See image — AITS & Test Series Chemistry Question

💡 Solution & Explanation

(I) 2 6x x 10 3 (x 1)(x 7) 0 x 0,1,2,3,4,5,6          . (II). 2 f(x) (x 1)(x 7x 13)     for it to be prime, at least of the factors must be prime 2 x 1 1or x 7x 13 1 x 2,3,4        (III). For integer roots D must be perfect square of an integer.   2 2 D a 4 a 1 I a 5, p 1and a 1, p 1          (IV). Here 0 C 90   . Let height be h and h xtanB   A B C D x X 8 6 h  Area of 2 1 1 1