Allied & ICAR Exam Bank • ALLIED_1894 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

From an external point P, a secant PAB intersects a circle at A and B, and PT is a tangent to the circle. If PA = 9 cm and AB = 7 cm, the length of tangent PT is:

Options:

  • (A) 12 cm
  • (B) 10 cm
  • (C) 14 cm
  • (D) 11 cm

Answer Key:

A

Step-by-Step Solution & Explanation

$PB = PA + AB = 9 + 7 = 16$ cm. $PT^2 = PA \times PB = 9 \times 16 = 144 \implies PT = 12$ cm.
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