Home
Class 12
MATHS
The point on the parabola y^(2)=64x whic...

The point on the parabola `y^(2)=64x` which is nearest to the line `4x+3y+35=0` has coordinates

A

`(9, -24)`

B

`(1, 81)`

C

`(4, -16)`

D

`(-9, -24)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The point on the parabola 2y=x^(2) , which is nearest to the point (0, 3) is -

Determine a point on the parabola x^(2)=8y which is nearest to the point (2,4).

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 point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

The equation of the tangent to the parabola y^(2) = 8x which is perpendicular to the line x-3y+8=0 is -

The abscissa of the point on the parabola y^(2) = 2px which is nearest to the point (a, 0) is-

The coordinates of a point on the hyperbola (x^2)/(24)-(y^2)/(18)=1 which is nearest to the line 3x+2y+1=0 are

Let P be the point on the parabola y^(2)=4x which is at the shortest distance from the centre S of the circle x^(2)+y^(2)-4x-16y+64=0 . Let Q be the point on the circle dividing the line segment SP internally. Then

Find the point of the hyperbola (x^(2))/(24)-(y^(2))/(18)=1 which is nearest to the line 3x+2y+1=0 and compute the distance between the point and the line.

Using calculus find the cordinates of the point on the parabola y^(2)=12x at which the tangent are paralle to the line 2x+3y=5

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. Let p, q be real numbers . If alpha is the root of x^(2)+3p^(2)x+5q^(...

    Text Solution

    |

  2. The equation of the common tangent with positive slope to the parabola...

    Text Solution

    |

  3. The point on the parabola y^(2)=64x which is nearest to the line 4x+3y...

    Text Solution

    |

  4. Let z(1),z(2) be two fixed complex numbers in the Argand plane an...

    Text Solution

    |

  5. The function f(x)=(tan{pi[x-(pi)/(2)]})/(2+[x]^(2)) , where [x] denote...

    Text Solution

    |

  6. The function f(x)=a sin|x| +be^(|x|) is differentiable at x = 0 when

    Text Solution

    |

  7. If the coefficient of x^(8) in (ax^(2)+(1)/(bx))^(13) is equal to th...

    Text Solution

    |

  8. If I= int(0)^(2) e^(x^(4)) (x-a) dx=0, then alpha lies in the interva...

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

    Text Solution

    |

  10. Suppose that the equation f(x)=x^(2)+bx +c=0 has two distinct real ...

    Text Solution

    |

  11. The function f(x)=x^(2)+bx+c, where b and c real constants, describes

    Text Solution

    |

  12. Let n ge 2 bet an integer, A=((cos(2pi//n),sin(2pi//n),0),(-sin(2pi//n...

    Text Solution

    |

  13. Ram is visiting a friend. Ram knows that his friend has 2 children ...

    Text Solution

    |

  14. The value of the sum (""^(n)C(1))^(2)+(""^(n)C(2))^(2) +(""^(n)C(3))^(...

    Text Solution

    |

  15. The remainder obtained when 1!+2!+3!+…+11! is divided by 12 is

    Text Solution

    |

  16. Out of 7 consonants and 4 vowels, the number of words (not necessarily...

    Text Solution

    |

  17. Let S=(2)/(1)""^(n)C(0)+(2^(2))/(2)""^(n)C(1)+(2^(3))/(3)""^(n)C(2)+…+...

    Text Solution

    |

  18. Let RR be the set of all real numbers and f:[-1,1] to RR be defined by...

    Text Solution

    |

  19. If a, b and c are positive numbers in a G.P., then the roots of th...

    Text Solution

    |

  20. There is a group of 265 persons who like either singing or dancing o...

    Text Solution

    |