Home
Class 12
MATHS
Two tangents are drawn from a point (-2...

Two tangents are drawn from a point ` (-2,-1) ` to the curve `y^(2) =4x, ` If `alpha ` is the angle between them , then ` | tan alpha | ` is equal to

A

`(1)/(3) `

B

`( 1)/(sqrt3) `

C

` sqrt3`

D

` 3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise ELLIPSE|55 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

Two tangents are drawn from (- 2, -1) to y^(2) = 4x. If theta is the acute angle between two tangents then Tan theta equal to

The distance between the points (tan alpha, 1 ) , (0, 2) is

If two tangents drawn from a point P to the parabola y^(2)=4x are at right angles then the locus of P is

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse x^(2)/16+y^(2)/9=1 then the angle between the tangents is

The angle between the tangents drawn from the point (1,4) to the parabola y^2 = 4x is

If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9) = 1 the angle between the tangents is

Find the pair of tangents drawn from (1,3) to the circle x^(2) + y^(2) - 2x + 4y -11 = 0 and also find the angle between them.

AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. A set of parallel chords of the parabola y^(2) =4ax have their mid-po...

    Text Solution

    |

  2. If the angular bisectors of the coordinates axes cut the parabola y^(2...

    Text Solution

    |

  3. If the straight line y=mx+c is parallel to the axis of the parabola y^...

    Text Solution

    |

  4. The set of point on the axis of the parabola y^(2) -2y -4x + 5=0 from ...

    Text Solution

    |

  5. Given :A circle 2x^(2) +2y^(2) =5 and a parabola y^(2) =4 sqrt5 x. ...

    Text Solution

    |

  6. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

    Text Solution

    |

  7. The equation of the directrix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  8. The locus of the vertices of the family of parabolas y = (a^(3)x^(2))/...

    Text Solution

    |

  9. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

    Text Solution

    |

  10. The normal at a point (bt1^(2) , 2bt1) on a parabola meets the parabo...

    Text Solution

    |

  11. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

    Text Solution

    |

  12. Statement 1: The slope of the tangent at any point P on a parabola , w...

    Text Solution

    |

  13. Statement 1: The line x-2y =2 meets the parabola y^(2) +2x=0 only at ...

    Text Solution

    |

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

    Text Solution

    |

  15. Let L1 be the length of the common chord of the curves x^(2) +y^(2)...

    Text Solution

    |

  16. Two tangents are drawn from a point (-2,-1) to the curve y^(2) =4x, ...

    Text Solution

    |

  17. A chord is drawn through the focus of the parabola y^(2) =6x such tha...

    Text Solution

    |

  18. Lety^(2) =16x be a given parabola and L be an extremity of its latus r...

    Text Solution

    |

  19. The locus of the mid points of the chords of the prarabola x^(2) =4py...

    Text Solution

    |

  20. Let O be the vertex and Q be any point on the parabola ,x^(2) =8y . If...

    Text Solution

    |