If the line `y-sqrt(3)x+3=0` cut the parabola `y^2=x+2` at `P` and `Q` , then `A PdotA Q` is equal to [where `A=(sqrt(3),o)]` `(2(sqrt(3)+2))/3` (b) `(4sqrt(3))/2` `(4(2-sqrt(2)))/3` (d) `(4(sqrt(3)+2))/3`

If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP.AQ is equal to

If the line y-sqrt(3)x + 3=0 cuts the parabola y^2=x + 2 at A and B, then find the value of PA.PB(where P=(sqrt(3),0)

(4(sqrt(6) + sqrt(2)))/(sqrt(6) - sqrt(2)) - (2 + sqrt(3))/(2 - sqrt(3)) =

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , find x^2+y^2

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , find x^2+y^2

If x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) find x^2+y^2

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then the tangent of the angle subtended by line segment A B at the origin is (a) (8sqrt(3))/(205) (b) (8sqrt(3))/(209) (c) (8sqrt(3))/(215) (d) none of these

The rationalisation factor of 2+sqrt(3) is (a) 2-sqrt(3) (b) sqrt(2)+3 (c) sqrt(2)-3 (d) sqrt(3)-2

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)