Home
Class 12
MATHS
Using calculus find the cordinates of th...

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`

Text Solution

Verified by Experts

The correct Answer is:
`((27)/(4),-9)`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|50 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise A MULTIPLE CORRECT ANSWER TYPE|5 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Using calculus find the coordinates of the point on the parabola y=x^(2) , which is at the least distance from the straight line y=2x-4 .

Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at the point (x_(1),y_(1)) , hence find the coordinates of the points on this ellipse at which the tangents are parallel to the line 2x-3y=6

Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents are paralle to x-axis.

Find the coordinates of a point on the parabola y=x^(2)+7x+2 which is closest to the straight line y=3x-3 .

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

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

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

Find the point on the parabla y=x^(2)-6x+9 , where the tangent is paralle to the line joining the points (4,1) and (3,0).

The equation of the tangent to the parabola y^(2) = 4x + 5 which is parallel to the line y= 2x + 7 is-

Find the point on the curve y=x^3-11 x+5 at which the tangent has the equation y=x-11

CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  2. Find the point on the curve y=x^(3) where the slop of the tangent is e...

    Text Solution

    |

  3. Using calculus find the cordinates of the point on the parabola y^(2)=...

    Text Solution

    |

  4. Find the eqauations of the tangent to the ellipse 4x^(2)+9y^(2)=36 at ...

    Text Solution

    |

  5. Find the equation of the tangent to the parabola y^(2)=8x which is inc...

    Text Solution

    |

  6. Find the equation of the tangent to the ellise x^(2)+16y^(2)=16 at the...

    Text Solution

    |

  7. Find the equation of the tangnet to the hyperbola 3x^(2)-4y^(2)=12, wh...

    Text Solution

    |

  8. Prove the equation of the tangent from any point on the line 3x-8y+2=0...

    Text Solution

    |

  9. If the length of the length drawn from (f,g) to the circle x^(2)+y^(2...

    Text Solution

    |

  10. Show that the equation of the normal to the ellipse (x^(2))/(25)+(y^(2...

    Text Solution

    |

  11. Show that the equation of the normal to the hyperbola (x^(2))/(a^(2))-...

    Text Solution

    |

  12. Find the equation of normal to the hyperbola x^(2)-y^(2)=16 " at " (4...

    Text Solution

    |

  13. Find the equation of normal to the parabola y^(2)=4x, paralle to the s...

    Text Solution

    |

  14. Find the equation of normal to the ellipse x^(2)+4y^(2)=4 at (2 ,1).

    Text Solution

    |

  15. Find the equation of that normal to the parabola x^(2)=4ay which maeks...

    Text Solution

    |

  16. Find the eqaution of that normal to the hyperbola 3x^(2)-2y^(2)=10 at ...

    Text Solution

    |

  17. Find the equation of normal to the parabola y^(2)=12x at (3t^(2),6t)....

    Text Solution

    |

  18. Prove that the normals at the points (1,2) and (4,4) of the parbola y...

    Text Solution

    |

  19. Find the equation of the normal to the hyperbola x^(2)=4y drawn at (2,...

    Text Solution

    |

  20. Find the equation of the normal to the hyperbola x^(2)-y^(2)=9 at the...

    Text Solution

    |