ax+by=-pquad ,quad ax-cy=q

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

If p and q are the roots of the quadratic equation ax^(2)+bx+c=0 then lim_(x rarr p)(1+ax^(2)+bx+c)^((1)/(x-p))

[[a, b, ax + byb, c, bx + cyax + by, bx + cy, 0]] = (b ^ (2) -ac) (ax ^ (2) + 2bxy + cy ^ (2))

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