Find the lines that are tangent and normal to the curve

Reference no: EM131012155

The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at given point for the following:

1.) x² + xy - y² = -1, (1,2)

2.) (2x²) + 2xy + (8y²) + 11y - 2 = 0, (-1,0)

Find the lines that are tangent and normal to the curve at given point for the following below:

3.) (x²)(y²) = 36 (1,-6)

4.) y = 7 sin (πx-y), (1,0)

Reference no: EM131012155

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