अतिपरवलय 9x2 - 25y2 = 225 के नाभिलंब की लम्बाई ज्ञात कीजिए।

  1.  इकाई
  2.  इकाई
  3.  इकाई
  4.  इकाई

Answer (Detailed Solution Below)

Option 2 :  इकाई
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Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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संकल्पना:

अतिपरवलय:

समीकरण

अनुप्रस्थ अक्ष का समीकरण 

y = 0

x = 0

संयुग्म अक्ष का समीकरण

x = 0

y = 0

अनुप्रस्थ अक्ष की लम्बाई 

2a

2a

संयुग्म अक्ष की लम्बाई 

2b

2b

शीर्ष 

(± a, 0)

(0, ± a)

फोकस 

(± ae, 0)

(0, ± ae)

संचालिका 

x = ± a/e

y = ± a/e

केंद्र 

(0, 0)

(0, 0)

उत्केंद्रता 

नाभिलंब की लम्बाई 

बिंदु (x, y) की फोकस दूरी

ex ± a

ey ± a

 

गणना:

दिया गया समीकरण, 9x2 - 25y2 = 225 है। 

⇒  

मानक समीकरण के साथ तुलना करने पर, a = 5 और b = 3  

हम जानते हैं कि, नाभिलंब की लम्बाई 

L.R =  =  

L.R =  इकाई

सही विकल्प 2 है।

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