Home
Class 11
MATHS
Find the point where the line x+y=6 is a...

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

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

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=8x, is lamda =

Prove that the chord y-xsqrt(2)+4asqrt(2)=0 is a normal chord of the parabola y^2=4a x . Also find the point on the parabola when the given chord is normal to the parabola.

Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.

If the line x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), then the value of a+b is ___________ .

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

Prove that the the middle points of the normal chords of the parabola y^(2)=4ax is on the curve (y^(2))/(2a)+(4a^(3))/(y^(2))=x-2a

Find the euation of the normal to the parabola y^(2)=3x which is perpendicular to the line y=2x+4. also find the coordinates of the foot of the normal.

Find the equation of the normal to the parabola y^(2)=4ax at a point (x_(1),y_(1)) on it. Show that three normal can be drawn to a parabola from an external point.

Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t) . Hence, find the equation of the normal to this parabola which makes an angle 135^(@) with the x-axis.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the value of p such that vertex of y=x^(2)+2px+13 is 4 units abov...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The tangents to the parabola y^2=4x at the points (1, 2) and (4,4) mee...

    Text Solution

    |

  10. From an external point P , a pair of tangents is drawn to the parabola...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the slopes of the tangents to the parabola y^(2)=8x which are nor...

    Text Solution

    |

  13. Find the angle between the tangents drawn from (1, 3) to the parabola ...

    Text Solution

    |

  14. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

    Text Solution

    |

  15. The locus of the centre of a circle the touches the given circle exter...

    Text Solution

    |

  16. If on a given base B C , a triangle is described such that the sum of ...

    Text Solution

    |

  17. The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the...

    Text Solution

    |

  18. If the focus of a parabola is (2,3) and its latus rectum is 8, then fi...

    Text Solution

    |

  19. y^2+2y-x+5=0 represents a parabola. Find its vertex.

    Text Solution

    |

  20. Find equation of parabola which has axis parallel to y-axis and which ...

    Text Solution

    |