CATAlgebra > Mediumthe empty seteither the empty set or the set of all integersthe set of all integersthe set of all positive integers✅ Correct Option: 2Related questions:CAT 2023 Slot 3A quadratic equation x2+bx+c=0x^{2}+b x+c=0x2+bx+c=0 has two real roots. It the difference between the reciprocals of the roots is 1/31 / 31/3 and the sum of the reciprocals of the squares of the roots is 5/95 / 95/9, then the largest possible value of ( b+cb+cb+c ) isCAT 2022 Slot 3Suppose kkk is any integer such that the equation 2x2+kx+5=02 x^{2}+k x+5=02x2+kx+5=0 has no real roots and the equation x2+(k−5)x+1=0x^{2}+(k-5) x+1=0x2+(k−5)x+1=0 has two distinct real roots for xxx. Then, the number of possible values of kkk isCAT 2019 Slot 2Let AAA be a real number. Then the roots of the equation x2−4x−log2A=0x^2 - 4x - \log_2A = 0x2−4x−log2A=0 are real and distinct if and only if