`y=sqrt3 x+c_1 ` and `y=sqrt3 x+c_2` are two parallel tangents of a circle of radius `2` units then `|c_1-c_2|=`

y = sqrt(3)x + c_(1) & y = sqrt(3)x + c_(2) are two parallel tangents of a circle of radius 2 units, then |c_(1) – c_(2)| is equal to

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

The line sqrt3x+y-c=0 is atangent to the circle x^2+y^2=4 , if c is equal to

A circle C is tangent to the x and y axis in the first quadrant at the points P and Q respectively. BC and AD are parallel tangents to the circle with slope –1. If the points A and B are on the y-axis while C and D are on the x-axis and the area of the figure ABCD is 900 . sqrt(2) sq. units then find the radius of the circle.

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is (a) 2sqrt(3)-3 (b) 2sqrt(2)-1 (c) 2sqrt(2)-1 (d) 1

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is (a) 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1

If C_1 (1, 3) and C_2 (4, 3)are the centres of two circles whose radical axis is y-axis. If the radius of the 1st circle is 2sqrt2 units, then the radius of the second circle is