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Consider the curves given by the followi...

Consider the curves given by the following quadratic function.
`f_(1)(x)=5x^(2)+2x+1,f_(2)(x)=5x^(2)+6x+1`
`f_(3)(x)=x^(2)-7x+6,f_(4)(x)=64x^(2)+48x+9`
If `A_(1),A_(2),A_(3)andA_(4)` denote the lengths of the intercepts on the X-axis made by the above curve respectively, then which of the following is true?

A

`A_(1)gtA_(2)gtA_(3)gtA_(4)gt0`

B

`A_(4)ltA_(2)ltA_(3)`

C

`A_(3)ltA_(2)ltA_(4)`

D

`A_(2)ltA_(4)ltA_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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