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Statement -1 In the equation ax^(2)+3x+5...

Statement -1 In the equation `ax^(2)+3x+5=0`, if one root is reciprocal of the other, then `a` is equal to 5.
Statement -2 Product of the roots is 1.

A

Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1

B

Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false, Statement -2 is true

Text Solution

Verified by Experts

The correct Answer is:
A

Let `alpha` be one root of equation `ax^(2)+3X+5=0`. Therefore
`alpha . 1/(alpha+ =5/a`
`implies 1=5/a`
`rarra=5`
Hence both the statement are true and Statement -2 is the correct explanation of Statement -1.
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