If `sinalpha,cosalpha` are the roots of equation `cx^2+bx+a=0`, then show that `b^2-2ac-c^2=0`

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

If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0 , then b^2= (a) a^2-2a c (b) a^2+2a c (c) a^2-a c (d) a^2+a c

If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0 , then b^2= a^2-2a c (b) a^2+2a c (c) a^2-a c (d) a^2+a c

If sin alpha, cosalpha are the roots of the equation x^2 + bx + c = 0 (c != 0) , then

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

Let sinalpha,cosalpha , be the roots of the equation x^2-bx+c=0 . Then which of the following statements is/are correct ?

Let sinalpha,cosalpha be the roots of the equation x^(2)-bx+c=0 .Then which of the following statements is /are correct ?

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

Write the roots of quadratic equation ax^2+bx+c=0 when b^2-4ac>0 .

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