" 5."ax+by=-p,ax-cy=q

If the three lines x-3y=p,ax+2y=q and ax+y=r from a right-angled triangle then:

If |{:(a,b,ax+by),(b,c,bx+cy),(ax+by,bx+cy,0):}|=0 and ax^2+2abxy+cy^2ne0," then "......

If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q, then the line 5x + by - a = 0 passes through P and Q for :

If the circles x^2 + y^2 + 2ax + cy + a =0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then the line 5x + by - a = 0 passes through P and Q for

If the circles : x^2+ y^2+2ax + cy +a=0 and x^2+ y^2-3ax+dy -1=0 intersect in two distinct points P and Q, then the line 5x + by- a = 0 passes through P and Q for:

If b^2 -aclt0 and alt 0, then thevalue of the determinant |(a,b,ax+by),(b,c,bx+cy),(ax + by,bx + cy,0)| is