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$The number of values of c such that the straight line y = 4 x + c touches the curve \frac{x^{2}}{4} + \frac{y^{2}}{1} = 1 is$

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Correct option is C

For given slope, there exist two parallel tangents to the ellipse. Hence, there are two values of c.

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The number of values of c such that the straight line y=4x+c touches the curve x24+y21=1 is

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$The number of values of c such that the straight line y = 4 x + c touches the curve \frac{x^{2}}{4} + \frac{y^{2}}{1} = 1 is$