First slide

Ellipse

Question

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

Moderate

A

0
B

1
C

2
D

infinite

Solution

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

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