Home
Class 12
MATHS
Two mutually perpendicular tangents of t...

Two mutually perpendicular tangents of the parabola `y^(2)=4ax` meet the axis at `P_(1)andP_(2)`. If S is the focal of the parabola, Then `(1)/(SP_(1))+(1)/(SP_(2))` is equal to

A

`1/(4a)`

B

`1/a`

C

`2/a`

D

`4/a`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The focus of the parabola y^2= 4ax is :

The directrix of the parabola y^2=4ax is :

The common tangent to the parabola y^2=4ax and x^2=4ay is

Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. Then the locus of P has the equation

The normal to the parabola y^(2)=4ax at three points P,Q and R meet at A. If S is the focus, then prove that SP*SQ*SR=aSA^(2) .

Find the equations of the tangent and normal to the parabola y^(2)=4ax at the point (at^(2),2at) .

Prove that the semi-latus rectum of the parabola y^(2) = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

The straight line y=mx+1 is a tangent to the parabola y^2=4x , the find the value of m.

y=3x is tangent to the parabola 2y=ax^2+b . The minimum value of a+b is

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of int...

    Text Solution

    |

  2. Evaluate int 18x^2 dx.

    Text Solution

    |

  3. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

    Text Solution

    |

  4. Evaluate int 22x^2 dx.

    Text Solution

    |

  5. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

    Text Solution

    |

  6. Evaluate int 23x^2 dx.

    Text Solution

    |

  7. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

    Text Solution

    |

  8. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  9. If two different tangents to y^2=4x are the normals to x^2=4 by, then

    Text Solution

    |

  10. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  11. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  12. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

    Text Solution

    |

  13. Find the length of the side of an equilateral traingle inscribed in th...

    Text Solution

    |

  14. Let C be a circle with center (0,1) and radius unity. P is the parabol...

    Text Solution

    |

  15. Evaluate int 24x^2 dx.

    Text Solution

    |

  16. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  17. Evaluate int 25x^2 dx.

    Text Solution

    |

  18. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  19. Evaluate int 26x^2 dx.

    Text Solution

    |

  20. If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...

    Text Solution

    |