The value of a for which the function f(...

The value of `a` for which the function `f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2)` does not possess critical points is (a)`(-oo,-4/3)` (b) `(-oo,-1)` (c)`[1,oo)` (d) `(2,oo)`

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
MATRICES
RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The set of all values of a for which the function f(x)=(a^2-3a+2)(cos^2\ x/4-sin^2\ x/4)+(a-1)x+sin1 does not possess critical points is (A) [1,oo) (B) (0,1) uu (1,4) (C) (-2,4) (D) (1,3) uu (3,5)

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

The exhaustive set of value of 'a' for which the function f(x)=a/3(x^3+(a+2)x^2+(a-1)x+2 possess a negative point of minima is (q,oo) . The value of q is

If the complete set of value(s) of a for which the function f (x) =(ax^(3))/(3)+(a+2) x^(2) +(a-1) x+2 possess a negative point of inflection is (-oo, alpha)uu(beta,oo)" then " |alpha|+|beta| is ___________ .

the interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing, is (a) ( -(oo) , (oo) ) (b) ( -(oo) , 0 ) (c) ( 2 , (oo) ) (d) ( 0 , 2 )

If log_(3)x-(log_(3)x)^(2)le(3)/(2)log_((1//2sqrt(2)))4 , then x can belong to (a) (-oo,1//3) (b) (9,oo) (c) (1,6) (d) (-oo,0)

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

The interval in which the function f given by f(x) = x^2 e^(-x) is strictly increasing is (a) ( -oo , oo ) (b) ( -oo , 0 ) (c) ( 2 , oo ) (d) ( 0 , 2 )

RESONANCE DPP ENGLISH-JEE MAINS-All Questions

The vector hat i+x hat j+3 hat k is rotated through an angle theta an...
Text Solution
|
Leg P(x)=|7 6x-10 2x-10 5x-10 3 4|, sum of zeroes of P(x) is (a) 30...
Text Solution
|
The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...
Text Solution
|
The solution set of inequality ((e^(x)-1)(2x-3)(x^(2)+x+2))/((sinx-...
Text Solution
|
Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima...
Text Solution
|
The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...
Text Solution
|
The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...
Text Solution
|
Orthocentre of an acute triangle A B C is at the orogin and its circum...
Text Solution
|
y=f(x) is a continuous function such that its graph passes through (a ...
Text Solution
|
Consider the statement p: 'New Delhi is a city'. Which of the followin...
Text Solution
|
If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(...
Text Solution
|
The equation of the altitude of the triangle ABC whose vertices are A(...
Text Solution
|
("lim")(xvecpi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)i se q u a lto ln a ...
Text Solution
|
Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...
Text Solution
|
Of f(x)=2/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^2+x+1)(lambda^2-5l...
Text Solution
|
If the lines L1:2x-3y-6=0,L2: x+y-4=0 and L3: x+2 and tanA ,tanB an...
Text Solution
|
about to only mathematics
Text Solution
|
If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos(...
Text Solution
|
If y=x+e^x , find (d^2x)/(dy^2) .
Text Solution
|
Locus of the point of intersection of perpendicular tangents on the ...
Text Solution
|