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Maths-

General

Easy

Question

The number of elements in the set $left curly bracket open parentheses a comma b close parentheses colon 2 a to the power of 2 end exponent plus 3 b to the power of 2 end exponent equals 35 comma blank a comma blank b element of Z right curly bracket$ , where $Z$ is the set of all integers, is

2
4
8
12

The correct answer is: 8

The possible sets are $left curly bracket plus-or-minus 2 comma blank plus-or-minus 3 right curly bracket$ and $left curly bracket plus-or-minus 4 comma blank plus-or-minus 1 right curly bracket$ ; therefore, number of elements in required set is 8.

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