If the roots of the quadratic equation `x^(2)+px+q=0` are `tan 30^(@)" and "tan15^(@)`, respectively then the value of `2+q-p` is

If the roots of the equadratic equation x^(2) + px + q = 0 " are " tan23^(@) "and" tan22^(@), then find the value of q - p .

If p and q are the roots of the equation x^(2)+px+q=0 , then

The roots of the eqaution (q-r)x^(2)+(r-p)x+(p-q)=0 are

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

If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(2)+px+q=0 has equal roots, then the value of q is

If the roots of the quadratic equation ax^(2) + cx + c = 0 are in the ratio P : q then show that sqrt (p/q) + sqrt (q/p) + sqrt (c/a) = 0

If A.M and G.M of the roots of a quadratic equation in x are p and q repectively then its equation is

If the abscissa and ordinates of two points Pa n dQ are the roots of the equations x^2+2a x-b^2=0 and x^2+2p x-q^2=0 , respectively, then find the equation of the circle with P Q as diameter.