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The curve 9y^2 = x^2(4 – x^2) is symmetrical about … (a) y – axis (b) x – axis (c) y = x

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The curve 9y2 = x2(4 – x2) is symmetrical about …

(a) y – axis 

(b) x – axis 

(c) y = x 

(d) both the axes

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Best answer

(d) both the axes

Replace x by – x and y by -y 

9 (-y2) = (-x)2 (4-(-x)2) 

The equation is unaltered 

∴ the curve is symmetrical about both the axes.

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