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vikash chandola Grade:
        

the point on the curve (x)^(1/2)+(y)^1/2)=2*(a)^(2) where the tangents are equally inclined to the axes,is


plz ansr this question briefly o that i can understand it easily.

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

eq of curve is x^1/2  +  y^1/2 =a^2


 


  let (x, y,) be the point on the curve at which we have to draw  the tangent


 


 since (x, y,) lies on the curve so it will satisfy the eq of curve


   so x,^1/2 + y,^1/2 =a^2  ..................eq1 


   slope of tangent =dy/dx= -(y,/x,)^1/2 at (x, y,)


   tangent is equally inclined to axes therefore slope =1 or -1....eq3


   solving eq 1 ,2 and 3 


  required point comes out to be (a^4/4 , a^4/4)


 


 


 

6 years ago
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