Question
सिद्ध कीजिए कि जहां एक्स, x, y, z > 0 .
Answer :
Word Count : 373
सिद्ध करने के लिए हम इस असमानता को: \[ \frac{1}{2}(x + y + z) \le \frac{x^2}{y + z} + \frac{y^2}{x + z} + \frac{z^2}{x + y} \] हमें साबित करना है कि यह असमानता \( x, y, z > 0 \) के लिए सही है। इसे हम Cauchy-Schwarz inequality का उपयोग करके सिद्ध करेंगे। ### Cauchy-Schwarz Inequality का रूप: Cauchy-Schwarz inequality कहती _____ _____ _________ ____ _____ ______ ________ ________ _______ _____.
__________ _______ __________ ___ ______ _______ _____ _______ ________.
_________ ____ ______ _____ _______ ______ __________ ___ ________.
________ ___ ______ ___ ______ ________ ______ ______ _____ ________.
__________ ___ ___ ______ ______ _____.
______ _____ _____ ____ __________ _____ _____ ________ _________ _____.
______ __________ _________ ___ __________ _________ ______ __________ __________ _____.
______ ______ ___ _____ _____ ________ _____ __________ ____ ___ ______ _____.
_________ ______ _________ __________ ____ ______ _____ _________ __________ ___ ______.
________ ___ _____ ______ _____ ___.
_________ ______ ________ _____ __________ __________ __________ _______ ________ _____ __________ __________.
______ _____ _____ ______ ________.
_____ _________ ___ _________ ____ _______ _________ ________ _____.
_______ ______ ___ __________ ____ _________ _________ _____ __________ _____ ____ _________.
____ ________ ____ __________ _____.
_______ __________ _________ _______ _______ _________ __________ _______ _________.
_________ _____ __________ ______ ________ ____ ________ ______ ________ ______ _________.
______ _______ __________ ________ ______ ___.
_________ __________ _______ ____ ________.
________ _________ _________ ___ _____ ______ ____ __________.
______ ____ __________ _________ ______ ______ ____ _________.
_____ ___ _____ ___ ____ _______ ________ _______ ____ ____ __________.
________ ______ _____ _________ ___ ___.
__________ __________ ______ ________ _______ ____ __________.
_____ ________ ______ ____ __________ ________ ________ ____ ______ ____ ________.
__________ ________ _____ ________ _________ ________ _________.
___ ____ ___ ______ ________ _______ _________ ____.
____ ___ _________ ____ ______ ___ ___ _____ ______ _______.
______ __________ ________ _______ ______.
______ _________ ______ __________ __________ ___ _______ ____ ___ ________ __________ __________.
______ __________ ________ _____ ________ _______ __________ ________.
______ _____ _________ _____ __________ ______.
__________ ____ ____ ________ _____ _________ _____ _______ ___ ___ _____ _____.
_______ ____ ___ ________ ___.
__________ ______ ___ ____ __________ _______.
______ ____ _________ _________ ____ ____ ______ ____ ________ _____ _____.
_______ ____ _________.
Get Full Answer on WhatsApp
सिद्ध करने के लिए हम इस असमानता को: \[ \frac{1}{2}(x + y + z) \le \frac{x^2}{y + z} + \frac{y^2}{x + z} + \frac{z^2}{x + y} \] हमें साबित करना है कि यह असमानता \( x, y, z > 0 \) के लिए सही है। इसे हम Cauchy-Schwarz inequality का उपयोग करके सिद्ध करेंगे। ### Cauchy-Schwarz Inequality का रूप: Cauchy-Schwarz inequality कहती _____ _____ _________ ____ _____ ______ ________ ________ _______ _____.
__________ _______ __________ ___ ______ _______ _____ _______ ________.
_________ ____ ______ _____ _______ ______ __________ ___ ________.
________ ___ ______ ___ ______ ________ ______ ______ _____ ________.
__________ ___ ___ ______ ______ _____.
______ _____ _____ ____ __________ _____ _____ ________ _________ _____.
______ __________ _________ ___ __________ _________ ______ __________ __________ _____.
______ ______ ___ _____ _____ ________ _____ __________ ____ ___ ______ _____.
_________ ______ _________ __________ ____ ______ _____ _________ __________ ___ ______.
________ ___ _____ ______ _____ ___.
_________ ______ ________ _____ __________ __________ __________ _______ ________ _____ __________ __________.
______ _____ _____ ______ ________.
_____ _________ ___ _________ ____ _______ _________ ________ _____.
_______ ______ ___ __________ ____ _________ _________ _____ __________ _____ ____ _________.
____ ________ ____ __________ _____.
_______ __________ _________ _______ _______ _________ __________ _______ _________.
_________ _____ __________ ______ ________ ____ ________ ______ ________ ______ _________.
______ _______ __________ ________ ______ ___.
_________ __________ _______ ____ ________.
________ _________ _________ ___ _____ ______ ____ __________.
______ ____ __________ _________ ______ ______ ____ _________.
_____ ___ _____ ___ ____ _______ ________ _______ ____ ____ __________.
________ ______ _____ _________ ___ ___.
__________ __________ ______ ________ _______ ____ __________.
_____ ________ ______ ____ __________ ________ ________ ____ ______ ____ ________.
__________ ________ _____ ________ _________ ________ _________.
___ ____ ___ ______ ________ _______ _________ ____.
____ ___ _________ ____ ______ ___ ___ _____ ______ _______.
______ __________ ________ _______ ______.
______ _________ ______ __________ __________ ___ _______ ____ ___ ________ __________ __________.
______ __________ ________ _____ ________ _______ __________ ________.
______ _____ _________ _____ __________ ______.
__________ ____ ____ ________ _____ _________ _____ _______ ___ ___ _____ _____.
_______ ____ ___ ________ ___.
__________ ______ ___ ____ __________ _______.
______ ____ _________ _________ ____ ____ ______ ____ ________ _____ _____.
_______ ____ _________.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★