Paragraph: Let f(x)=x^2-5 x+6, g(x)=f(|x|), h(x)=|g(x)| . Question: If h(x)=k , where k I has more than two solutions, then the probability that h(x)=k will have exactly 8 real and distinct solutions, is equal to:

Step-by-step solution

h(x)=k will have more than two solutions for k=0,1,2,3,4,5,6 h(x)=k will have exactly 8 distinct solution for 0 < k < 1 4 No integral value of k . Probability =0 Clearly, |g(x)|=-g(x) x [-3,-2] [2,3]