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

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 one of the roots of the equation (b-c)x^(2) + b(c-a)x + c( a-b) = 0 is 1, what is the second root ?

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

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 a(b - c)x^2 + b(c- a)x+ c(a-b)=0 are equal, then which of the following is true? यदि समीकरण a(b - c)x^2 + b(c- a)x+ c(a-b)=0 के मूल बराबर है, तो निम्नलिखित में से कौन सा सही है?

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