Multiple choice

Match the options of List 1 with the options of List 2 f or the circle $\mathrm{x}^{2}+\mathrm{y}^{2}=49$ List I List II

  1. $A-4 \ B-1\ C- 2\ D- 3$
  2. $A-2 \ B-1\ C- 3\ D- 4$
  3. $A-3 \ B-1\ C- 2\ D- 4$
  4. $A-4 \ B-2\ C- 3\ D- 1$
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A Correct answer
AI explanation

Using the tangent length formula d squared minus r squared for point (6,4) and circle radius 7, the length is the square root of 52 squared minus 7 squared, which is the square root of 3, matching A to 4. The chord of contact length formula gives 7 times the square root of 3 squared divided by 52, matching B to 1. The distance from (6,4) to the origin is the square root of 6 squared plus 4 squared, matching C to 2. The shortest distance to the circle is the square root of 52 minus 7, matching D to 3.