Q.

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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a

0

b

1

c

2

d

infinite

answer is C.

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Detailed Solution

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