If equation `x^4-(3m+2)x^2+m^2=0(m >0)` has four real solutions which are in A.P., then the value of `m` is______.

If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then b//a has the value equal to _____.

If a, b, c, l,m are in A.P, then the value of a-4b + 6c -4l +m is.

The quadratic equation x^2+m x+n=0 has roots which are twice those of x^2+p x+m=0a dm ,na n dp!=0. The n the value of n//p is _____.

If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then the values of m are

If the equation a x^2-6x y+y^2 +2gx +2fy +c=0 represents a pair of lines whose slopes are m and m^2, then the value(s) of a is/are

Let a,b, c be positive real numbers. If (x^(2)-bx)/(ax-c)=(m-1)/(m+1) has two roots which are numerically equal but opposite in sign, then the value of m is

If the tangent at any point (4m^2,8m^3) of x^3-y^2=0 is a normal to the curve x^3-y^2=0 , then find the value of mdot

If m is chosen in the quadratic equation (m^(2)+1)x^(2)-3x+(m^(2)+1)^(2)=0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is (A) 10sqrt5 (B) 8sqrt5 (C) 8sqrt3 (D) 4sqrt3

If the equation z^3 + (3 + l)(z^2) - 3z - (m + l)= 0, m in R , has at least one real root, then sum of possible values of m, is

If he roots of the equation 12 x^2-m x+5=0 are in the ratio 2:3 then find the value of mdot