`1 + (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ...`

The ecfentricity of the ellipse ((x-1)^(2))/(2) + (y + (3)/(4)) ^(2)= (1)/(16) is

Solve the following simultaneous equations. (1)/(3x + y) + (1)/(3x - y) = (3)/(4) , (1)/(2(3x + y)) - (1)/(2(3x - y)) = - (1)/(8)

The value of cos frac{pi} {5} cos frac{2pi} {5} cos frac{4pi} {5} cos frac{8pi} {5} = ............... A) (1)/(16) B) 0 C) (-1)/(8) D) (1)/(8)

Determine whether the sum to infinity of the following G.P. exist, if exist find them: 1/2 , 1/4 , 1/8 , 1/16 , ............

If A=[(1,3),(2,4)] and (AB)^(-1)=[((-1)/(2),(1)/(2)),((1)/(4),0)] , then B^(-1). A^(-1)=

int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{2}) + c B) tan^(-1) (x+2) + c C) (1/4) tan^(-1) (x+2) + c D) (1/2) tan^(-1) (frac{x+2}{2}) + c

The value of cos^(2)48^(@)-sin^(2)12^(@) is ........... A) (sqrt5-1)/( 4) B) (sqrt5+1)/(8) C) (sqrt3-1)/(4) D) (sqrt3+1)/(2sqrt2)

Add : 1 1/4+3 1/2