[" The roots of each of the "f],[" (1) "3y^(2)+ky+12=0]

Locus of the mid points of the chords of the circle x^(2)+y^(2)=a^(2) which pass through the fixed point (h,k) is x^(2)+y^(2)+2hx+2ky=0x^(2)+y^(2)-2hx-2ky=0x^(2)+y^(2)+hx+ky=0x^(2)+y^(2)-hx-ky=0x^(2)+y^(2)+hx-ky=0

The roots of the each of the following quadratic equations are real and equal, find k. 3y^(2)+ky+12=0

The roots of the each of the following quadratic equations are real and equal, find k. 3y^(2)+ky+12=0

If one root of the quadratic equation 3y^(2)-ky+8=0 is 2/3 , find the value of k.

If one root of the quadratic equation 3y^(2)-ky+8=0 is 2/3 , find the value of k.

The x-coordinates of the vertices of a square of unit area are the roots of the equation x^(2)-3|x|+2=0 .The y -coordinates of the vertices are the roots of the equation y^(2)-3y+2=0. Then the possible vertices of the square is/are (1,1),(2,1),(2,2),(1,2)(-1,1),(-1,-1),(1,2),(2,2)(-2,1),(-1,-1),(-1,2),(-2,2)

Find the sum and product of the roots for each of the following quadratic equations 3y^(2)-y-4=0

Solve the following questions (i) if y=2/3 is one of the roots of the equation 3y^2-ky+8=0 , then find the value of k.