Home
Class 12
MATHS
Find the equation of the tangent to the ...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi/4dot

Find the equation of tangent to curve y=3x^(2) +4x +5 at (0,5) .

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

Find the equation of the tangent to the curve y=sqrt(4x-2)\ which is parallel to the line 4x-2y+5=0

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangent to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y + 5 =0 .

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0

Find the equation of tangent to the curve y=sin^(-1)(2x)/(1+x^2)a tx=sqrt(3)

Find the equation of the tangent line to the curve y=sqrt(5x-3)-2 which is parallel to the line 4x-2y+3=0 .

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the angle of intersection of the following curves : y^2=x \ a n ...

    Text Solution

    |

  2. Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=...

    Text Solution

    |

  3. Find the equation of the tangent to the curve sq...

    Text Solution

    |

  4. Find a point on the curve y=x^3-3x where the tangent is parallel to th...

    Text Solution

    |

  5. Find the points on the curve x y+4=0 at which the tangents are incline...

    Text Solution

    |

  6. Find the equation of normal line to the curve y=x^3+2x+6 which is para...

    Text Solution

    |

  7. If the tangent to the curve y=x^3+a x+b at (1,6) is parallel to the l...

    Text Solution

    |

  8. Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi...

    Text Solution

    |

  9. Prove that (x/a)^n+(y/b)^n=2 touches the straight line x/a+y/b=2 for...

    Text Solution

    |

  10. At what point on the circle x^2+y^2-2x-4y+1=0, the tangent is paralle...

    Text Solution

    |

  11. Find the point on the curve y=x^2 where the slope of the tangent is eq...

    Text Solution

    |

  12. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 be p...

    Text Solution

    |

  13. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  14. Find the point on the curve y=3x^2+4 at which the tangent is perpendic...

    Text Solution

    |

  15. Find the equation of the normal to y=2x^3-x^2+3 at (1,4).

    Text Solution

    |

  16. Find the point on the curve y=3x^2-9x+8 at which the tangents are equa...

    Text Solution

    |

  17. Find the equation of the tangent to the curve x=theta+sintheta,y=1+cos...

    Text Solution

    |

  18. Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the...

    Text Solution

    |

  19. The equation of the tangent at (2,\ 3) on the curve y^2=a x^3+b is ...

    Text Solution

    |

  20. Find the equation of the tangent line to the curve y=x^2+4x-16 which i...

    Text Solution

    |