The limit of sum of areas of all the squares as `nrarr oo` is (1) `2R^2` (2) `3R^2` (3) `4R^2` (4) `8R^2`

The largest area of the trapezium inscribed in a semi-circle or radius R , if the lower base is on the diameter, is (a) (3sqrt(3))/4R^2 (b) (sqrt(3))/2R^2 (3sqrt(3))/8R^2 (d) R^2

The largest area of the trapezium inscribed in a semi-circle or radius R , if the lower base is on the diameter, is (a) (3sqrt(3))/4R^2 (b) (sqrt(3))/2R^2 (3sqrt(3))/8R^2 (d) R^2

The largest area of the trapezium inscribed in a semi-circle or radius R , if the lower base is on the diameter, is (a) (3sqrt(3))/4R^2 (b) (sqrt(3))/2R^2 (c) (3sqrt(3))/8R^2 (d) R^2

lim_ (n rarr oo) (1) / (n ^ (4)) sum_ (r = 1) ^ (n) r (r + 2) (r + 4) =

li sum_ (n-> oo) sum_ (r = 1) ^ (n) (1) / (sqrt (4n ^ (2) -r ^ (2)))

sum_(r=1)^(10) (4r-3)^(2) =

( r+ 2+ r_1) ( r_2+ r_3) ( r_3 + r_1)= 4Rs^(2)

The effective resistance between points P and Q of the electrical circuit shown in the figure is (a) (2Rr)/(R+r) (b) (8R(R+r))/(3R +r) (c) 2r + 4R (d) (5R)/2 + 2r . .

The effective resistance between points P and Q of the electrical circuit shown in the figure is (a) (2Rr)/(R+r) (b) (8R(R+r))/(3R +r) (c) 2r + 4R (d) (5R)/2 + 2r . .