Home
Class 12
MATHS
Find the required point be P(x1, y1)dot ...

Find the required point be `P(x_1, y_1)dot` The tangent to the curve `sqrt(x)+sqrt(y)=4` at which tangent is equally inclined to the axes.

Text Solution

Verified by Experts

The correct Answer is:
(4,4)
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 2 MARK QUESTIONS|20 Videos

  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

Find the required point be P(x_(1),y_(1)). The tangent to the curve sqrt(x)+sqrt(y)=4 at which tangent is equally inclined to the axes.

Find the point on the curve y=3x^(2)-9x+8 at which the tangents are equally inclined with the axes.

The equation of tangent to the curve sqrt(x)-sqrt(y)=1 at (9,4) is

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

The number of tangents to the curve x^(2//3)+y^(2//3)=a^(2//3) which are equally inclined to the axes is

Find the equation of the tangent to the curve sqrt(x)+sqrt(y)=a , at the point (a^2//4,\ a^2//4) .

Find the point at which the tangent to the curve y=sqrt(4x-3)-2 is vertical ?

Find the equation of the tangent to the curve sqrt(x)+sqrt(y)=a at the point ((a^(2))/(4),(a^(2))/(4))

Find the equation of the tangent to the curve sqrt(x)+sqrt(y)=a, at the point ((a^(2))/(4),(a^(2))/(4))

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/...

    Text Solution

    |

  2. Find the equation of the tangent line to the curve y=x^2-2x+7which is(...

    Text Solution

    |

  3. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

    Text Solution

    |

  4. Find a point on the parabola y=(x-3)^2 , where the tangent is pa...

    Text Solution

    |

  5. Find the equation of the normal to the curve y=e^(2x)+x^(2)" at "x=0. ...

    Text Solution

    |

  6. The line (x)/(a)+(y)/(b)=1 touches the curve y=be^(-x//a) at the point

    Text Solution

    |

  7. At what point on the circle x^(2)+y^(2)-2x-4y+1=0 the tangent is paral...

    Text Solution

    |

  8. Show that the equation of the normal at any point 'theta' on the curve...

    Text Solution

    |

  9. Show that the curves x y=a^2a n dx^2+y^2=2a^2 touch each other

    Text Solution

    |

  10. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

    Text Solution

    |

  11. Find the condition for the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and...

    Text Solution

    |

  12. Show that the curves y=a^(x) and y=b^(x), a gt b gt 0 intersect at an ...

    Text Solution

    |

  13. Find the equation of the normal to the curve ay^(2)=x^(3) at the point...

    Text Solution

    |

  14. Find the equation of the normal at a point on the curve x^(2)=4y, whic...

    Text Solution

    |

  15. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  16. Show that the tangents to the curve y=2x^3-3 at the points where x=...

    Text Solution

    |

  17. Using differentials, find the approximate value of (66)^(1//3)

    Text Solution

    |

  18. sqrt(401)

    Text Solution

    |

  19. Using differentials, find the approximate value of sqrt(0.037).

    Text Solution

    |

  20. sqrt(25.3)

    Text Solution

    |