Home
Class 12
MATHS
If M is the foot of the perpendicular fr...

If M is the foot of the perpendicular from a point P on a parabola to its directix and SPM is an equilateral triangle where S is the focus then SP=

A

a

B

2a

C

3a

D

4a

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|50 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-1|4 Videos

  • PARABOLA

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS ) SET-4|4 Videos

  • MEASURES OF DISPERSION

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

  • PARTIAL FRACTIONS

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

Similar Questions

Explore conceptually related problems

If Q is the foot of the perpendicular from a point p on the parabola y^(2)=8(x-3) to its directrix. S is an equilateral triangle then find the lengh of side of the triangle.

If (1, 2, 3) is the foot of the perpendicular from the origin to a plane, then find its equation.

If the foot of the perpendicular from the origin to plane is P (a,b,c), the equation of the plane is

DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

    Text Solution

    |

  2. Through the vertex O of the parabola y^(2)=4ax a perpendicular is draw...

    Text Solution

    |

  3. If M is the foot of the perpendicular from a point P on a parabola to ...

    Text Solution

    |

  4. If y(1),y(2) are the ordinates of two points P and Q on the parabola a...

    Text Solution

    |

  5. The locus of foot of perpendicular from the focus upon any tangent to ...

    Text Solution

    |

  6. The length of the perpendicular from the focus S of the parabola y^(2)...

    Text Solution

    |

  7. The number of tangents to y^(2)=2x through (1,2) is

    Text Solution

    |

  8. The number of tangents to y^(2)=6x through (-1,-1) is

    Text Solution

    |

  9. If the ends of a focal chord of the parabola y^(2)=4ax are (x(1),y(1))...

    Text Solution

    |

  10. If (x(1), y(1)) and (x(2), y(2)) are the end points of a focal chord o...

    Text Solution

    |

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

    Text Solution

    |

  12. The slope of a chord of the parabola y^(2)=4ax which is normal at one ...

    Text Solution

    |

  13. On the parabola y^(2)=8x if one extremity of a focal chord is (1//2,-2...

    Text Solution

    |

  14. A focal chord of the parabola y^(2)=4ax meets it at P and Q . If S is...

    Text Solution

    |

  15. The latusrectum of a parabola whose focal chord is PSQ such that SP =3...

    Text Solution

    |

  16. The circle described on any focal chord of a parabola as diameter touc...

    Text Solution

    |

  17. The circle on a focal radius as diameter of a parabola y^(2)=4ax touch...

    Text Solution

    |

  18. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

    Text Solution

    |

  19. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

    Text Solution

    |

  20. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

    Text Solution

    |