Q.18.The sum of the expressions x ^ 2 - 5y ^ 2 - 1, y ^ 2 - 5x ^ 2 - x ^ 2 + 5 - y ^ 2 is - 5x ^ 2 4
(B) - 5x ^ 2 - 5y ^ 2 + 4
(C) - 6x ^ 2 - 6y ^ 2
(D) 4 (A) 2x ^ 2 - 2
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Answer:
The correct option is (B) - 5x ^ 2 - 5y ^ 2 + 4 .
Step-by-step explanation:
x^ 2 - 5y ^ 2 - 1 + y ^ 2 - 5x ^ 2 + (- x ^ 2 + 5 - y ^ 2)
=x^ 2 - 5y ^ 2 - 1 + y ^ 2 - 5x ^ 2 - x ^ 2 + 5 - y ^ 2
= x^ 2 - 5x ^ 2 - x ^ 2 + 5y^2 + y ^ 2- y^2 +5 -1
= - 5x ^ 2 - 5y ^ 2 + 4
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