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If x - y = 2, xy = 24, then the value of (x2 + y2) is?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{Given,}} \cr
& x - y = 2{\text{ and }}xy = 24 \cr
& {\text{By squaring}} \cr
& \Rightarrow {x^2} + {y^2} - 2xy = 4 \cr
& \Rightarrow {x^2} + {y^2} - 2 \times 24 = 4 \cr
& \Rightarrow {x^2} + {y^2} = 4 + 48 \cr
& \Rightarrow {x^2} + {y^2} = 52 \cr} $$
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