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Question

If tanA,tanB are the roots of quadratic equation ax2+3x+4=0,a0 and tanAcotBtanA=13, then the value of a is 


A
1
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B
5
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C
12
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D
16
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Solution

The correct option is C 16
tanAand tanB are the roots of  ax2+3x+4=0.
tanAtanB=4a
So,  tanAcotBtanA=13
tanAtanB1tanAtanB=13
4a14a=13
4a4=13a=16

Mathematics

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