Let `p, q in R`. If `2- sqrt3` is a root of the quadratic equation, `x^(2)+px+q=0,` then

If (1 - p) is a root of quadratic equation x^(2) + px + (1- p)=0 , then its roots are

Let p, q, r in R and r gt p gt 0 . If the quadratic equation px^(2) + qx + r = 0 has two complex roots alpha and beta , then |alpha|+|beta| , is

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

If tan A and tan B are the roots of the quadratic equation x^2-px + q =0 then value of sin^2(A+B)

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0a n dalpha^2,beta is the roots of quadratic equation x^2-q x+8=0 , then the value of rifr/8 is the arithmetic mean of p a n d q , is

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0. a n dalpha^2,beta are the roots of quadratic equation x^2-q x+8=0, then find p ,q,alpha,betadot

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

if p,q,r are real numbers satisfying the condition p + q +r =0 , then the roots of the quadratic equation 3px^(2) + 5qx + 7r =0 are