relate b and c

VITEEE 2015 Coaching › Algebra questions › relate b and c

if the range of tan^-1 (3x² + bx + c) is [0,pi/2) then relate b and c.

#Mathematics #Algebra

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7 Answers

262

Aditya Bhutra ·2012-05-08 06:52:36

yes , my fault.

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262

Aditya Bhutra ·2012-05-08 01:30:55

0 â‰¤ tan^-1(x) < pi/2 for xâ†’[0,âˆž)

thus ,

0 â‰¤ 3x² +bx +c < âˆž

Discriminant â‰¤0

b²-12c â‰¤ 0

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36

rahul ·2012-05-08 03:31:48

why is discriminant less than 0

i guess only equal to 0

and so its b² = 12c and not b² - 1c < 0....

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saahilsud t ·2012-05-11 11:32:02

can you please explain why discriminant is equal to 0

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36

rahul ·2012-05-13 01:22:52

yes, the parabola is upward opening and touches the axis......

and, if ax² + bx + c > 0 and a > 0 then D = 0

if the case would have been,

ax² + bx + c > 0 and a > 0 then one could say D > 0

there's no such case like D > 0

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saahilsud t ·2012-05-14 08:34:13

thnxx man i got it

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epsilon ·2012-05-21 15:42:28

yes it is b²=12c.

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Your Answer

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