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apple_pi
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The parabola y=ax^2+bx+c, c≠0 meets the xaxis at A(α,0) and B(β,0) and the yaxis at C. If AC and BC are perpendicular, prove ac=1
 2 years ago
 2 years ago
apple_pi Group Title
The parabola y=ax^2+bx+c, c≠0 meets the xaxis at A(α,0) and B(β,0) and the yaxis at C. If AC and BC are perpendicular, prove ac=1
 2 years ago
 2 years ago

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apple_pi Group TitleBest ResponseYou've already chosen the best response.0
@lgbasallote
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
alpha and beta are the roots of quadratic ax^2+bx+c=0
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
so alpha + beta = b/a and alpha* beta= c/a
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.1
sure...tag the math hater to a math problem...makes a lot of sense
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
slope of AC * slope of BC= 1
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
so alpha* beta = c^2
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
and put this value into... alpha* beta= c/a
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
does it make sense?
 2 years ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
how did you get to alpha*beta=c^2?
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
use this...slope of AC * slope of BC= 1 c=(0, beta)
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
No one tags mathslover though :P
 2 years ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
since when does c=(0,beta)?
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
so slope of AC=  c/alpha=m1 , slope of BC= c/beta=m2 m1 *m2= 1...since AC is perpendicular to BC.
 2 years ago

akash123 Group TitleBest ResponseYou've already chosen the best response.3
sorry C=(0,c)
 2 years ago

apple_pi Group TitleBest ResponseYou've already chosen the best response.0
@akash123 @ganeshie8
 2 years ago
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