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If x:y=4:3x : y = 4 : 3, then (x2+y2):(x2−y2)(x^2 + y^2) : (x^2 - y^2) is:

Solution

✅ Correct Option: 1

Take x=4kx = 4k, y=3ky = 3k. Then x2+y2=16k2+9k2=25k2x^2 + y^2 = 16k^2 + 9k^2 = 25k^2 and x2−y2=16k2−9k2=7k2x^2 - y^2 = 16k^2 - 9k^2 = 7k^2. The ratio is 257\dfrac{25}{7}.

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