g(s)=4s^(2)-4x+1

Find the zeros of polynomial g(s)=4s^(2)-4s+1 and verify the relationship between the zeros and their coefficients:

Find the zeros of polynomial g(s)=4s^2-4s+1 and verify the relationship between the zeros and their coefficients:

Consider the parabolas S_(1)=y^(2)-4ax=0 and S_(2)=y^(2)-4bx=0.S_(2) will S_(1), if

solve the equations (i) x^2-2x-8 (ii) 4s^2-4s+1

The parabolas y^(2)=4x,x^(2)=4y divide the square region bounded by the lines x = 4, y = 4 and the co-ordinate axes. If S_(1),S_(2),S_(3) are respectively the areas of these parts numbered from top to bottom then S_(1):S_(2):S_(3) is

For each of the following fuctions, evaluate the derivative at the indicated value (s) : g(x)=4x^(8), x=-1/2, x=1/2

Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. The co-ordinates of P_(1) are :

Let each of the circles, S_(1)=x^(2)+y^(2)+4y-1=0 , S_(2)=x^(2)+y^(2)+6x+y+8=0 , S_(3)=x^(2)+y^(2)-4x-4y-37=0 touches the other two. Let P_(1), P_(2), P_(3) be the points of contact of S_(1) and S_(2), S_(2) and S_(3), S_(3) and S_(1) respectively and C_(1), C_(2), C_(3) be the centres of S_(1), S_(2), S_(3) respectively. Q. The co-ordinates of P_(1) are :