If `tanthetaa n dsectheta` are the roots of `a x^2+b x+c=0,` then prove that `a^4=b^2(b^2-4ac)dot`

If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove that a^4=b^2(b^2-4ac)dot

If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove that a^4=b^2(b^2-4ac)dot

If tan theta and sec theta are the roots of ax^(2)+bx+c=0, then prove that a^(4)=b^(2)(b^(2)-4ac)

If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b^2=a^2+2ac dot

If s intheta,costheta be the roots of a x^2+b x+c=0 , then prove that b^2=a^2+2ac.

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and alpha+delta,beta+delta are the roots of the equation Ax^(2)+Bx+C=0 then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) for some constant value of delta

Let alpha and beta be the roots of the equationa ax^2 + bx + c = 0 and alpha + gamma and beta + gamma be the roots of Ax^2 + Bx + C = 0. Then prove that A^2(b^2 - 4ac) = a^2(B^2 - 4AC).

If a,b,c are in AP,then prove that (a-c)^(2)=4(b^(2)-ac)

Let alpha and beta be the roots of the equationa x^(2)+2bx+c=0 and alpha+gamma and beta+gamma be the roots of Ax^(2)+2Bx+C=0. Then prove that A^(2)(b^(2)-4ac)=a^(2)(B^(2)-4AC)

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