Home
Class 11
MATHS
If the tangent at the point P(2,4) to th...

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 QR.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

The tangent at any point P on the circle x^2+y^2=4 meets the coordinate axes at A and B . Then find the locus of the midpoint of A Bdot

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at the point-

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then the locus of Pdot is a) a cicle b) a parabola c) a straight line d) none of these

The vertex of the parabola x^(2)+2y=8x-7 is

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

The common tangents to the circle x^(2)+y^(2)=2 and the parabola y^(2)=8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQSR is

Consider an ellipse (x^2)/4+y^2=alpha(alpha is parameter >0) and a parabola y^2=8x . If a common tangent to the ellipse and the parabola meets the coordinate axes at Aa n dB , respectively, then find the locus of the midpoint of A Bdot

Find the position of points P(1,3) w.r.t. parabolas y^(2)=4x and x^(2)=8y .

Find the equation of the common tangent to the circle x^(2)+y^(2)=8 and the parabola y^(2)=16x .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The equation of the line passing through the points of intersection of...

    Text Solution

    |

  2. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  3. If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the ...

    Text Solution

    |

  4. Find the locus of the midpoints of the portion of the normal to the pa...

    Text Solution

    |

  5. An equilateral triangle is inscribed in the parabola y^(2)=4ax, such...

    Text Solution

    |

  6. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

    Text Solution

    |

  7. Find the locus of the middle points of chords of a parabola y^(2)=4ax ...

    Text Solution

    |

  8. A quadrilateral is inscribed in a parabola y^2=4a x and three of its s...

    Text Solution

    |

  9. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

    Text Solution

    |

  10. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n d a ,...

    Text Solution

    |

  11. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

    Text Solution

    |

  12. A P is perpendicular to P B , where A is the vertex of the parabola y^...

    Text Solution

    |

  13. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

    Text Solution

    |

  14. The point (a,2a) is interior region bounded by the parabola y^(2)=16x ...

    Text Solution

    |

  15. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

    Text Solution

    |

  16. Find the equation of the tangent to the parabola 9x^(2)+12x+18y-14=0 w...

    Text Solution

    |

  17. Find the angle between the tangents drawn to y^(2)=4x, where it is int...

    Text Solution

    |

  18. How many distinct real tangents that can be drawn from (0,-2) to th...

    Text Solution

    |

  19. Find the angle at which the parabola y^(2)=4xandx^(2)=32y intersect.

    Text Solution

    |

  20. The tangents at the points P and Q on the parabola y^(2)=4ax meet at T...

    Text Solution

    |