STATEMENT - 1 (Assertion): If x^ 2 +9 y^ 2 +25 z^ 2 =x y z ( 15 x + 5 y + 3 z ) . then x…

Mathematics · JEE Main · NTA ExamsProgression and Series

STATEMENT - 1 (Assertion): If \(x^{2}+9 y^{2}+25 z^{2}=x y z\left(\frac{15}{x}+\frac{5}{y}+\frac{3}{z}\right) .\) then x, y, z are in HP.

STATEMENT - 2 (Reason): If \(a_{1}^{2}+a_{2}^{2}+\ldots+a_{n}^{2}=0\), then \(a_{1}=a_{2}=a_{3}=\ldots=a_{n}=0\).

  1. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
  2. Both assertion and Reason are true but Reason is not the correct explanation of Assertion
  3. Assertion is true and Reason is false
  4. Assertion is false and Reason is true

Answer

(C) Assertion is true and Reason is false

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