JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

x+‌

1

x

=t gives six real and distinct values then
Equation (1) should have three real and distinct roots and equation (2) should have two real distinct roots
3<a<30‌‌...... (1)
Graph of (t)=2t3−9t2+30−a, is From the graph it is clear that
f(−2)>0 and f(2)>0
⇒‌‌a<−22 and a<10
⇒‌‌a∈(−∞,−22)‌‌......(2)
From (1) and (2) a∈φ.