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 (a) `(1+sqrt(2),-2)` (b) `(1-sqrt(2),-2)` (c) `(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 parallel to the coordinate axis. The coordinates of its vertices are

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(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

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (sqrt(2),2) (b) (-2,-sqrt(2)) (-sqrt(2),2 (d) none of these

The solution for x of the equation int_(sqrt(2))^x(dt)/(tsqrt(t^2-1))=pi/2 is pi (b) (sqrt(3))/2 (c) 2sqrt(2) (d) none of these

Find the square roots : y+sqrt(y^(2)-x^(2)) (x6^(2)gt y^(2))

The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and the circle x^2+y^2=3 are +-1 (b) +-sqrt(2) (c) +-sqrt(3) (d) none of these

If the sides of a right-angled triangle are in A.P., then the sines of the acute angles are 3/5,4/5 b. 1/(sqrt(3)),sqrt(2/3) c. 1/2,(sqrt(3))/2 d. none of these

The value of lim_(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a. 1/2 b. 2 c. sqrt(2) d. none of these

The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) is (a) 1 (b) 2 (c) 3 (d) none of these