जॉइन Examsbookउत्तर : 4. "45/4"
O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?5
प्र: O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?
- 110false
- 26false
- 335/4false
- 445/4true
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उत्तर : 4. "45/4"
व्याख्या :
Answer: D) 45/4 Explanation: As clear from the figure itself, triangle OQX and triangle O'PX are similar. So, OQ/O'P = OX/O'X => OX = (7/9)xO'X And since, OX + O'X = 20 => (7/9)xO'X + O'X = 20 => O'X = 45/4