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$The slopes of the common tangents of the ellipse \frac{x^{2}}{4} + \frac{y^{2}}{1} = 1 and the circle x^{2} + y^{2} = 3 are$

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Correct option is B

Let m be the slope of the common tangent. Then,±31+m2=±4m2+1 or 3+3m2=4m2+1 or m2=2 or m=±2

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The slopes of the common tangents of the ellipse x24+y21=1 and the circle x2+y2=3 are

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$The slopes of the common tangents of the ellipse \frac{x^{2}}{4} + \frac{y^{2}}{1} = 1 and the circle x^{2} + y^{2} = 3 are$