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  4. The curve x2 - xy + y2 =27 has tangents parallel to x-axis at

Q. The curve has tangents parallel to at

COMEDK COMEDK 2014Application of Derivatives Report Error

Solution:

Given equation of curve is
... (i)
Taking derivative w.r.t. ori both sides



Since, curve has tangent parallel to x-axis
slope of tangent= 0

.....(ii)
\ Now solving (i) and (ii) we get,


For and
Points are (3, 6) and (-3, -6)

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