JEE Advanced Mathematics question
Match the statements/expressions given in Column I with the values given in Column II. Column I: (A) The number of solutions of the equation in the interval (B) The value(s) of for which the planes , and intersect in a straight line (C) The value(s) of for which has integral solution(s) (D) If and then value(s) of Column II: (p) 1 (q) 2 (r) 3 (s) 4 (t) 5
Answer: (1)
Solution
**(A)** Let . , , and on
h'(x) = + x x) + x > 0,
so is strictly increasing and has exactly one zero ⇒ (p). (Book's view: increases from 1 while decreases from to 0, so
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