Let `g(x)=[(3x^2-4sqrtx+1, x<1),(ax+b, x>=1))` If `g(x)` is continuous and differentiable for all numbers in its domain then (A) a=b=-4 (B) a=b=4 (C) a=4 and b =-4 (D) a=-4 and b=4

Let f(x)={{:(3x^(2)-4sqrtx+1,"for",xlt1),(ax+b,"for",xge1):} If f(x) is continuous and differentiable for all real values in its domain then

Let f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2), for |x| lt 1),(x^2+ax+b, for |x| ge 1):} be continuous for all x . Now answer the question:The values of a and b are given by (A) a=-8/3,b=-4/3 (B) a=4/3,b=-8/3 (C) a=-4/3,b=-8/3 (D) a=-4/3,b=8/3

Let int_o^x(bt cos 4t - a sin 4t)/t^2 dt = (a sin 4x)/x then a and b are given by 1) a=1/4, b = 1 2)a=2,b=2 3) a= -1, b=4 4)a=2,b=4

If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+3bx", ... "1 lt x lt 2 ) :} is continuous at every point of its domain , then : b =

If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ",", "if"1 lt x le 2 ):} is continuous at every point of its domain, then the value of b is

f(x)={((1-sin^3x)/(3cos^2x), if x pi/2)) is continuous at x=pi/2 then (p,q) is: (A) (4,1/2) (B) (-1/2,4) (C) (4,-1/2) (D) (1/2,4)

f(x)={(x-4)/(|x-4|a+b)+a,x 0 Then,f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1(c)a=-1,b=1(d)a=1,b=-1

If x/2+1/3=1, then x= 3/4 (b) 4/3 -3/4 (d) (-4)/3

a,b,c are in G.P. and a+b+c=xb, x can not be (a) 2 (b) -2 (c) 3 (d) 4

[ The number of real solutions of x^(2)-4|x|-2=0 is [ (a) 1, (b) 2 (c) 3, (d) 4]]