[" (d) "(1)/(c)-(1)/(c^(2))],[" a) "int((x^(4)+1))/((x^(2)+1))dx=?]

The potential at point D is = ....... as shown In below figure. (a) (1)/(2) (V_(1)+V_(2)) (b) (C_(1)V_(2)+C_(2)V_(1))/(C_(1)+C_(2)) (c) (C_(1)V_(1)+C_(2)V_(2))/(C_(1)+C_(2)) (d) (C_(2)V_(1)-C_(1)V_(2))/(C_(1)+C_(2))

If a,b,c,d are in G.P.prove that: (i) quad (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P. (i) (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.

If a,b,c,d are in G.P.prove that: (a^(2)+b^(2)),(b^(2)+c^(2)),(c^(2)+d^(2)) are in G.P.(a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P.(1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.(a^(2)+b^(2)+c^(2)),(ab+bc+cd),(b^(2)+c^(2)+d^(2))

The minimum value of ((A^(2) +A+1) (B^(2) +B+1) (C^(2) +C+1 )(D^(2) +D+1 ))/(ABCD) where A,B,C,D gt 0 is :

If a+(1)/(b)=1 and b+(1)/(c)=1, then c+(1)/(a) is equal to (a)0(b)(1)/(2)(c)1(d)2

The area of the triangle formed by the lines y=m_(1x)+c_(1),y=m_(2),x+c_(2) and x=0 is (1)/(2)((c_(1)+c_(2))^(2))/(|m_(1)-m_(2)|) b.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)+m_(2)|) c.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|) d.((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|)

If a,b,c,d are in G.P.,prove that (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P.and (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P

If a, b, c, d are in GP, then prove that 1/((a^(2)+b^(2))), 1/((b^(2)+c^(2))), 1/((c^(2)+d^(2))) are in GP.

If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b) 1 (c) -1 (d) 3