Let integers a, b [–3, 3] be such that a + b 0. Then the number of all possible ordered pairs (a, b), for...

Question

Let integers a, b [–3, 3] be such that a + b 0. Then the number of all possible ordered pairs (a, b), for which | z-a z+b |=1 and vmatrix z+1 & & ^2 & z+ ^2 & 1 ^2 & 1 & z+ vmatrix =1, z C, where and ^2 are the roots of x^2+x+1=0, is equal to _____.

Accepted Answer

10

JEE Main 2025 Mathematics question

Solution