The equation of the bisector of the acute angle between the lines \( 2x-y+4=0 \)and \( x-2y=1 \)is (a) \( x-y+5=0\) (b)\( x-y+1=0\) (c)\( x-y=5\) (d) none of these
If A and G are respectively arithmetic and geometric mean between positive no. a and b; then the quadratic equation having a, b as its roots is \( {x}^{2}-2Ax+ {G}^{2}=0\)
The coefficient of \( {x}^{2}{y}^{5}{z}^{3}\) in the expansion of \( {\left(2x+y+3z\right)}^{10}\) is A.\( \frac{10!}{2!3!}{2}^{2}{3}^{2}\) B.\( \frac{10!}{2!5!3!}{2}^{2}{3}^{2}\) C.\( \frac{10!}{2!5!3!}{2}^{2}{3}^{3}\) D.\( \frac{10!}{2!5!3!}\)