If `l ,m ,n` are the three positive roots of the equation `x^3-a x^2+b x-48=0,` then the minimum value of `(1//l)+(2//m)+(3//n)` equals `(a) 1` `(b) 2` `(c) 3//2` `(d) 5//2`

If x=1a n dx=2 are solutions of equations x^3+a x^2+b x+c=0a n da+b=1, then find the value of bdot

Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if (4/a+1/b) is,

If a ,b ,c in R^+a n d2b=a+c , then check the nature of roots of equation a x^2+2b x+c=0.

If z_1a n dz_2 are the complex roots of the equation (x-3)^3+1=0,t h e nz_1+z_2 equal to a. 1 b. 3 c. 5 d. 7

If a

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If sinthetaa n d-costheta are the roots of the equation a x^2-b x-c=0 , where a , ba n dc are the sides of a triangle ABC, then cosB is equal to 1-c/(2a) (b) 1-c/a 1+c/(c a) (d) 1+c/(3a)

The minimum value of 2^(x^2-3)^(3+27) is a) 2^(27) (b) 2 (c) 1 (d) none of these

If l ,m ,n are real l!=m , then the roots of the equation (l-m)x^2-5(l_+m)x-2(l-m)=0 are a. real and equal b. Complex c. real and unequal d. none of these

If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in N , then find the minimum value of a+b+c