" (iii) "(x^(2))/(2)+6x+18

Discuss the relative position of the fol- lowing pair of circles. x^(2)+y^(2) - 4x - 6y - 12 = 0 x^(2) + y^(2) + 6 x+ 18 y + 26 = 0 .

Factorise (i) x^(2)+9x+18 (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 (iv) 84-2r-2r^(2)

Consider the circles S_(1):x^(2)+y^(2)-4x-6y-12=0 and S_(2):x^(2)+y^(2)+6x+18y+26=0 then which of the following is (are) correct?

Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 touch each other. Also find the point of contact and common tangent at this point of contact.