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At which points do the graphs of y = 1/x and y = x intersect?y = 1/x और y = x के ग्राफ किन बिंदुओं पर प्रतिच्छेद करते हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1, 1) and (−1, −1)(1, 1) और (−1, −1)
At an intersection, both functions have the same y-value, so 1/x = x, with x ≠ 0. Hence x² = 1, giving x = 1 or x = −1. Since y = x, the intersection points are (1, 1) and (−1, −1).प्रतिच्छेद बिंदु पर दोनों फलनों के y-मान समान होते हैं, इसलिए 1/x = x, जहाँ x ≠ 0। अतः x² = 1, जिससे x = 1 या x = −1 मिलता है। चूँकि y = x है, प्रतिच्छेद बिंदु (1, 1) और (−1, −1) हैं।
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