यदि फलन f(x) = tan^(-1)(3x^(2) + bx +3),...

यदि फलन `f(x) = tan^(-1)(3x^(2) + bx +3), x in R` का परिसर `[0,pi/2)` है, तो `b` के सभी संभव मानों के योगफल का वर्ग है:

`0`

`18`

`72`

इनमें से कोई नहीं

Verified by Experts

The correct Answer is:

INVERSE TRIGNOMETRIC FUNCTIONS
BANSAL HINDI|Exercise EXERCISE-1 (SPECIAL DPP) (SPECIAL DPP-2)|10 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
BANSAL HINDI|Exercise EXERCISE-1 (SPECIAL DPP) (SPECIAL DPP-3)|10 Videos
INDEFENITE & DEFINITE INTEGRATION
BANSAL HINDI|Exercise EXERCISE -5 ( Rank Booster) |23 Videos
METHOD OF DIFFERENTIATION
BANSAL HINDI|Exercise Exercise-5(Rank booster)|10 Videos

यदि फलन f(x) = tan^(-1)(3x^(2) + bx +3), x in R का परिसर [0,pi/2) है,...
Text Solution
|
निम्नलिखित फलन का प्रान्त व परिसर ज्ञात करो। f(x) = cos^(-1)(sqrt(2...
Text Solution
|
एक triangleABC में, यदि angleA = angleB =1/2 [sin^(-1)((sqrt(6)+1)/(2...
Text Solution
|
1/2 sum(n=1)^(100) [tan{pi/4 + 1/2 cos^(-1) (1/n)} + tan{pi/4 -1/2 cos...
Text Solution
|
हल कीजिये: sin^(-1)(sin(2x^(2)+4)/(1+x^(2))) lt pi -3
Text Solution
|
यदि alpha =2 tan^(-1)((1+x)/(1-x)) व beta = sin^(-1) ((1-x^(2))/(1+x...
Text Solution
|
यदि x+1/x=-2 है तो x^(p)+x^(q) का मान क्या होगा?
Text Solution
|
यदि f(x) = tan^(-1) ((sqrt(1-4x^(2))-2sqrt(3)x)/(sqrt(3-12x^(2)) + 2x...
Text Solution
|
यदि f(x) = sin^(-1)(2x/(1+x^(2))) तथा sum(r=2)^(10) f(1/r) -f(r)= kpi,...
Text Solution
|
सिद्ध कीजिए: tan^(-1)((sqrt(1+x^2)+1)/x) = pi/4+1/2cot^(-1)x
Text Solution
|
यदि sin^(-1)2x sqrt(1-x^(2))=a sin^(-1)x और x in [-1/sqrt(2),1/sqrt(2...
Text Solution
|