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Question

If α is a repeated root of ax2+bx+c=0 thenlimxαtan(ax2+bx+c)(xα)2=

A
a
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B
b
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C
c
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D
0
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Solution

The correct option is A a
If α is a repeated root of the given equation, the equation can be written in the form of a(xα)2=0
Thus
limxαtan×a(xα)2(xα)2=a
Hence, option 'A' is correct.

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