A square is inscribed in the circle `x^2+y^2-2x+4y+3=0` . Its sides are parallel to the coordinate axes. One vertex of the square is `(1+sqrt(2),-2)` (b) `(1-sqrt(2),-2)` `(1,-2+sqrt(2))` (d) none of these

A square is inscribed in the circle x^(2)+y^(2)-2x+4y-93=0 with its sides are parallel to coordinate axes then vertices of square are

a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One side of the square is parallel to y = x + 3, then one vertex of the square is :

a square is inscribed in the circle x^2 + y^2- 10x - 6y + 30 = 0. One side of the square is parallel to y = x + 3, then one vertex of the square is :

A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sides are parallel to co-ordinate axis then the distance of the nearest vertex to origin, is equal to (A) 13 (B) sqrt127 (C) sqrt41 (D) 1

A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sides are parallel to co-ordinate axis then the distance of the nearest vertex to origin, is equal to (A) 13 (B) sqrt127 (C) sqrt41 (D) 1

A square is inscribed inside the ellipse x^2/a^2+y^2/b^2=1 , the length of the side of the square is

The image of the centre of the circle x^2 + y^2 = 2a^2 with respect to the line x + y = 1 is : (A) (sqrt(2), sqrt(2) (B) (1/sqrt(2) , sqrt(2) ) (C) (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

The point A(2,1) is translated parallel to the line x-y=3 by a distance of 4 units. If the new position A ' is in the third quadrant, then the coordinates of A ' are (A) (2+2sqrt(2),1+2sqrt(2) (B) (-2+sqrt(2),-1-2sqrt(2)) (C) (2-2sqrt(2) , 1-2sqrt(2)) (D) none of these

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these