Multiple choice

N is the foot of the perpendicular from a point P of a circle with radius 7 cm, on a diameter AB of the circle. If the length of the chord PB is 12 cm, the distance of the point N from the point P is एक वृत्त जिसकी त्रिज्या 7 सेमी है उसके बिन्दु P से व्यास AB पर एक लम्ब डाला गया है जिसका आधार N है यदि जीवा PB की लम्बाई 12 सेमी. है तो बिन्दु N से बिन्दु P की दूरी है

  1. 6 5 7

  2. 12 2 7

  3. 3 5 7

  4. 10 2 7

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

In a circle of radius 7, chord PB = 12. Distance from center O to chord: d = √(7² - 6²) = √13. Coordinate approach: Place circle at origin, AB as x-axis. If P = (x,y) on circle and PB is chord to B = (7,0), with PB = 12, we find PN (distance from P to diameter AB). Using circle geometry: PN = (OP × PB)/radius = (7 × 12)/7 = 72/7 = 10 2/7.