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Question

The equation ax2+bx+c=0, where a,b,c are the sides of a ABC, and the equation x2+2x+1=0 have a common root, the measure of C is


  1. 90°

  2. 45°

  3. 60°

  4. None of these


Solution

The correct option is D

None of these


Clearly, the roots of x2+2x+1=0 have imaginary roots, so one root common implies both roots are common
So, a1=b2=c1=k
cos C=a2+b2c22ab=k2+2k2k22k2k=12
C=45o

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