Home
Class 12
MATHS
Find the angle of intersection of the cu...

Find the angle of intersection of the curves `y=x^(2) and y=4-x^(2)`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Find the angle of intersection of the curves y =4-x^(2) and y=x^(2)

Find the angle of intersection of the curves: y^2=4x and x^2=4y

Find the angle of intersection of the curves: x^2+y^2-4x-1=0 and x^2+y^2 - 2y - 9 =0

Find the angle of intersection of the following curves: xy = 6 and x^2y = 12 .

Find the angle of intersection of curves y^2 = 4ax and x^2 = 4 by, ab ne 0

Find the area of the region bounded by the curves y=x^(2), y=|2-x^(2)|, and y=2, which lies to the right of the line x=1.

Find the area of the region bounded by the curves y=6x-x^2 and y=x^2-2x .

Find the angle of intersection of curves y=[|sinx|+|cosx|]a n dx^2+y^2=10, where [x] denotes the greatest integer

If the equation of two curve is y^(2)=4ax and x^(2)=4ay (i) Find the angle of intersection of two curves. (ii) Find the equation of common tangents to these curves.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the coordinates of the point on the curve sqrtx + sqrty = 4 at wh...

    Text Solution

    |

  2. Show that the equations of the normal at any point theta on the curve ...

    Text Solution

    |

  3. Find the angle of intersection of the curves y=x^(2) and y=4-x^(2).

    Text Solution

    |

  4. Show that the line x/a + y/b = 1 touches the curve y = be^(x//a) at th...

    Text Solution

    |

  5. Find the equation of the tangent to the curve y=sqrt(3x-2) which is pa...

    Text Solution

    |

  6. Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...

    Text Solution

    |

  7. Find the condition that the curves 2x = y^2 and 2 xy = k may intersect...

    Text Solution

    |

  8. For the curve y = 5x - 2x^3, if x increases at te rate of 2units/s, th...

    Text Solution

    |

  9. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  10. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  11. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  12. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  13. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  14. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  15. In the following problems, use differentials to find the approximate v...

    Text Solution

    |

  16. If y = sin x and x change form pi/2 to 22/14, what is the approximate ...

    Text Solution

    |

  17. A circular metal plate expands under heating so that its radius increa...

    Text Solution

    |

  18. If the side of a cube be increased by 0.1%. Find the corresponding inc...

    Text Solution

    |

  19. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  20. If the radius of a sphere is measured as 9 cm with an error of 0.03 cm...

    Text Solution

    |