Tangents & SecantsXAT Previous-Year Questions

1 previous-year question on Tangents & Secants from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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Tangents & Secants · XAT PYQs

XAT 2019 · QA & DI
Q1.

Let C be a circle of radius √20 cm. Let l1, l2 be the lines given by 2x − y −1 = 0 and x + 2y −18 = 0, respectively. Suppose that l1 passes through the center of C and that l2 is tangent to C at the point of intersection of l1 and l2.
  
If (a, b) is the center of C, which of the following is a possible value of a + b?