Q.

If the equation whose roots are p times the roots x4+2x3+46x2+8x+16=0 of  is a reciprocal equation then p =

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a

2

b

3

c

±12

d

±13

answer is C.

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Detailed Solution

f(xp)=0 x4+2px3+46p2x2+8p3x+16p4=016p4=1⇒p=±12
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If the equation whose roots are p times the roots x4+2x3+46x2+8x+16=0 of  is a reciprocal equation then p =