`(1, 2sqrt2)`is a point on circle, `x^2 + y^2 = 9`. Which of the following is not the point on the circle at 2 units distance from `(1, 2sqrt2)`?

A(1/sqrt(2), 1/sqrt(2)) is a point on the circle x^2 + y^2 = 1 and B is another point on the circle such that AB = pi/2 units. Then coordinates of B can be : (A) (1/sqrt(2), - 1/sqrt(2)) (B) (-1/sqrt(2), 1/sqrt(2)) (C) (-1/sqrt(2), - 1/sqrt(2)) (D) none of these

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that are length A B=pi/2 units. Then, the coordinates of B can be

A((1)/(sqrt(2)),(1)/(sqrt(2))) is a point on the circle x^(2)+y^(2)=1 and B is another point on the circle such that are length AB=(pi)/(2) units. Then,the coordinates of B can be ((1)/(sqrt(2)),1sqrt(2))( b) (-(1)/(sqrt(2)),1sqrt(2))(-(1)/(sqrt(2)),-(1)/(sqrt(2)))( d) none of these

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that are length A B=pi/2 units. Then, the coordinates of B can be (a) (1/(sqrt(2)),-1/sqrt(2)) (b) (-1/(sqrt(2)),1/sqrt(2)) (c) (-1/(sqrt(2)),-1/(sqrt(2))) (d) none of these

A(1/(sqrt(2)),1/(sqrt(2))) is a point on the circle x^2+y^2=1 and B is another point on the circle such that arc length A B=pi/2 units. Then, the coordinates of B can be (a) (1/(sqrt(2)),-1/sqrt(2)) (b) (-1/(sqrt(2)),1/sqrt(2)) (c) (-1/(sqrt(2)),-1/(sqrt(2))) (d) none of these

P(sqrt2,sqrt2) is a point on the circle x^2+y^2=4 and Q is another point on the circle such that arc PQ= 1/4 circumference. The co-ordinates of Q are

P(sqrt2,sqrt2) is a point on the circle x^2+y^2=4 and Q is another point on the circle such that arc PQ= 1/4 circumference. The co-ordinates of Q are

Find the points on the unit circle x^(2)+y^(2)=1 nearest and farthest from (1,1)