Home
Class 12
MATHS
A focal chord of y^(2)=4ax meets it in ...

A focal chord of `y^(2)=4ax` meets it in P and Q. If S is the focus, then `(1)/(SP)+(1)/(SQ)=`

A

`(1)/(a)`

B

`(4)/(a)`

C

`(2)/(a)`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos
  • UNIT TEST PAPER NO. 5 (CALCULUS)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

The tangent to a parabola at the vertex A and any point P meet at Q if S is the focus then SP ,SQ SA are in

If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L is its semi latus rectum then S P, S L, S P^(prime) are in

Given P (at^(2), 2at) , Q ((a)/(t^(2)) , (-2a)/(t) ) , and S(a, 0 ) , show that (1)/(SP) + (1)/(SQ) is independent of t .

If P is a point on the rectangular hyperbola x^2-y^2=a^2,C being the centre and S, S' are two foci , then S.P S'P equals

A set of parallel chords of the parabola y^(2)=4ax have their mid point on any st line

Length of focal of the parabola y^(2)=4ax making an angle alpha with the axis of the parabola is

If PSQ is a focal chord of the ellipse 16x^(2)+25y^(2)=400 such that SP=16, then the length SQ is

If PSQ is a focal chord of the ellipse 16x^2+25y^2=400 such that SP=8, then find the length of SQ is (a) 2 (b) 1 (c) 8/9 (d) 16/9

AB is a chord of a parabola y^(2)=4ax with the end A at the vertex of the given parabola BC is drawn perpendicular to AB meeting the axis of the parabola at C then the projection of BC on this axis is

MODERN PUBLICATION-UNIT TEST PAPER NO. 2 (GEOMETRIES)-Select the correct answer
  1. Volume of a tetrahedron is k (area of one face) (length of perpendicul...

    Text Solution

    |

  2. Area of the triangle with vertices (a, b ), (x(1), y(1)) and (x(2), y(...

    Text Solution

    |

  3. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

    Text Solution

    |

  4. The lines joining the origin to the points of intersection of the curv...

    Text Solution

    |

  5. Range of volues of m for which the st. line y=mx+2 cuts the circle x^(...

    Text Solution

    |

  6. The abscissae of two points P and Q are the roots of the equation x^(2...

    Text Solution

    |

  7. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

    Text Solution

    |

  8. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  9. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

    Text Solution

    |

  10. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  11. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  12. The points representing root3(5+isqrt(3)) lie.

    Text Solution

    |

  13. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

    Text Solution

    |

  14. The area of the rectangle formed by the perpendiculars from the centre...

    Text Solution

    |

  15. A ray of light coming along the line 3x+4y-5=0 gets reflected from th...

    Text Solution

    |

  16. If P and Q are two points on the circle : x^(2)+y^(2)-4x-4y-1=0, whi...

    Text Solution

    |

  17. A focal chord of y^(2)=4ax meets it in P and Q. If S is the focus, th...

    Text Solution

    |

  18. The eccentric angles of the extremities of latus-rectum to the ellips...

    Text Solution

    |

  19. The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^...

    Text Solution

    |

  20. Tangent at any point 'P' of the ellipse 9x^(2)+16y^(2)-144=0 is drawn....

    Text Solution

    |