Home
Class 12
MATHS
Find the point on the curve y=3x^2-9x+8 ...

Find the point on the curve `y=3x^2-9x+8` at which the tangents are equally inclined with the axes.

Text Solution

Verified by Experts

The correct Answer is:
`((4)/(3),(4)/(3));((5)/(3),(4)/(3)).`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise COMPLETITION FILE (Questions from JEE Main)|18 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Exercise|15 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Find the point on the curve y=x^(3)-11x+5 at which the tangent is y=x-11

Find the point on the curve y=x^(2)-x-8 at which the tangent is parallel to a-axis.

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

Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

Find the points on the curve y=x^(3)-2x^(2)-x at which the tangent lines are parallel to the line y=3x-2

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .

Find the points on the ellipse x^(2)+3y^(2)=6 where the tangent are equally inclined to the axes.Prove also that the length of the perpendicular from the centre on either of these tangents is 2 .

Find the points on the curve x y+4=0 at which the tangents are inclined at an angle of 45o with the x-axis.

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Revision Exercise
  1. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  2. if the straight line xcosalpha+y sin alpha=p touches the curve x^my^n=...

    Text Solution

    |

  3. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

    Text Solution

    |

  4. The equation of the tangent at (2,3) on the curve y^2=a x^3+b is y=4x-...

    Text Solution

    |

  5. A circular disc of radius 3 cm is being heated. Due to expansion, i...

    Text Solution

    |

  6. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximatel...

    Text Solution

    |

  7. If the error committed in measuring the radius of a circle is 0.01%, f...

    Text Solution

    |

  8. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

    Text Solution

    |

  9. The area S of a triangle is calculated by measuring the sides b and c,...

    Text Solution

    |

  10. The pressure p and the volume v of a gas are connected by the relat...

    Text Solution

    |

  11. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

    Text Solution

    |

  12. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  13. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  14. Show that s in^p\ theta\ cos^q\ theta attains a maximum, when theta...

    Text Solution

    |

  15. The fraction exceeds its p^(th) power by the greatest number possible...

    Text Solution

    |

  16. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |

  17. Divide 4 into two positive numbers such that the sum of the square of ...

    Text Solution

    |

  18. A cylindrical can to be made to hold 1 litres of oil. Find the dimensi...

    Text Solution

    |

  19. Find the shortest distance of the point (0, c) from the curve y=x^(2),...

    Text Solution

    |

  20. A beam of length l is supported at one end. If W is the uniform loa...

    Text Solution

    |