Home
Class 12
MATHS
If the quadratic equation (ab-bc)x^(2)+(...

If the quadratic equation `(ab-bc)x^(2)+(bc-ca)x+ca-ab=0` both the roots equal then (A) both roots are equal to 0 (B) both roots are equal to 1 (C) a,c ,b are in harmonic progression (D)` ab^(2)c^(2) b^(2)a^(2)c a^(2)c^(2)b` are in AP `l

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If the quadratic equation alpha x^(2)+beta x+a^(2)+b^(2)+c^(2)-ab-bc-ca=0 has imaginary roots then

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are,when ab+bc+ca=0

The roots of the equation a(b-2x)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

Show that the roots of the quadratic equation: (b - c)x^(2) + (c - a) x + (a - b) = 0 are equal if c + a = 2b.

If ab+bc+ca=0, then solve a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0

If the sum of the roots of the equation ax^(2)+bx+c=0 is equal to sum of the squares of their reciprocals,then bc^(2),ca^(2),ab^(2) are in

Prove that : |{:(b^(2)c^(2),bc, b+c),(c^(2)a^(2),ca, c+a),(a^(2)b^(2),ab, a+b):}|=0

|[b^(2)c^(2),bc,a-c],[c^(2)a^(2),ca,b-c],[a^(2)b^(2),ab,0]|=?