हिंदी

If x^2 + y^2 = 4xy, then x : y is ______.

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प्रश्न

If x2 + y2 = 4xy, then x : y is ______.

विकल्प

  • 1 : 1

  • 1 : 2

  • 1 : 4

  • 2 : 1

MCQ
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उत्तर

If x2 + y2 = 4xy, then x : y is 2 : 1.

Explanation:

Dividing by y2 and setting `t = x/y` gives t2 – 4t + 1 = 0, so `t = 2 ± sqrt(3)`. Neither resulting ratio is listed; therefore, none of the given options is correct.

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अध्याय 7: Ratio and Proportion - COMPETENCY-FOCUSED QUESTIONS [पृष्ठ ११५]

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 7 Ratio and Proportion
COMPETENCY-FOCUSED QUESTIONS | Q 27. | पृष्ठ ११५
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