A ( 1 , 15 ) , B ( 3 , − 12 ) , C ( 6 , 12 ) are three consecutive turning points of a continuous curve y = f ( x ) . If f ( x ) = 0 only for x = α and x = β , then ∣ β − α ∣

Question

A ( 1 , 15 ) , B ( 3 , − 12 ) , C ( 6 , 12 ) are three consecutive turning points of a continuous curve y = f ( x ) . If f ( x ) = 0 only for x = α and x = β , then ∣ β − α ∣, 27, 2, 5, 25

MARKS App · Accepted Answer

Given that A ( 1 , 15 ) , B ( 3 , − 12 ) , C ( 6 , 12 ) are threeconsecutive turning points of continuous curve y = f ( x ) and intersect x -axis at x = α , and x = β . It is clear from graph is ​ 1 α 3 and 3 β 6 ⇒ − α − 1 and β 6 ⇒ ∣ β − α ∣ 6 − 1 ⇒ ∣ β − α ∣ 5. ​

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