Multiple choice

If AB and AC are two tangents to a circle, ST is another tangent to the circle at the point P on the circle, which intersects AB and AC at S and T respectively. If AB = 15 cm. and TA = 9 cm, then PT is- यदि AB और AC एक वृत्त की दो स्पर्श-रेखाएं हैं, वृत्त पर स्थित बिन्दु P पर ST एक दूसरी स्पर्श-रेशा है, जो AB और AC को क्रमशः बिन्दु S और T पर काटती है । यदि AB = 15 सेमी. और TA = 9 सेमी. तो PT है-

  1. 4.5 cm./सेमी.

  2. 6.5 cm./सेमी.

  3. 6 cm./सेमी.

  4. 7.5 cm./सेमी.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since AB and AC are tangents from A, AB = AC = 15 cm (tangent segments from same point are equal). Given TA = 9 cm, then TC = AC - TA = 15 - 9 = 6 cm. By tangent segment theorem, PT = TC = 6 cm (tangents from T to the circle). Options A, B, and D are incorrect.