(a)(am_(1)^(2),2am_(1))" and "(am_(2)^(2),2am_(2))

The circle for which the points (am^(2),2am) and ((a)/(m^(2)),(-2a)/(m)) are the end points of a diameter istouched for all values of m by the line

The normal to the parabola y^(2)=4ax at P(am_(1)^(2),2am_(1)) intersects it again at Q(am_(2)^(2), 2am_(2)) .If A be the vertex of the parabola then show that the area of the triangle APQ is (2a^(2))/(m_(1))(1+m_(1)^(2))(2+m_(1)^(2)) .

For which of these oxidation/reduction pairs will the reduction potential vary with pH? I AmO_(2)^(2+)//AmO_(2)^(+) II. AmO_(2)^(2+)//Am^(4+) III Am^(4+) // Am^(2+)

Find the equation of the normal to the curve ay^(2)=x^(3) at the point (am^(2), am^(3)) .

Find the equation of tangent to the curve ay^(2)=x^(3) at the point (am^(2),am^(3))

For which of these oxidation/reduction pairs will the reduction potential vary with pH? (P) AmO_(2)^(2+) | Am^(4+) (R ) Am^(4+) | Am^(2+)

If the points (am^(2),2am),(an^(2),2an)and(a,0) are collinaear then value of mn is -