If `|(x,-2,10),(-2,x,10),(10,-2,x)|=0` then
(A) `x=7` (B) `x=-4` (C) `x=-8` (D) `x=0`

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,4x^2,1+8x^3] , [3x, 9x^2,1+27x^3]|=10 is (A) 0 (B) 1 (C) 2 (D) 3

Number of real roots of the equation 2^x+2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

Which of the following lines have the intercepts of equal lengths on the circle, x^2+y^2-2x+4y=0 (A) 3x -y= 0 (B) x+3y=0 (C) x+3y+10=0 (D) 3x-y-10=0

If e^(f(x))=(10+x)/(10-x),x in (-10 ,10)a n df(x)=kf((200 x)/(100+x^2)),t h e n k= (a) 0.5 (b) 0. 6 (c) 0.7 (d) 0.8

If x^2+1/(x^2)=102 , then x-1/x=? (a)8 (b) 10 (c) 12 (d) 13

lim_(xrarroo)((x+1)^(10)+(x+2)^(10)+...+(x+100)^(10))/(x^(10)+10^(10)) is equal to (a) 0 (b) 1 (c) 10 (d) 100

If x^3-3x^2+3x+7=(x+1)(a x^2+b x+c),\ then a+b+c= (a)4 (b) 12 (c) -10\ (d) 3

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2