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प्रश्न
From the sum of x2 – y2 – 1, y2 – x2 – 1 and 1 – x2 – y2 subtract –(1 + y2).
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उत्तर
Sum of x2 – y2 – 1, y2 – x2 – 1 and 1 – x2 – y2 = x2 – y2 – 1 + y2 – x2 – 1 + 1 – x2 – y2
On combining the like terms,
= x2 – x2 – x2 – y2 + y2 – y2 – 1 – 1 + 1
= –x2 – y2 – 1
Now, subtract –(1 + y2) from –x2 – y2 – 1
= –x2 – y2 – 1 – [–(1 + y2)]
= – x2 – y2 – 1 + 1 + y2
= –x2 – y2 + y2 – 1 + 1
= –x2
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