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The length of the shortest path that begins at the point (2,5), touches the x-axis and then ends at a point on the circle `x^2+y^2+12x-20y+120=0` is (A) `13` (B) `4sqrt10` (C) `15` (D) `6+sqrt(89)`

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The length of the shortest path that begins at the point (2,5) ,touches the x-axis and then ends at a point on the circle x^(2)+y^(2)+12x-20y+120=0 is (A)13(B)4sqrt(10)(C)15(D)6+sqrt(89)

The length of the shortest path that begins at the point (-1, 1), touches the x-axis and then ends at a point on the parabola (x-y)^(2)=2(x+y-4) , is :

The shortest distance between the parabola y^2 = 4x and the circle x^2 + y^2 + 6x - 12y + 20 = 0 is : (A) 0 (B) 1 (C) 4sqrt(2) -5 (D) 4sqrt(2) + 5

The shortest distance between the parabola y^2 = 4x and the circle x^2 + y^2 + 6x - 12y + 20 = 0 is : (A) 0 (B) 1 (C) 4sqrt(2) -5 (D) 4sqrt(2) + 5

The length of the tangent from the point (4, 5) to the circle x^2 + y^2 + 2x - 6y = 6 is : (A) sqrt(13) (B) sqrt(38) (C) 2sqrt(2) (D) 2sqrt(13)

The length of the tangent from the point (4, 5) to the circle x^2 + y^2 + 2x - 6y = 6 is : (A) sqrt(13) (B) sqrt(38) (C) 2sqrt(2) (D) 2sqrt(13)

The shortest distance from the point (0, 5) to the circumference of the circle x^2 + y^2 - 10x + 14y - 151 = 0 is: (A) 13 (B) 9 (C) 2 (D) 5

The shortest distance from the point (0, 5) to the circumference of the circle x^2 + y^2 - 10x + 14y - 151 = 0 is: (A) 13 (B) 9 (C) 2 (D) 5