If r be the ratio ofthe roots of the equation `ax^2 +bx + c = 0` , show that `(r+1)^2/r =(b^2)/(ac)`

If r and s are the roots of the equation ax^2+ bx + c= 0 , then the value of 1/r^2+1/s^2=

If sinthetaand costheta are the roots of the equation ax^2-bx+c=0 , show that : a^2+2ac-b^2=0 .

If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3 : 4 ,

If /_\ PQR is right-angled at R and tan P/2, tan Q/2 are the roots of the equation ax^(2) + bx + c = 0, a != 0 , show that a + b = c .

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

If r is the ratio of the roots of the equation ax^(2)+bx+c=0, then r is the root of the equation.(A) acx^(2)+(2ac-b^(2))x+ac=0 (C) acx^(2)+(2ac-b^(2))x-ac=0 (B) acx^(2)-(2ac-b^(2))x+ac=0(D)acx^(2)-(2ac-b^(2))x-ac=0

If the roots of the equation ax^2+bx+c=0 differ by K then b^(2)-4ac=

If sintheta and costheta are roots of the equation ax^(2)+bx+c=0 , prove that a^(2)-b^(2)+2ac=0 .

If the ratio of the roots of the equation ax^(2)+bx+c=0 is equal to ratio of roots of the equation x^(2)+x+1=0 then a,b,c are in