If `a,b,c` are in `G` .`P` then the roots of the equation `ax^(2)+bx+c=0` are in the ratio

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

If the roots of the equation ax^(2)+bx+c=0 be in the ratio 3:4, show that 12b^(2)=49ac .

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the roots of the cubic equation ax^3+bx^2+cx+d=0 are in G.P then

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

Let a,b,c be real numbers in G.P. such that a and c are positive , then the roots of the equation ax^(2) +bx+c=0

If sin theta, cos theta are the roots of the equation ax^(2)+bx+c=0 then find the value of ((a+c)^(2))/(b^(2)+c^(2))

If alpha,beta are the roots of the equation ax^2 + bx+c=0 then the roots of the equation (a + b + c)x^2-(b + 2c)x+c=0 are (a) c (b) d-c (c) 2c (d) 0

If alpha, beta be the roots of the equation ax^(2)+bx+c=0 , then the roots of the equation ax^(2)+blambda x+c lambda^(2)=0 , lambda^(2) !=0 , are