JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

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Paragraph for Question Nos. 53 and 54
Let t be a real number satisfying 2t3−9t2+30−a=0‌‌...(1)
And x+‌
1
x
=t‌‌...(2)
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Question : 53 of 54
 
Marks: +1, -0
If equation (1) has three real and distinct roots then
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