Statement 1: k(x−2)(x−3)=k(x2−5x+6) is the quadratic equation whose roots are 2 and 3. Therefore, statement 1 is incorrect. Statement 2: Given equation: 4x2+3kx+9=0 Roots of the equation are real and distinct when the discriminant of equation is greater than zero. (3k)2−(4)(4)(9)>0 (k−4)(k+4)>0 k<−4 and k>4 But in the given statement, equal to sign is also considered which is incorrect. If discriminant is equal to zero, roots of the equation are equal. Therefore, statement 2 is incorrect. The answer is option B.