If 3√3x3 – 2√2y3 = (x √3 – y √2)(Ax2 + By2 + Cxy) then the value of (A × B) ÷ C is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. √6
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Concept |
Understanding |
Application |
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Comparing the coefficients of variables |
Expand the equation |
3√3x3– 2√2y3 = (x √3 – y √2)(Ax2+ By2 + Cxy) ⇒3√3x3 - 2√2 y3 = √3Ax3 + √3Bxy2 + √3Cx2y - √2Ax2y - √2By3 - √2Cxy2 |
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Comparing the coefficient: A = 3 and B = 2 √3C – √2A = 0 ⇒ C = √6 Hence, (A × B) ÷ C = (3 × 2) ÷ √6 = 6/√6 = √6 |