Home
Class 12
MATHS
Tangents are drawn from the origin to th...

Tangents are drawn from the origin to the curve `y = sin x`. Prove that their points of contact lie on the curve `x^(2) y^(2) = (x^(2) - y^(2))`

A

`x-y =xy`

B

`x+y =xy`

C

`x^(2) -y^(2) =x^(2)y^(2)`

D

`x^(2)+y^(2)=x^(2)y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn from origin to the curve y=sin+cos x Then their points of contact lie on the curve

3.(1) x + y = 0(2) x - y = 0If tangents are drawn from the origin to the curve y = sin x, then their points of contact lie on the curve(3) x2 - y2 = x2y2 (4) x2 + y2 = x2y2(2) x + y = xy(1) X- y = xy

Tangents are drawn from the origin to curve y=sin x. Prove that points of contact lie on y^(2)=(x^(2))/(1+x^(2))

Tangents are drawn from the origin to the curve y=cos X. Their points of contact lie on

Tangents are drawn to the curve y=sin x from the origin.Then the point of contact lies on the curve (1)/(y^(2))-(1)/(x^(2))=lambda. The value of lambda is equal to

The equation of the common normal at the point of contact of the curves x^(2)=y and x^(2)+y^(2)-8y=0

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

  2. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

    Text Solution

    |

  3. Tangents are drawn from the origin to the curve y = sin x. Prove that ...

    Text Solution

    |

  4. Q. Number of tangents drawn from the point (-1/2, 0) to the curve y=e^...

    Text Solution

    |

  5. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  6. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  7. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  8. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  9. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  10. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  11. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  12. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  13. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  14. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  15. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  16. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  17. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  18. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |

  19. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  20. Statement 1: ABC is given triangle having respective sides a,b,c. D,E,...

    Text Solution

    |