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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Paragraph: Consider the two points A (3,7) and B (6,5) . Family of circles S is drawn passing through these two points. A circle C is also given whose equation is x ^2+ y ^2-4 x -6 y -3=0 . On the basis of above information answer the following : Question: If O is origin and P is the centre of C , then difference of the squares of the length of the tangents from A and B to the circle C is equal to -

Options

  1. AAB ^2
  2. BOP ^2
  3. C|A P^2-B P^2 |
  4. Dnone of these

Correct answer

C. |A P^2-B P^2 |

Step-by-step solution

Difference of the square of the length of the tangents from A and B to the circle C is aligned & |(9+49-12-42-3)-(36+25-24-30-3)|=3 & AB ^2=13, OP ^2=13, AP ^2=17, BP ^2=20 aligned

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