Home
Class 12
MATHS
If tangents are drawn from the origin to...

If tangents are drawn from the origin to the curve y = sin x then show that the locus of the point of contact is `x^2y^2 = x^2 - y^2`.

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

If tangents are drawn from the origin to the curve y = sin x, then show that the locus of the points of contact is x^(2) y^(2) = x^(2) - y^(2) .

If the tangent to the curve x = at^2 , y = 2at is perpendicular to x-axis then what is its point of contact ?

Find the equation of the tangent to the curve x = y^2-1 at the point where the slope of the normal to the curve is 2.

Find the points on the curve y = x^3 - 11x + 5 at which the equation of the tangent is y = x-11 .

Find the coordinates of the point on the curve x^2y - x + y = 0 where the slope of the tangent is maximum.

Write the equation of the tangent to the curve y=[x] at the point (-2,2).

or the curve y=3x^2 + 4x , find the slope of the tangent to the curve at a point where x-coordinate is -2

Prove that the line y=2x+5 is a tangent to the ellipse 9x^2+4y^2=36 and find the point of contact.

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Show that the length of the portion of the tangent to x^(2/3) + y^(2/3...

    Text Solution

    |

  2. Find the tangent to the curve y = cos (x + y), 0 lt x lt 2 pi which...

    Text Solution

    |

  3. If tangents are drawn from the origin to the curve y = sin x then sho...

    Text Solution

    |

  4. Find the equation of the normal to the curve given by x = 3 cos thet...

    Text Solution

    |

  5. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

    Text Solution

    |

  6. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  7. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  8. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  9. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  10. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  11. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  12. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  13. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  14. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  15. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  16. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  17. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  18. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  19. Give a rough sketch of the functions given in question 1.

    Text Solution

    |

  20. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

    Text Solution

    |