The radius of the circle touching the parabola `y^2=x` at (1, 1) and having the directrix of `y^2=x` as its normal is `(a)(5sqrt(5))/8` (b) `(10sqrt(5))/3` `(c)(5sqrt(5))/4` (d) none of these

The radius of circle touching parabola y^(2)=x at (1,1) and having directrix of y^(2)=x as its normal is

The radius of the circle touching the parabola y^2=x at (1, 1) and having the directrix of y^2=x as its normal is (5sqrt(5))/8 (b) (10sqrt(5))/3 (5sqrt(5))/4 (d) none of these

Let the radius of the circle touching the parabola y^(2)=x at (1, 1) and having the directrix of y^(2)=x as its normal is equal to ksqrt5 units, then k is equal to

Let the radius of the circle touching the parabola y^(2)=x at (1, 1) and having the directrix of y^(2)=x at (1, 1) and having the directrix of y^(2)=x as its normal is equal to ksqrt5 units, then k is equal to

If y=2x+3 is a tangent to the parabola y^(2)=24x, then is distance from the parallel normal is 5sqrt(5)(b)10sqrt(5)(c)15sqrt(5)(d) None of these

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

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

Length of the latus rectum of parabola with focus (3,-4) and directrix 6x-7y+5=0 will be (A) (51)/(sqrt(85)) (B) (102)/(sqrt(85)) (C) (204)/(sqrt(85)) (D) none of these

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)