Show that the number of tangents that can be drawn from the point `(5/2,1)` to the circle passing through the points `(1,sqrt(3)),(1,-sqrt(3))`
and `(3,-sqrt(3))` is zero.

Equation of circle passing through (1,sqrt(3)), (1,-sqrt(3)) and (3,-sqrt(3)) is

Prove That : No tangent can be drawn from the point (5/2,1) to the circumcircle of the triangle with vertices (1,sqrt(3)),(1,-sqrt(3)),(3,-sqrt(3)) .

Find the equations of lines passing through the point (1,0) and a distance (sqrt(3))/2 from the origin.

Find the equations of lines passing through the point (1,0) and a distance (sqrt(3))/2 from the origin.

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)

Show that the equations of eth straight lines passing through the point (3,-2) and inclined at 60^0 to the line sqrt(3)x+y=1a r ey+2=0a n dy-sqrt(3)x+2+3sqrt(3)=0.

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

Let RS be the diameter of the circle x^2+y^2=1, where S is the point (1,0) Let P be a variable apoint (other than R and S ) on the circle and tangents to the circle at S and P meet at the point Q.The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. then the locus of E passes through the point(s)- (A) (1/3,1/sqrt3) (B) (1/4,1/2) (C) (1/3,-1/sqrt3) (D) (1/4,-1/2)

Show that the equations of the straight lines passing through the point (3,-2) and inclined at 60^0 to the line sqrt(3)x+y=1 a r e y+2=0a n dy-sqrt(3)x+2+3sqrt(3)=0.

Number of circles that can be drawn through three non-collinear points is (a) 1 (b) 0 (c) 2 (d) 3