Home
Class 12
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=8xdot`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The line x+y=6 is normal to the parabola y^(2)=8x at the point.

If the line with equestion x+y=6 is a normal to the parabola y^(2)=8x at point (a,b), bgt0 then a/b is equal to

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

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

Which of the following line,is a normal to the parabola y^(2)=16x?

Find the equation of the tangent and normal to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

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 ___________ .

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the coefficient of x^4 in the expansion of (1+ x +x^2+ x^3)^11

    Text Solution

    |

  2. The sum of digits in the unit's place of all numbers formed with th...

    Text Solution

    |

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

    Text Solution

    |

  4. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

  5. Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 ....

    Text Solution

    |

  6. The points (p,q +r) , (q, r+p) and (r, q+p) are "".

    Text Solution

    |

  7. lf r1 and r2 are the distances of points on the curve 10(ZbarZ)-3i(Z^2...

    Text Solution

    |

  8. int(dx)/(ax^(2)+bx+c)=k(1)tan^(-1)(x+A)/(B)+C if

    Text Solution

    |

  9. Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

    Text Solution

    |

  10. If the roots of ht cubic, x^3+a x^2+b x+c=0 are three consecutive pos...

    Text Solution

    |

  11. sum(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=

    Text Solution

    |

  12. underset(ntoprop)(lim)(n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/...

    Text Solution

    |

  13. The function y=(2x-1)/(x-2),(x!=2) (a)is its own inverse (b)decrea...

    Text Solution

    |

  14. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  15. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

    Text Solution

    |

  16. Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 ...

    Text Solution

    |

  17. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

    Text Solution

    |

  18. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

    Text Solution

    |

  19. If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= h...

    Text Solution

    |

  20. The value of the definite integral int0^(pi/2) ((1+sin3x)/(1+2sinx)) d...

    Text Solution

    |