Question
Download Solution PDFFind the equation of the tangent at the point (h, h) to the curve x2 + y2 = a2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Equation of the tangent at the point (x1, y1) to the curve x2 + y2 = a2 is given by:
xx1 + yy1 = a2
Calculation:
The given equation is,
x2 + y2 = a2
We know that for any given circle, the equation of the tangent passing through the point (x1, y1) is
xx1 + yy1 = a2
So, the given point is (h,h)
Hence, the equation of the tangent is,
hx + hy =a2
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