The equation `[1x y][1 3 4 0 2-1 0 0 1]=[0]` has fo`ry=0` b. rational roots for `y=-1` d. integral roots Then (ii) a. (p) (r) b. (q) (p) c. (p) (q) d. (r) (p)

The equation [1x y][1 3 4 0 2-1 0 0 1]=[0] has fory=0 b. rational roots for y=-1 d. integral roots Then (ii) a. (p) (r) b. (q) (p) c. (p) (q) d. (r) (p)

The equation [1 x y][(1,3,1),(0,2,-1),(0,0,1)] [(1),(x),(y)]=[0] has i)for y=0 (p) rational roots ii) for y=-1 (q) irrational roots (r) integral roots

If p,q,r in R and the quadratic equation px^2+qx+r=0 has no real roots, then (A) p(p+q+r)gt0 (B) (p+q+r)gt0 (C) q(p+q+r)gt0 (D) p+q+rgt0

If p,q,r epsilon R and the quadratic equation px^2+qx+r=0 has no real roots, then (A) p(p+q+r)gt0 (B) (p+q+r)gt0 (C) q(p+q+r)gt0 (D) p+q+rgt0

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 pqrne0 and the system of equations (p + a) x + by + cz = 0 , ax + (q + b)y + cz = 0 ,ax + by + (r + c) z =0 has a non-trivial solution, then value of (a)/(p) + (b)/(q) + (c )/(r ) is a)-1 b)0 c)1 d)2

If the roots of the equation, x^3 + px^2+qx-1 = 0 form an increasing G.P. where p and q are real,then (a) p +q = 0 (b) p in (-3, oo) (c) one of the roots is unity (d) one root is smaller than 1 and one root is greater than 1