दिखाइए कि समतल गोले का स्पर्श तल है।

Question

दिखाइए कि समतल $2x+y+2z=0$ गोले $x^2+y^2+z^2-2x+2y-2z+2=0$ का स्पर्श तल है।

29 Apr 2025

Answer :

Word Count : 333

हमें दिखाना है कि समतल $$ 2x + y + 2z = 0 $$ गोले $$ x^2 + y^2 + z^2 - 2x + 2y - 2z + 2 = 0 $$ का स्पर्शतल (tangent plane) है। --- ### चरण 1: गोले का केंद्र और त्रिज्या ज्ञात करें गोले का सामान्य समीकरण होता है: $$ x^2 + y^2 + z^2 + Dx + Ey + Fz _______ ___ ________ __________ _______ ___ __________ __________ _______ _____ __________.
__________ ____ __________ ____ ___ _____ __________ ______ ________.
___ ___ _________ ___ __________ _______.
_______ _____ _________ ____ ____ ___ _________ _____ ___ ____ _______.
__________ ______ _______ ________ ______ _____ ______ _________.
___ ____ ________ _________ _____ ______ _________ _________ __________ ________ ____.
___ ___ _________ _______ _________ ___ ___ ________ _____ __________ _______ ____.
_____ ______ __________ ________ _________ ___ ______ _________.
_________ __________ ________ ________ _______ _______ _____ _________ _______.
________ _________ __________ _______ _____ ______ ______ _____ _______.
_______ ____ ___ ________ ___ _________ __________ _________ ___ ______ ________.
_________ _______ ___ ____ _________.
____ __________ _______ _______ ___ ________ _________ _____ ____ _________ ________.
_____ _______ _______ _________ _________ __________ ___ _________.
_______ _________ ________ _____ __________ ___.
_____ _______ _________ _________ _________ ____ ________ ______.
________ ____ ______ ___ ___ ________ _______.
__________ ____ __________ _____ __________ ____.
__________ ____ ______ _______ _________ ____.
_______ ___ _____ _________ _________ _______ ________ _____ ____ __________.
_____ _______ _____ _____ ______ _______ ____ _____ ___ __________ ____ ____.
_______ __________ _______ _______ __________ __________ _______ ________ ________ ___ ___.
_____ _________ ___ ___ ___ ____.
______ ____ ______ ___ ________.
____ ______ ________ _______ ________ ___ __________ ________ ______ ________ _______ __________.
______ ______ ____ _______ _________ _________ ___ _____ _________ ____ ___.
_______ __________ ____ ________ _____ __________.
_________ ____ ________ __________ ______ _____.
_________ ___ _____ _______ ______.
________ _________ __________ _____ ____ _____.
____ ___ _________ ______ ______ _____ __________ ___ ___ _______ _________.
_______ _________ ____ _________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★