Home
Class 12
MATHS
For the curve 4x^(5)=5y^(4), the ratio o...

For the curve `4x^(5)=5y^(4)`, the ratio of the cube of the suctangent at a point on the curve to the square of the subnormal at the same point is

A

`y(5/4)^(4)`

B

`x(4/5)^(4)`

C

`(5/4)^(4)`

D

`(4/5)^(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2009

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2012

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

For the curve 4x^(5)=5y^(4) , the ratio of the cube of the sub-tangent at a point on the curve to the square of the sub-normal at the same point is :

For the curve xy=c^(2) the subnormal at any point varies as

If the subnormal at any point on the curve y^(n) = ax is a constant, then n=

For the curve xy^(m)=a^(m+1) the length of the subnormal at any point is a constant. Then the value of m must be

The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax is

The point on the curve y^(2) = 4x which is nearest to the point (2,1) is

For the curve y=ax^(n) the length of the subnormal at any point is a constant. The value of n must be

The point on the curve x^(2) = 2y which is nearest to the point (0,5) is

The abscissa of the point on the curve 3y=6x-5x^(3) , the normal at which passes through origin is :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2010-Mathematics
  1. If x=acos^(3)thetaandy=asin^(3)theta",then "(dy)/(dx)=

    Text Solution

    |

  2. If y=tan^(-1)sqrt(x^(2)-1), then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)...

    Text Solution

    |

  3. P is the point of contact of the tangent from the origin to the curve ...

    Text Solution

    |

  4. For the curve 4x^(5)=5y^(4), the ratio of the cube of the suctangent a...

    Text Solution

    |

  5. The set of real values of x for which f(x)=(x)/(Logx) is increasing is

    Text Solution

    |

  6. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  7. Two circles centered at (2,3) and (5,6) intersect each other. If the r...

    Text Solution

    |

  8. Equation of the circle centered at (4,3) touching the circle x^(2)+y^(...

    Text Solution

    |

  9. The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

    Text Solution

    |

  10. The locus of the point of intersection of the tangents drawn at the en...

    Text Solution

    |

  11. The condition for the line y=mx+c to be a normal to the parabola y^(2)...

    Text Solution

    |

  12. The eccentric angle of the point (2,sqrt(3)) lying on (x^(2))/(16)+(y^...

    Text Solution

    |

  13. The distance of the focua of x^(2)-y^(2)=4 from the directrix which is...

    Text Solution

    |

  14. If f(x)sinx.cosxdx=(1)/(2(b^(2)-a^(2)))logf(x)+c, where c is the const...

    Text Solution

    |

  15. If int(sqrtx)/(x(x+1))dx=ktan^(-1)m,then (k,m) is

    Text Solution

    |

  16. int(0)^(pi//4)(sinx+cosx)/(3+sin2x)dx=

    Text Solution

    |

  17. int(0)^(3)x(1-x)^(3//2)dx=

    Text Solution

    |

  18. The area bounded by the curve y={:{(x^(2)","xlt0),(x","xge0):} and the...

    Text Solution

    |

  19. The order and degree of the differential equation y=(dp)/(dx)x+sqrt(a^...

    Text Solution

    |

  20. The general solution of the differential equation 2x(dy)/(dx)-y=3 is a...

    Text Solution

    |