Home
Class 12
MATHS
If at any point on a curve the surtangen...

If at any point on a curve the surtangent and subnormal are equal, then the tangent is equal to

A

ordinate

B

`sqrt2` ordinate

C

`sqrt(2"(ordinate)")`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

At any point of a curve ( subtangent) x (subnormal) is equal to the square of the-

if P is a point on parabola y^(2)=4ax such that subtangents and subnormals at P are equal, then the coordinates of P are:

Length of tangent; normal; subtangent and subnormal

At any point of a curve sqrt(("subnormal")/("subtangent")) is equal to

At any point on a curve , the slope of the tangent is equal to the sum of abscissa and the product of ordinate and abscissa of that point.If the curve passes through (0,1), then the equation of the curve is

Length OF tangent, Normal Subtangent and Subnormal

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

Find the curve for which area of triangle formed by x-axis,tangent drawn at any point on the curve and radius vector of point of tangency is constant,equal to a^(2)

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)

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

    |