x=2at^(2),y=ar^(2)

Find the sum of x,y intercepts made by the lines x+y=a,x+y=ar,x+y=ar^(2) , on coordinates axes, when r=1/2,a!=0 .

If the ares are translated to the point (2,-3) then the equation x^(2)+3y^(2)+4x+18y+30=0 transforms to

The area of the triangle with vertices (a, b),(ar, bs), (ar^(2), bs^(2)) is

Show that the products of the corresponding terms o the sequences a ,ar,ar^(2),:'ar^(n-1) and A,AR,AR^(2),AR^(n-1) form a G.P.and find the common ratio.

Show that the products of the corresponding terms of the sequences a, ar,ar^(2),...,ar^(n-1) and A,AR,AR^(2),...,AR^(n-1) form a G.P,and find the common ratio.

Show that the products of the corresponding terms of the sequences a,ar,ar^(2),...,ar^(n-1) and a,AR,AR^(2),...,AR^(n-1) form a G.P,and find the common ratio.

Show that the products of the corresponding terms of the sequence a,ar, ar^(2),… ar^(n-1) and A,AR, AR^(2),…AR^(n-1) from a G.P. and find the common ratio.

Show that the products of the corresponding terms of the sequence a,ar, ar^(2),… ar^(n-1) and A,AR, AR^(2),…AR^(n-1) from a G.P. and find the common ratio.

Normal to the circle x^(2)+y^(2)=4 divides the circle having centre at (2,4) and radius 2 in the ares of ratio (pi -2) : (3pi +2) . Then the normal can be