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Chapter 10: Q. 12 (page 667)

In a hyperbola, if a=3 and c=5, then b= ________

Short Answer

Expert verified

In a hyperbola, of a=3and c=5,then b=4.

Step by step solution

01

Step 1. Given Information

Given that a=3and c=5.

Aim: We need to find the value ofb.

02

Step 2. Concept

For hyperbolas (where a<c), the relationship between a,band c isc2-a2=b2.

03

Step 3. Finding the value of b.

We have, b2=c2-a2.

Substituting c=5and a=3,we get,

b2=52-32b2=25-9b2=16b=16b=4

Therefore, the value ofbis4.

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