`{:(2x + 3y = 9),((p + q)x + (2p - q)y = 3(p + q+ 1)):}`

Find the values of p and q for which the following system of linear equations has infinite number of solutions: 2x+3y=9,quad (p+q)x+(2p-q)y=3(p+q+1)

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (a) (p-2q)x+(q-2p)y+1=0 (b) (p+q)(x+y)-2=0 (c) (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) (d)none of these

If the lines p_1 x + q_1 y = 1, p_2 x + q_2 y=1 and p_3 x + q_3 y = 1 be concurrent, show that the points (p_1 , q_1), (p_2 , q_2 ) and (p_3 , q_3) are colliner.

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (p-2q)x+(q-2p)y+1=0 (p+q)(x+y)-2=0 (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) none of these

If z=x+iy and z^(1/3) = p+iq, then (x/p+y/q) ÷ ( p^2 - q^2 )=