Home
Class 12
MATHS
If P be a point on the parabola y^2 = 4a...

If `P` be a point on the parabola `y^2 = 4ax` with focus `F`. Let Q denote the foot of the perpendicular from `P` onto the directrix. Then, `(tan /_PQF)/(tan /_PFQ)` is

A

1

B

`1//2`

C

2

D

`1//4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : Single Option Correct Type)|5 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos

  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : One or More than One Option Correct Type)|15 Videos

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 3 : One or More than One Option Correct Type (2 Marks) )|3 Videos

  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos

Similar Questions

Explore conceptually related problems

P is any point on the parabola, y^2=4ax whose vertex is A. PA is produced to meet the directrix in D & M is the foot of the perpendicular from P on the directrix. The angle subtended by MD at the focus is: (A) pi/4 (B) pi/3 (C) (5pi)/12 (D) pi/2

Pis a point on the parabola y^(2)=4ax(a<0) whose vertex is A.PA is produced to meet the directrix in M is the foot of the perpendicular from P on the directrix.If a circle is described on MD as a diameter then it intersects the X- axis at a point whose co-ordinates are:

If P be a point on the parabola y^(2)=3(2x-3) and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sires of the parateral triangle SMP(where S is the focus of the parabola),is

P is the point on the parabola y^(2)=4ax(a>0) whose vertex is A .PA produced to meet the directrix in D and M is the foot of perpendicular from P on the directrix. If a circle is described on MD as a diameter, then its intersect x -axis at a point whose coordinates are

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x is:

Let P be a point on the parabola, y^(2)=12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN,parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is (4)/(3), then

Foot of the directrix of the parabola y^(2) = 4ax is the point

Let p be a point on the parabola y^(2)=4ax then the abscissa of p ,the ordinates of p and the latus rectum are in

A point on a parabola y^(2)=4ax, the foot of the perpendicular from it upon the directrix,and the focus are the vertices of an equilateral triangle.The focal distance of the point is equal to (a)/(2) (b) a (c) 2a (d) 4a

T is a point on the tangent to a parabola y^(2) = 4ax at its point P. TL and TN are the perpendiculars on the focal radius SP and the directrix of the parabola respectively. Then

MTG-WBJEE-CONIC SECTIONS-WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)
  1. The line y=x intersects the hyperbola x^2/9-y^2/25=1 at the points P a...

    Text Solution

    |

  2. If the distance between the foci of an ellipse is half the length of i...

    Text Solution

    |

  3. If P be a point on the parabola y^2 = 4ax with focus F. Let Q denote t...

    Text Solution

    |

  4. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

    Text Solution

    |

  5. The point on the parabola y^2= 64x which is nearest to the line 4x +3y...

    Text Solution

    |

  6. The value of lambda for which the curve (7x + 5)^2 + (7y + 3)^2 = lam...

    Text Solution

    |

  7. The equation of the common tangent with positive slope to the parabola...

    Text Solution

    |

  8. The the vertex of the conic y^(2)-4y=4x-4a always lies between the str...

    Text Solution

    |

  9. Number of intersecting points of the coincs 4x^2+9y^2=1 and 4x^2+y^2=4...

    Text Solution

    |

  10. Then equation of auxiliary circle of the ellipse 16x^2 + 25y^2 +32x-10...

    Text Solution

    |

  11. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

    Text Solution

    |

  12. The line y=x+lambda is a tangent to an ellipse 2x^2+3y^2=1 then

    Text Solution

    |

  13. The locus of the point of intersection of the straight lines x/a+y/b=k...

    Text Solution

    |

  14. Let P be the foot of the perpendicular from focus S of hyperbola x^2/a...

    Text Solution

    |

  15. B is extermity of the minor axis of an elipse whose foci are S and S'....

    Text Solution

    |

  16. The axis of the parabola x^2+2x y+y^2-5x+5y-5=0 is

    Text Solution

    |

  17. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

    Text Solution

    |

  18. The focus of the conic x^(2)-6x+4y+1=0 is

    Text Solution

    |

  19. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

    Text Solution

    |

  20. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

    Text Solution

    |