Home
Class 11
MATHS
If the line passing through the focus S ...

If the line passing through the focus `S` of the parabola `y=a x^2+b x+c` meets the parabola at `Pa n dQ` and if `S P=4` and `S Q=6` , then find the value of `adot`

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

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then (a) -1 1 (c) m in R (d) none of these

A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) intersects the two distinct point. If m be the slope of the line I,, then

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these

If y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Qa n dR , then find the midpoint of chord Q Rdot

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Q and R , then find the midpoint of chord Q Rdot

Radius of the largest circle which passes through the focus of the parabola y^2=4x and contained in it, is

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

Find the coordinates of the vertex and the focus of the parabola y^(2)=4(x+y) .

If the line x+y=a touches the parabola y=x-x^2, then find the value of adot

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Prove that the locus of the point of intersection of the normals at th...

    Text Solution

    |

  2. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  3. If the line passing through the focus S of the parabola y=a x^2+b x+c ...

    Text Solution

    |

  4. If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...

    Text Solution

    |

  5. Find the length of the normal chord which subtends an angle of 90^@ at...

    Text Solution

    |

  6. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  7. The abscissa and ordinates of the endpoints Aa n dB of a focal chord o...

    Text Solution

    |

  8. If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...

    Text Solution

    |

  9. A circle is drawn to pass through the extremities of the latus rectum ...

    Text Solution

    |

  10. Circles drawn on the diameter as focal distance of any point lying on...

    Text Solution

    |

  11. If the length of a focal chord of the parabola y^2=4a x at a distance ...

    Text Solution

    |

  12. Find the equation of the parabola whose focus is S(-1,1) and directrix...

    Text Solution

    |

  13. If x^2 + y^2 = log(xy) , find dy/dx .

    Text Solution

    |

  14. If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , the...

    Text Solution

    |

  15. Prove that the length of the intercept on the normal at the point P(a ...

    Text Solution

    |

  16. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

    Text Solution

    |

  17. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

    Text Solution

    |

  18. Three normals to y^2=4x pass through the point (15, 12). Show that one...

    Text Solution

    |

  19. Find the locus of the point from which the two tangents drawn to the ...

    Text Solution

    |

  20. Find the angle between the tangents drawn from the origin to the parab...

    Text Solution

    |