Find the equation of the tangent at the point (h, h) to the curve x+ y= a2

  1. hx + hy =a2
  2. hx - hy = a2
  3. x + hy = a
  4. hx - y = - a

Answer (Detailed Solution Below)

Option 1 : hx + hy =a2
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Detailed Solution

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Concept:

Equation of the tangent at the point (x1, y1) to the curve x2 + y= a2 is given by:

xx+ yy1 = a2

 

Calculation:

The given equation is,

x2 + y= a2

We know that for any given circle, the equation of the tangent passing through the point (x1, y1) is

xx+ yy1 = a2

So, the given point is (h,h)

Hence, the equation of the tangent is,

hx + hy =a2

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