Multiple choice

Find the length of the tangent drawn from a point whose distance from the centre of a circle is 25 cm.Given that the radius of the circle is 7cm. उस स्पर्श रेखा की लम्बाई ज्ञात कीजिए जोकि वृत्त के केंद्र से 25 सेमी दूरी पर स्थित किसी बिन्दु से खींची जाती है। दिया है कि वृत्त की त्रिज्या 7 सेमी है।

  1. 12 cm/सेमी

  2. 18 cm/सेमी

  3. 24 cm/सेमी

  4. 28 cm/सेमी

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

The tangent from an external point to a circle is always perpendicular to the radius at the point of contact. This forms a right triangle with the radius (7 cm), tangent length (unknown), and distance from center (25 cm) as sides. By Pythagoras: tangent² + 7² = 25², so tangent² = 625 - 49 = 576. Therefore tangent = √576 = 24 cm. Option C is correct.