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If X2 + Y2 = 100 and X : Y = 4 : 3, then what is the value of X2 − Y2? |
18 28 36 24 |
28 |
If X2 + Y2 = 100 X : Y = 4 : 3, then what is the value of X2 − Y2? Let the value of X and Y be 4m and 3m Given, X2 + Y2 = 100 = 16m2 + 9m2 = 100 = m2 = \(\frac{100}{25}\) = 4 = a = 2 = X2 – Y2 = 16m2 – 9m2 = 7m2 = 7 × 4 = 28 |
