Home
Class 12
MATHS
For a curve (length of normal)^2/(length...

For a curve (length of normal)^2/(length of tangent)^2 is equal to

A

(subnormal)/(subtangent)

B

(subtangent)/(subnormal)

C

(subnormal)/`("subtangent")^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 3|36 Videos

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 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

For a curve (length of normal) sim2/( length of tangent) 2 is equal to

" For a curve "(("length of normal"))/(("length of tangent")) is equal to

A curve passes through (1,2) is such that the length of the normal at any of its point is equal to 2. The curve can be

The length of the normal from ongin to the plane x+2y-2z=9 is equal to :

Find the curve for which the length of normal is equal to the radius vector.

Find the curves for which the length of normal is equal to the radius vector.

Determine p such that the length of the such- tangent and sub-normal is equal for the curve y=e^(px)+px at the point (0,1)

On the curve y=f(x) the length of tangent and length of subnormal at (x,y),y!=0, are equal,then square of slope of tangent will be

Length of tangent; normal; subtangent and subnormal

The curve for which the length of the normal is equal to the length of the radius vector is/are (a) circles (b) rectangular hyperbola (c) ellipses (d) straight lines

MOTION-TANGENT & NORMAL-EXERCISE 1
  1. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

  2. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  3. if the tangent ta the curve x=a(1+sintheta) , y=a(1+costheta) at theta...

    Text Solution

    |

  4. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  5. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |

  6. The ordinate of y=(a/2)(e^(x/a)+e^(-x/a))is the geometric mean of the ...

    Text Solution

    |

  7. For a curve (length of normal)^2/(length of tangent)^2 is equal to

    Text Solution

    |

  8. If at any point on a curve the surtangent and subnormal are equal, the...

    Text Solution

    |

  9. The curves x^3+p xy^2=-2 and 2x^2y-y^3=2 are othogonal for

    Text Solution

    |

  10. If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy=c^2 intersect othrogonally ...

    Text Solution

    |

  11. Equation of the normal to the curve y=-sqrtx+ 2 at the point of its in...

    Text Solution

    |

  12. The curve C1:y=1-cosx,x in(0,pi) and C2:y=(sqrt3)/(2)|x|+a will touch ...

    Text Solution

    |

  13. Use differential to approximate sqrt(36.6)

    Text Solution

    |

  14. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  15. If f(x)=3x^2+15 x+5,then the approximate value of f (3. 02)is(A) 47.6...

    Text Solution

    |

  16. Water is being poured on to a cylindrical vessel at the rate of 1 m^3/...

    Text Solution

    |

  17. Water is poured into an inverted conical vessel of which the radius of...

    Text Solution

    |

  18. The area of the triangle formed by the positive x-axis and the normal ...

    Text Solution

    |

  19. Sketch the graph of y=(x^3)/(3)-(3x^2)/(2)+2x+6

    Text Solution

    |

  20. Sketch graph of y=("Inx")/x

    Text Solution

    |