Consider the determinant `f(x)=|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|dot` Statement 1: `f(x)=0` has one root `x=0.` Statement 2: The value of skew symmetric determinant of odd order is always zero.

Consider the determinant f(x)=|{:(0,x^(2)-a,x^(3)-b),(x^(2)+a,0,x^(2)+c),(x^(4)+b,x-c,0):}| Statement -1 f(x) =0 has one root x =0. Statement -2 The value of skew -symmetric determinant of odd order is always zero.

If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f(0)=0 f(1)=0

If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|=0 is c b. c c. b d. 0

[ 28.If f(x)=|[0,x-a,x-bx+a,0,x-cx+b,x+c,0]| then,[ 1) f(a)=0, 2) f(b)=0]]

f(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] Statement 1: f(x) is inverse of f(-x) Statement 2: f(x).f(y) = f(x+y)

Consider the matrix A=[{:(0,-h,-g),(h,0,-f),(g,f, 0):}] STATEMENT-1 : Det A = 0 STATEMENT-2 :The value of the determinant of a skew symmetric matrix of odd order is always zero.

If f(x) = |(0, x-a, x-b),(x+a, 0, x-c),(x+b, x+c, 0)| , then the value of f(0) is :

Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2c x+d=0 has at least one real root lying between (0,3)dot Statement 2: If f(x) is continuous in [a,b], derivable in (a , b) such that f(a)=f(b), then there exists at least one point c in (a , b) such that f^(prime)(c)=0.