Yes, the lady mistaken in identifying  the bear she met  the forest. The bear that she saw is the other bear . 

Introduction:
In the story "The Bear Story" from NCERT Class 7 English textbook, a lady encounters a bear in the forest. However, upon closer examination, it becomes apparent that the lady was mistaken in identifying the bear she met.

Evidence from the Text:
1. The lady describes the bear as having a pink nose, a red coat, and a blue hat. This is highly unlikely as bears do not possess these characteristics naturally.
2. The lady claims that the bear spoke to her and asked her for food. Bears are incapable of speaking like humans.
3. The bear dances, sings, and performs tricks for the lady. This behavior is not characteristic of real bears.

Explanation:
1. The lady's description of the bear's physical appearance contradicts reality. Bears have black or brown noses, and their fur color varies from brown to black. They do not wear clothes or accessories like hats.
2. Bears do not possess the ability to speak. This is a fictional element created by the lady's imagination.
3. The bear's behavior of dancing, singing, and performing tricks is not natural for a bear. These actions suggest that the bear is not a real bear but rather a person dressed up as a bear.

Conclusion:
Based on the evidence from the text, it is clear that the lady was mistaken in identifying the bear she encountered in the forest. Her description of the bear's appearance, the bear's ability to speak, and its human-like behavior all point towards the bear being a person dressed up as a bear rather than a real bear.