Home
Class 12
MATHS
If the slope of the curve y = (ax)/(b-x)...

If the slope of the curve `y = (ax)/(b-x)` at the point (1, 1) is 2. Then, find the value of a and b.

Text Solution

Verified by Experts

The correct Answer is:
a = 1, b = 2
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|6 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (VERY SHORT ANSWER TYPE QUESTIONS )|12 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

The slope of the curve 2y^2 = ax^2 + b at (1, -1) is- 1. Find a and b.

What is the slope of the normal to the curve 2y = 3-x^2 at the point (1,1)?

Find the slope of normal to the curve y = sin^(2) x at x = pi//4 .

Find the slope of tangent to the curve y = x^(2) + x + 1 at x = 1.

Find the slope of the tangent to the curve y = x^(3) - "x at x" = 2 .

Find the slope of the normal to the curve y=xe^-x at x=2.

Find the equation of tangents to the curve y = (x^(3) - 1) (x - 2) at the points, where the curve cuts the X-axis.

Find the equation of the tangent to the curve x = y^2-1 at the point where the slope of the normal to the curve is 2.

ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -CHAPTER PRACTICE (SHORT ANSWER TYPE QUESTIONS )
  1. The volume of a spherical balloon is increasing at the rate of 25 cm^(...

    Text Solution

    |

  2. A balloon which always remains sperical is being inflated by pumping i...

    Text Solution

    |

  3. If the slope of the curve y = (ax)/(b-x) at the point (1, 1) is 2. The...

    Text Solution

    |

  4. Find the points on the curve y = x^3 – 3x^2 + 2x at which the tangents...

    Text Solution

    |

  5. Find a point on the curve f(x)=(x-3)^2, where the tangent is parallel ...

    Text Solution

    |

  6. Find the points on the curve x^(2) + y^(2) - 2x - 3 = 0 at which the t...

    Text Solution

    |

  7. Find the equation of tangent and normal to the ellipse (x^(2))/(a^(2))...

    Text Solution

    |

  8. Find the equation of the tangent and normal to the curve 16x^(2) + 9y^...

    Text Solution

    |

  9. Find the equations of tangent and normal to curve x = 1 - cos theta an...

    Text Solution

    |

  10. Find the equation of the normal lines to the curve 3x^(2) - y^(2) = 8,...

    Text Solution

    |

  11. Find the equations of all lines having slope -1, that are tangent to t...

    Text Solution

    |

  12. Show that the line (x)/(a) + (y)/(b) = 1, touches the curve y = be^(-x...

    Text Solution

    |

  13. If the straight line x cos alpha + y sin alpha = p touches the curve (...

    Text Solution

    |

  14. Prove that the curves y^(2) = 4ax and xy = c^(2) cut at the right angl...

    Text Solution

    |

  15. Find the intervals in which the function given by f(x) = sin 3x, x in ...

    Text Solution

    |

  16. Find the intervals of the function f(x) = 4 sin^(3) x - 6 sin^(2) x + ...

    Text Solution

    |

  17. Find the values of k for which f(x) = kx^(3) - 9kx^(2) + 9x + 3 is inc...

    Text Solution

    |

  18. Determine the interval in which the function f(x) = 2x^(3) - 15x^(2) +...

    Text Solution

    |

  19. Find the interval(s) in which the following functions are (i) increa...

    Text Solution

    |

  20. Find the interval(s) in which the following functions are (i) increa...

    Text Solution

    |