Home
Class 12
MATHS
The equation of normal to the curve (x/a...

The equation of normal to the curve `(x/a)^n+(y/b)^n=2(n in N)` at the point with abscissa equal to 'a can be

A

`ax+by=a^2-b^2`

B

`ax+by=a^2+b^2`

C

`ax-by=a^2-b^2`

D

`bx-ay=a^2-b^2`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos
  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

Similar Questions

Explore conceptually related problems

The equation of normal to the curve y=x^(3)-x^(2)-1 at the point whose abscissa is -2, is

Find the equation of the normal to the curve x^(2)+2y^(2)-4x-6y+8=0 at the point whose abscissa is 2 .

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.

The y-intercept of the line normal to the curve y^2=x^2+33(y gt 0) at the point with abscissa 4 is :

The equation of the tangent to the curve y=sqrt(9-2x^(2)) at the point where the ordinate & the abscissa are equal is

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

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

Equation of the tangent to the curve x^(n)-y^(n)=0 at (2, 2) is

The equation of the normal to the curve y=sin x at the point (pi,0) is: O x+y=pi O x+y+pi=0 O x-y=pi O x-y+n=0

The line (x)/(a)+(y)/(b)=2 touches the curve ((x)/(a))^(n)+((y)/(b))^(n)=2 at the point (a, b) for

MOTION-TANGENT & NORMAL-EXERCISE 3
  1. The tangent to y=a x^2+b x+7/2a t(1,2) is parallel to the normal at...

    Text Solution

    |

  2. Find the point on the curve y=x^3+x^2+x at which the tangent to the cu...

    Text Solution

    |

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

    Text Solution

    |

  4. If y=f(x) be the equation of a parabola which is touch by the line y=x...

    Text Solution

    |

  5. If the line, ax+ by + c = 0 is a normal to the curve xy =2

    Text Solution

    |

  6. If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the p...

    Text Solution

    |

  7. The corrdinate of the points(s) on the graph of the function, f(x)=(x^...

    Text Solution

    |

  8. For the curve represented parametrically by the equation, x=2log(cott)...

    Text Solution

    |

  9. The angle at which the curve y=ke^(kx) intersects Y-axis is

    Text Solution

    |

  10. Which of the following pair(s) of curves is/are orthogonal? y^2=4a x ...

    Text Solution

    |

  11. Consider the curve f(x)=x^(1/3), then

    Text Solution

    |

  12. In which of the following cases the given equations has atleast one ro...

    Text Solution

    |

  13. Find the equation of tangent to the curve y=1+e^(-2x) Where it cuts...

    Text Solution

    |

  14. Find the equation of normal to the curve x^3+y^3=8xy at point where it...

    Text Solution

    |

  15. Find the equation of the tangent line to the curve y=x^2-2x+7 which...

    Text Solution

    |

  16. Find the equation of the tangent line to the curvey =x^2-2x+7 which is...

    Text Solution

    |

  17. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  18. The tangent at a variable point P of the curve y = x^2 – x^3 meets it ...

    Text Solution

    |

  19. Find the points on the curve y=x^3 at which the slope of the tan...

    Text Solution

    |

  20. Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...

    Text Solution

    |