Home
Class 12
MATHS
The equation of the tangent to the curve...

The equation of the tangent to the curve `(x/a)^(n) + (y/b)^(n) = 2` at (a, b) is

A

x/a + y/b = 2

B

x/a + y/b = 1/2

C

x/a - y/b = 2

D

ax + by = 2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The equation of the tangent to the curve x^(n) + y^(n) = 2a^(n) at (a, a) is

The equation of the tangent to the curve 6y=7-x^(3) at (1,1) is

The equation of the tangent to the curve y^(2)=4ax at the point (at^(2), 2at) is :

The equation of the common tangent to the curves y^2=8x and xy =-1 is :

The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^(2)=4x is :

The equation of the tangent to the curve y(1+x^(2)) = 2-x , where it crosses x-axis is

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

The equation of the tangent to the curve y = x^(3)-2x+1 at the point (1,6) is

The equation of the tangent to the curve: x^2-y^2-8x+2y+11=0 at (2,1) is :

The equation of the horizontal tangent to the curve y=e^(x)+e^(-x) is :

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The points on the curve y=12x-x^(3), the tangents at which are paralle...

    Text Solution

    |

  2. The angle between the curves y^(2) =x and x^(2) = y at (1,1) is

    Text Solution

    |

  3. The equation of the tangent to the curve (x/a)^(n) + (y/b)^(n) = 2 at ...

    Text Solution

    |

  4. The curves 4x^(2) + 9y^(2) = 72 and x^(2) - y^(2) = 5 at (3,2)

    Text Solution

    |

  5. The angle between the curves xy = 2 and y^(2) = 4x at their point of ...

    Text Solution

    |

  6. The two curves y^(2) = 4x and x^(2)+y^(2)-6x +1 =0 at the point (1,2)

    Text Solution

    |

  7. The curve y = ax^(3) +bx^(2) +cx +5 touches the x-axis at A(-2,0) and ...

    Text Solution

    |

  8. The abscissa of the point on the curve xy = (c+x)^(2), the normal at w...

    Text Solution

    |

  9. If the line ax+by+c=0 is a normal to the curve xy=1, then :

    Text Solution

    |

  10. The radius of a cylinder is increasing at the rate of 3 m/sec and its...

    Text Solution

    |

  11. A particle moves so that the space described in time 't' is square roo...

    Text Solution

    |

  12. On uniform heating, the side of a square sheet of metal is increasing ...

    Text Solution

    |

  13. The radius of a circular plate is increasing at the rate of 0.01cm/sec...

    Text Solution

    |

  14. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  15. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  16. The slope of the normal to the curve y = 2x^(3)+3 sin x at x = 0 is

    Text Solution

    |

  17. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

    Text Solution

    |

  18. The maximum value of [x(x-1)+1]^(1/3) is 0 le x le 1 is

    Text Solution

    |

  19. The points on the curve 9y^(2) = x^(3) where the normal to the curve m...

    Text Solution

    |

  20. The normal at the point (1,1) on the curve 2y = 3-x^(2) is

    Text Solution

    |