If the equation `y^2+x^2-10x+21=0` is satisfied by real values of x and y, prove that x lies between 3 and 7 and y lies between (-2) and 2.

Prove that if the equation x^2+9y^2-4x+3=0 is satisfied for real values of x and y ,then x must lie between 1 and 3 and y must lie between -1/3 and 1/3 .

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

Prove that if the equation x^(2)+9y^(2)-4x+3=0 is satisfied for real values of x and y, then x must lie between 1 and 3and y must lie between-1/3and 1/3 .

If x^2 + 4y ^2 - 8x +12 =0 is satified by real values of x nad y then y must lies between

If x^2 + 4y ^2 - 8x +12 =0 is satified by real values of x nad y then y must lies between

If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alpha and y=beta then

If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alphaandy=beta then

If y=x^3-ax^2+12x+5 is increasing for all values of x, then a lies between