iii) `(4-sqrt2)(4+sqrt2)`

Check which of the following are solutions of the equations x-2y=4 and which are not: (i) (0,2) (ii) (2,0) (iii) (4,0) (iv) (sqrt(2),4sqrt(2)) (v) (1,\ 1)

Check which of the following are solutions of the equations x-2y=4 and which are not:(i) (0,2) (ii) (2,0) (iii) (4,0) (iv) (sqrt(2),4sqrt(2)) (v) (1,\ 1)

Check which of the following are solutions of the equations x-2y=4 and which are not:(i) (0,2) (ii) (2,0) (iii) (4,0) (iv) (sqrt(2),4sqrt(2)) (v) (1,\ 1)

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

The area bounded by the curves y""=""cos""x""a n d""y""="sin""x between the cordinates x""=""0""a n d""x""=(3pi)/2 is (1) 4sqrt(2)-""2 (2) 4sqrt(2)""1 (3) 4sqrt(2)+""1 (4) 4sqrt(2)""2

Express each one of the following with rational denominator: (i) (sqrt(3)+\ 1)/(2sqrt(2)-\ sqrt(3)) (ii) (6-4sqrt(2))/(6+4sqrt(2))

The value of the integral int_0^(3/2) [x^2]dx , where [] denotes the greatest integer function, is (A) 2+sqrt(2) (B) 2-sqrt(2) (C) 4+2sqrt(2) (D) 4-2sqrt(2)

The shortest distance between the parabola y^2 = 4x and the circle x^2 + y^2 + 6x - 12y + 20 = 0 is : (A) 0 (B) 1 (C) 4sqrt(2) -5 (D) 4sqrt(2) + 5

If int(x^2+4)/(x^4+16) dx=1/k tan^-1 ((x^2-4)/(kx))+c then k= (i) sqrt2 (ii) 4sqrt2 (iii) 2sqrt2 (iv) 2

Solve : (4-sqrt(5))/(4+sqrt(5))+ (2)/(5+sqrt(3))+(4+sqrt(5))/(4-sqrt(5))