If `a+b+c=0 and p != 0,` the lines `a x + (b+c)y = p,b x +(c + a)y = p and c x (a+b)y =p`

If a+b+c=0 and pne 0 then lines ax + (b+ c)y =p, bx+ (c+a)y=p and cx+ (a+b) y=p

If a+b+c=0 and pne 0 then lines ax + (b+ c)y =p, bx+ (c+a)y=p and cx+ (a+b) y=p

If a, b, c be in A.P, then a x+b y+c=0 represents

If H.C.F. of p and q is x and q=x y , then the L.C.M. of p and q is p q (b) q y (c) x y (d) p y

SECTION MULTIPLE CORRECT CHOICE TYPE Example 41 Let a, b, c , p, q be five different non-zero real numbers and x, y, z be three numbers satisfying the system of equations a a-p aq then (a) x + y + z = a + b + c-p-q abc (b) x = pq 0 in (c) y = (a-p)(h-p)(c-p) p(p-q) (a-q)(b-q)(c-q) aq-p) (d) z = b.

If a, b a n d c are in A.P., a x ,b y ,a n dc z in G.P. and x,y,z in H.P. then prove that x/z+z/x=a/c+c/a .

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these