Tangents are drawn to the hyperbola `x^2/9-y^2/4=1` parallet to the sraight line `2x-y=1.` The points of contact of the tangents on the hyperbola are (A) `(2/(2sqrt2),1/sqrt2)` (B) `(-9/(2sqrt2),1/sqrt2)` (C) `(3sqrt3,-2sqrt2)` (D) `(-3sqrt3,2sqrt2)`

Tangents are drawn to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 parallet to the sraight line 2x-y=1. The points of contact of the tangents on the hyperbola are (A) ((2)/(2sqrt(2)),(1)/(sqrt(2)))(B)(-(9)/(2sqrt(3)),(1)/(sqrt(2)))(C)(3sqrt(3),-2sqrt(2))(D)(-3sqrt(3),2sqrt(2))

The value of sqrt(3-2sqrt(2)) is sqrt(2)-1(b)sqrt(2)+1(c)sqrt(3)-sqrt(2)(d)sqrt(3)+sqrt(2)

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))

A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci at (+-2,0) them the tangent to this hyperbola at P also passes through the point (A)(sqrt(3),sqrt(2))(B)(-sqrt(2),-sqrt(3))(C)(3sqrt(2),2sqrt(3))(D)(2sqrt(2),3sqrt(3))

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

Simplify (1/2+1/sqrt2-sqrt3)/(sqrt3-1/sqrt2-1/sqrt3)

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)

1/(1-sqrt(2))+ 1/(sqrt(2)-sqrt(3))+1/(sqrt(3)-sqrt(4))+..........+1/(sqrt(8)-sqrt(9))

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) (3)/(2) (D) (3sqrt(5))/(2)