1.

Let PQ:2x+y+6=0 is a chord of the curve x^(2)-4y^(2)=4. Coordinates of the point R(alpha, beta) that satisfy alpha^(2)+beta^(2)-1 le 0, such that area of triangle PQR is minimum, are given by :

Answer»

`((-2)/(SQRT(5)),(1)/(sqrt(5)))`
`((-2)/(sqrt(5)),(-1)/(sqrt(5)))`
`((2)/(sqrt(5)),(1)/(sqrt(5)))`
`((2)/(sqrt(5)),(-1)/(sqrt(5)))`

Answer :B


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