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

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|24 Videos
  • PARABOLA

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

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

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

Similar Questions

Explore conceptually related problems

Two mutually perpendicular tangents of the parabola y^2=4a x meet the axis at P_1a n dP_2 . If S is the focus of the parabola, then 1/(S P_1) +1/(S P_2) is equal to 4/a (b) 2/1 (c) 1/a (d) 1/(4a)

If the line px + qy =1m is a tangent to the parabola y^(2) =4ax, then

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

Show that length of perpendecular from focus 'S' of the parabola y^(2)= 4ax on the Tangent at P is sqrt(OS.SP)

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

Let the tangents to the parabola y^(2)=4ax drawn from point P have slope m_(1) and m_(2) . If m_(1)m_(2)=2 , then the locus of point P is

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

ARIHANT MATHS ENGLISH-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 in...

    Text Solution

    |

  2. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

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

    Text Solution

    |

  4. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

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

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. The largest value of a for which the circle x^2+y^2=a^2 falls totally ...

    Text Solution

    |

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

    Text Solution

    |

  9. If two different tangents of y^2=4x are the normals to x^2=4b y , 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 form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

    Text Solution

    |

  13. An equilateral triangle SAB is inscribed in the parabola y^(2)=4ax hav...

    Text Solution

    |

  14. C is the center of the circle with center (0, 1) and radius unity. P i...

    Text Solution

    |

  15. Let S be the focus of y^2=4x and a point P be moving on the curve such...

    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. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

    Text Solution

    |

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

    Text Solution

    |

  19. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...

    Text Solution

    |

  20. If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...

    Text Solution

    |