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The equation of the normal to the surface 2x2 + y2 + 22 = 3 at (2, 1, -3) is
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We know that,
- If f(x, y, z) be any surface, then equation of normal to the surface at (a, b, c) is given by
Now,
Given surface is
Differentiate partially w. r. t. x, we get
Therefore,
Now,
Again Differentiate (1) partially w. r. t. y, we get
Therefore,
Now,
Again differentiate (1) partially w. r. t. z, we get
Now, we have
So, equation of normal to the surface at the point (2, 1, - 3) is
On substituting the values, we get
Additional Information :-
If f(x, y, z) be any surface, then equation of tangent plane to the surface at (a, b, c) is given by
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