Question

. If ax2 +bx + c =a( x-p)2 , then the relation among a, b, c would be


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Answer 1

Step-by-step explanation:

Correct option isC

b 2 = 4ac

ax 2 +bx+c=a(x−p) 2

⇒ax 2+bx+c=a(x 22px+p 2 )

⇒ax 2 +bx+c=ax 2−2apx+ap 2

Comparing the corresponding coefficients,

b = -2ap (1)

c = ap 2

On squaring eq. (1). we get

⇒b 2

=4a 2

p 2

⇒p 2

= 4a 2

b 2

∴C=a× 4a 2b 2

[From eq. (1)]

⇒b 2

=4ac

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