[" It he value of "m.],[" touch each other at "(2,4)" also find the "],[" is given that "1^(0)" ,epen "745" radigns."],[" In "=2" ,then fifd a sad b."]

Find the values of m for which the equation 3x^(2)+mx+2=0 has equal roots. Also, find the roots of the given equation.

Show that the line x-2y + 4a = 0 touches y^(2) = 4ax. Also find the point of contact

Show that the line x-2y + 4a = 0 touches y^(2) = 4ax.Also find the point of contact

If a and b vary inversely to each other, then find the values of l, m, n.

Show that the curvesy ^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at (1,2). Also find the equation of the common tangent and normal.

The parabolas y=x^(2+ax+b and y=x(c-x) touch each other at (1,0). Then a, b, c are respectively,

If the parabolas y=x^(2)+ax+b and y=x(c-x) touch each other at the point (1,0), then a+b+c=

(i) Find the value of k for which x=1 is a root of the equation x^(2)+kx+3=0. Also, find the other root. (ii) Find the values of a and b for which x=(3)/(4)" and "x=-2 are the roots of the equation ax^(2)+bx-6=0.