If `x^2+p x=1` is a factor of the expression `a x^3+b x=c ,` then `a^2-c^2=a b` b. `a^2+c^2=-a b` c. `a^2-c^2=-a b` d. none of these

If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d , then (b-d)/(c-a)

The distance of the point P(a ,\ b ,\ c) from the x-axis is a. sqrt(b^2+c^2) b. sqrt(a^2+c^2) c. sqrt(a^2+b^2) d. none of these

If x ^(2) +bx+b is a factor of x ^(3) +2x ^(2)+2x + c (c ne 0), then b-c is :

If x ^(2)+bx+b is a factor of x ^(3) +2x ^(2) +2x+c (c ne 0), then b-c is :

If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0 , then b^2= a^2-2a c (b) a^2+2a c (c) a^2-a c (d) a^2+a c

If x-2 is a factor of x^(2)+3ax-2a, then a=2( b) -2( c) 1 (d) -1

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1, b=3 (b) a=3, b=1 (c) a=-1, b=5 (d) a=5, b=-1

If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b, then (a) a =-b=-c (c) a = b = c or a =-2b-_ 2c (b) a = 2b = 2c (d) none of these