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The posted group of words has no any sense and needs to be edited to get a sense.
I edited it in this way:
Find the radius of the circle, which has the center at the point (4,3) and
touches the straight line 5x - 12 - 10 = 0.
Solution
All you need to do is to find the distance from the point (4,3) to the given straight line 5x - 12y - 10 = 0.
There is a remarkable formula which ideally suits for this need.
Let the straight line in a coordinate plane is defined in terms of its linear equation
a*x + b*y + c = 0,
where "a", "b" and "c" are real numbers, and let P = (,) be the point in the coordinate plane.
Then the distance from the point P to the straight line is equal to
d = .
Regarding this formula, see the lesson
The distance from a point to a straight line in a coordinate plane
in this site.
Substitute the given data a= 5, b= -12, c= -10, = 4, = 3 into the formula to get the distance under the question
= = 2.
Answer. The radius of the circle is 2 units.
Solved.