Home
Class 12
MATHS
Find the points on the hyperbola 2x^(2)-...

Find the points on the hyperbola `2x^(2)-3y^(2)=6` at which the slop of the tangent line is (-1)

Text Solution

Verified by Experts

The correct Answer is:
`(3,-2) and (-3,2)`
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

Find the point in the first quadrant and lying on the hyperbola 5x^(2)-3y^(2)=-6 at which the tangent to the hyperbola makes an angle 45^(@) with the positive direction of the x-axis.

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.

Find the coordinates of points on the hyperbola xy=c^(2) at which the normal is perpendicular to the line x+t^(2)y=2c

Find the point on the curve y=x^(3) where the slop of the tangent is equal to x-coordinate of the point.

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

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

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

Find the point on the line 2x+3y =6 which is closest to the origin.

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

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).

CHHAYA PUBLICATION-TANGENT AND NORMAL -SHORT ANSWER TYPE QUESTIONS
  1. Find the points on the hyperbola 2x^(2)-3y^(2)=6 at which the slop of ...

    Text Solution

    |

  2. The slope of the tangent line to the curve x^(3)-x^(2)-2x+y-4=0 at som...

    Text Solution

    |

  3. The slope of the normal to the parabola 3y^(2)+4y+2=x at a point it i...

    Text Solution

    |

  4. Find the point on the parabla y=x^(2)-6x+9, where the tangent is para...

    Text Solution

    |

  5. Find the equation of the tangent and normal of the following curves at...

    Text Solution

    |

  6. Find the equation of the tangent and normal of the following curves at...

    Text Solution

    |

  7. Find the equation of the tangent of the following curve at the specif...

    Text Solution

    |

  8. Find the equation of the tangent and normal of the following curve at ...

    Text Solution

    |

  9. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  10. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  11. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  12. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  13. Find the equation of the tangent and normal to each of the following c...

    Text Solution

    |

  14. Show that the equation of the normal to the hyperbola x= a sec theta,...

    Text Solution

    |

  15. Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the po...

    Text Solution

    |

  16. If the tangent to the curve y=x^(3)+ax+b at (1,-6) is paralle to the l...

    Text Solution

    |

  17. The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(...

    Text Solution

    |

  18. Find the equations of the tangents to the circle x^(2)+y^(2)=16 having...

    Text Solution

    |

  19. The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos...

    Text Solution

    |

  20. Find the equation of the tangnet to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |