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

    Text Solution

    |

  14. If the normals at t(1) and t(2) on y^(2) = 4ax meet again on the para...

    Text Solution

    |

  15. Number of focal chords of the parabola y^(2)=9x whose length is less t...

    Text Solution

    |

  16. The point of intersection of normals to the parabola y^(2) = 4x at the...

    Text Solution

    |

  17. The ordinate of a point on the parabola y^(2) = 18x is one third of it...

    Text Solution

    |

  18. If the chord joining t(1) and t(2) on the parabola y^(2) = 4ax is a fo...

    Text Solution

    |

  19. The equation of the tangent to the parabola y^(2) = 4x at the point t ...

    Text Solution

    |

  20. If the tangents at t(1)andt(2) on y^(2) = 4ax are at right angles if

    Text Solution

    |