Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics
If the inequality 1+ ₅ (x^2+1 ) ₅ (a x^2+4 x+a ) holds x R , then the range of a is (p, q] , find (p+q) .
Correct answer
5
Step-by-step solution
array rlrl & ₅ (5 x^2+5 ) & ₅ (a x^2+4 x+a ) x R & & 5 x^2+5 & a x^2+4 x+a x & & (5-a) x^2-4 x+5-a & 0 x R 5-a & >0 array and aligned & D 0 ...(2) & a From Eqns. (1) and (2) a (2,3] ...(3) p+q=5