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At which values of x do the graphs of y = x² and y = |x| intersect?y = x² और y = |x| के ग्राफ़ किन x-मानों पर प्रतिच्छेद करते हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: x = −1, 0, 1x = −1, 0, 1
At an intersection, the y-values are equal, so x² = |x|. The value x = 0 is a solution. For x ≠ 0, divide by |x| to get |x| = 1, which gives x = −1 or x = 1. Therefore, the intersection x-values are −1, 0, and 1.प्रतिच्छेद बिंदु पर दोनों ग्राफ़ों के y-मान समान होते हैं, इसलिए x² = |x|। x = 0 एक हल है। x ≠ 0 होने पर |x| से भाग देने पर |x| = 1 मिलता है, जिससे x = −1 या x = 1 प्राप्त होता है। अतः प्रतिच्छेद के x-मान −1, 0 और 1 हैं।
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