A circle passes through the points `A(1,0)a n dB(5,0),` and touches the y-axis at `C(0,h)dot` If `/_A C B` is maximum, then (a)`h=3sqrt(5)` (b) `h=2sqrt(5)` (c)`h=sqrt(5)` (d) `h=2sqrt(10)`

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h)dot . If /_A C B is maximum, then (a) h=3sqrt(5) (b) h=2sqrt(5) (c) h=sqrt(5) (d) h=2sqrt(10)

A circle passes through the points A(1,0) and B(5,0), and touches the y-axis at C(0,h). If /_ACB is maximum,then (a)h=3sqrt(5)(b)h=2sqrt(5)(c)h=sqrt(5)(d)h=2sqrt(10)

Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tangents meet the x- axis at Aa n dB . If the area of triangle P A B is minimum, then h=12sqrt(2) (b) h=6sqrt(2) h=8sqrt(2) (d) h=4sqrt(2)

Radius of the circle that passes through the origin and touches the parabola y^(2)=4ax at the point (a,2a) is (a) (5)/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt((5)/(2))a (d) (3)/(sqrt(2))a

Tangents are drawn to x^(2)+y^(2)=16 from the point P(0,h). These tangents meet the x- axis at A and B. If the area of triangle PAB is minimum,then h=12sqrt(2) (b) h=6sqrt(2)h=8sqrt(2) (d) h=4sqrt(2)

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)