Q15Single correct4 Marks7 Jul 2024Consider the quadratic equation ax2+bx+c=0ax^2+bx+c=0ax2+bx+c=0 where a,b,ca,b,ca,b,c are integers with a≠0a\ne 0a=0. Which of the following option(s) are true?AIf b2−4ac>0b^2-4ac>0b2−4ac>0 and a perfect square then there exists a rational root of the quadratic equation.BIf b2−4ac>0b^2-4ac>0b2−4ac>0 and not a perfect square then there exists a rational root of the quadratic equation.CIf b2−4ac<0b^2-4ac<0b2−4ac<0 and a perfect square then there exists a rational root of the quadratic equation.DIf b2−4ac<0b^2-4ac<0b2−4ac<0 and not a perfect square then there exists a rational root of the quadratic equation.