Home
Class 11
MATHS
Two mutually perpendicular tangents of t...

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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

The tangents to the parabola y^2=4a x at the vertex V and any point P meet at Q . If S is the focus, then prove that S PdotS Q , and S V are in GP.

The tangents to the parabola y^2=4a x at the vertex V and any point P meet at Q . If S is the focus, then prove that S PdotS Q , and S V are in GP.

If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G and S is the focus then SG=

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

If the tangents at the points Pa n dQ on the parabola y^2=4a x meet at T ,a n dS is its focus, the prove that S P ,S T ,a n dS Q are in GP.

Let tangent PQ and PR are drawn from the point P(-2, 4) to the parabola y^(2)=4x . If S is the focus of the parabola y^(2)=4x , then the value (in units) of RS+SQ is equal to

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

Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a t),t!=0, meet the x-axis at point Ta n dN , respectively. If S is the focus of theparabola, then (a) S P=S T!=S N (b) S P!=S T=S N (c) S P=S T=S N (d) S P!=S T!=S N

If the normals to the parabola y^2=4a x at three points P ,Q ,a n dR meet at A ,a n dS is the focus, then S PdotS qdotS R is equal to a^2S A (b) S A^3 (c) a S A^2 (d) none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A line is drawn form A(-2,0) to intersect the curve y^2=4x at P and Q ...

    Text Solution

    |

  2. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

    Text Solution

    |

  3. Two mutually perpendicular tangents of the parabola y^2=4a x meet the ...

    Text Solution

    |

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

    Text Solution

    |

  5. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

    Text Solution

    |

  6. If y1, y2, y3 be the ordinates of a vertices of the triangle inscr...

    Text Solution

    |

  7. The circle x^2+y^2+2lambdax=0,lambda in R , touches the parabola y^2=...

    Text Solution

    |

  8. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  9. Parabola y^2=4a(x-c1) and x^2=4a(y-c2) , where c1a n dc2 are variable,...

    Text Solution

    |

  10. A circle touches the x-axis and also thouches the circle with center ...

    Text Solution

    |

  11. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  12. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  13. If the liney-sqrt(3)x + 3=0 cuts the parabola y^2=x + 2 at A and B, th...

    Text Solution

    |

  14. The locus of a point on the variable parabola y^2=4a x , whose distan...

    Text Solution

    |

  15. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  16. The angle between the tangents drawn from the point (1,4) to the para...

    Text Solution

    |

  17. Statement 1: There are no common tangents between the circle x^2+y^2...

    Text Solution

    |

  18. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  19. C is the centre of the circle with centre (0,1) and radius unity. y=ax...

    Text Solution

    |

  20. The set of points on the axis of the parabola (x-1)^2=8(y+2) from wher...

    Text Solution

    |