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Question

# I: If x+2 is factor of x2+2ax+b and x2+2cx+d, then b−da−c=4II: The equation whose roots are the squares of the roots of x2+4x+5=0 is x2−6x+25=0 Which of the above statement(s) is/are true?

A
Only I
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B
Only II
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C
Both I and II
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D
Neither I nor II
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Solution

## The correct option is B Both I and IIx+2 is a factor ⇒x=−2 is a root of the given equations .4−4a+b=0;4−4c+d=0b−4a=d−4c⇒b−da−c=4Equation whose root are squares of x2+4x+5 is(√x)2+4√x+5=0x+5=−4√x(x+5)2=(4√x)2x2+25x+10x=16xx2−6x+25=0

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