Multiple choice

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm, then the area of the circle : AB तथा CD, एक वृत्त की दो समान्तर जीवाएँ हैं, जिनमें AB = 10 सेमी, तथा CD = 24 सेमी है। तदनुसार, यदि वे जीवाएँ केन्द्र के विपरीत दिशाओं में हों और उनके बीच की दूरी 17 सेमी हो, तो उस वृत्त का क्षेत्रफल है :

  1. 144 π cm.2/सेमी.2

  2. 169 π cm.2/सेमी.2

  3. 100 π cm.2/सेमी.2

  4. 121 π cm.2/सेमी.2
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B Correct answer
Explanation

For chord length L at distance d from center in a circle of radius r: L = 2√(r²-d²). AB=10 gives d1=√(r²-25), CD=24 gives d2=√(r²-144). Since chords are on opposite sides: d1+d2=17. Solving gives r=13, so area = πr² = 169π.

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