[" 15.The roots of the equation "(b-c)x^(2)+(c-a)x+(a-b)=],[0" are "]

The roots of the equation a ( b-c) x^2 -b(c-a) x+c(a-b)=0 are

If the roots of the equation : (b-c)x^(2) + (c-a) x + ( a-b) = 0 are equal, then a,b,c are in :

If the roots of the equations (b-c) x^(2) + (c-a) x+( a-b) =0 are equal , then prove that 2b=a+c

If the roots of the equation a(b-c)x^(2) + b(c-a) x+c(a-b)=0 are equal, then prove that a, b, c are in H.P

Assertion (A): The roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are 1, (c(a-b))/(a(b-c)) Reason (R): If a+b+c=0 then the roots of ax^(2)+bx+c=0 are 1, (c)/(a)

Assertion (A): The roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0 are 1, (c(a-b))/(a(b-c)) Reason (R): If a+b+c=0 then the roots of ax^(2)+bx+c=0 are 1, (c)/(a)

If b is the harmonic mean of a and c and alpha, beta are the roots of the equation a(b-c)x^(2) + b(c-a) x+ c(a-b)=0 , then

If b is the harmonic mean of a and c and alpha, beta are the roots of the equation a(b-c)x^(2) + b(c-a) x+ c(a-b)=0 , then

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal,then prove that 2b=a+c