[" (3) Pf the reots "y" the "equ" ,"(b-y)x^(2)+(a-a)x],[" are equal,p rour that "a+c=2b]

If (x_1, y_1)&(x_2, y_2) are the ends of diameter of a circle such that x_1&x_2 are the roots of the equation a x^2+b x+c=0 and y_1&y_2 are the roots of the equation p y^2+q y+c=0 . Then the coordinates f the centre of the circle is: (b/(2a), q/(2p)) (b) (-b/(2a),=q/(2p)) (b/a , q/p) (d) None of these

The solution of the differential equ (x^(2)+y^(2))dx=2xydy is -

If 2b = a + c and y^(2) = xz , then what is x^(b-c) y^(c-a)z^(a-b) equal to ?

a, b, c are in G.P. If x, y are A.M.'s between a, b and b, c respectively, prove that- a/x+c/y=2 and 1/x+1/y=2/b .

If a,b,c are in G.P.and x,y are the arithmetic means of a,b and b,c respectively, then prove that (a)/(x)+(c)/(y)=2 and (1)/(x)+(1)/(y)=(2)/(b)

If a,b,c are in G.P. and x,y are the arithmetic means of a,b and b,c respectively. Then prove that a/x+c/y=2 and 1/x+1/y=2/b .

If a, b and c are in G.P and x and y, respectively , be arithmetic means between a,b and b,c then prove that a/x+c/y=2 and 1/x+1/y=2/b

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (a)/(x)+(c )/(y)=2 .

If a,b,c are in G.P and x,y are the arithmetic mean of a and b aand b,c prove that a/x+c/y=2and 1/x+1/y=2/b.

If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c respectively, prove that, (1)/(x) + (1)/(y) = (2)/(b)