If `a , b ,c` real in G.P., then the roots of the equation `a x^2+b x+c=0` are in the ratio

a. `1/2(-1+isqrt(3))`

b. `1/2(1-isqrt(3))`

`c 1/2(-1-isqrt(3))`

d. `1/2(1+isqrt(3))`

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, show that 2//b=1//a+1// c dot

If i=sqrt(-1) then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is equal to

Find the amplitude of ((sqrt3+i)/(-1-isqrt3))

Find the comjugate : 2-isqrt3-sqrt2

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 the equation x^3+b x^2+c x+1=0,(b (a) -pi (b) -pi/2 (c) pi/2 (d) pi

Express the following expression in the form of a+ib . ((3+isqrt(5))(3-isqrt(5))/((sqrt(3) + 2i)-(sqrt(3)-isqrt(2))))

Find the square roots : 1+isqrt(a^(4)-1)

If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G.P, then the common ratio of the G.P. is a. 3 b. 1/3 c. 2 d. 1/2

If alpha and beta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(x-3)+c(x-3)^2=0 are a. (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these