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Class 9 Mathematics

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersExpert MathematicsA student says that the decimal expansion of \(\frac{77}{600}\) will terminate because it is a rational number. Which is the correct analysis of the student's error?Class 9Number SystemsDecimal representationExpert MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following calculations gives a counterexample to the claim?Class 9Number SystemsIrrational numbersExpert MathematicsWhen \(\sqrt{1369}\) is formed from \(\sqrt{1368}\) in a square root spiral, at what value will the new hypotenuse be?Class 9Number SystemsSquare root spiralHard MathematicsWhich inequality is correct to identify the position of \(\sqrt{675}\) in a square root spiral?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the hypotenuse formed after \(\sqrt{1848}\) will be located at which special value?Class 9Number SystemsSquare root spiralHard MathematicsWhile identifying the interval of \(\sqrt{1368}\) in a square root spiral, which conclusion is correct?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, which hypotenuse is formed by drawing a (1) unit perpendicular on \(\sqrt{1599}\)?Class 9Number SystemsSquare root spiralHard MathematicsWhen \(\sqrt{729}\) is formed from \(\sqrt{728}\) in a square root spiral, at what value will the new hypotenuse be?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, which hypotenuse is formed by drawing a (1) unit perpendicular on \(\sqrt{399}\)?Class 9Number SystemsSquare root spiralHard MathematicsWhen \(\sqrt{225}\) is formed from \(\sqrt{224}\) in a square root spiral, at what value will the new hypotenuse be?Class 9Number SystemsSquare root spiralHard MathematicsIn constructing a square root spiral, each new triangle is formed by adding a side of length 1 unit perpendicular to the hypotenuse of the previous triangle. What is the hypotenuse of the new triangle?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, the length of the segment drawn from the origin to an outer vertex is \(\sqrt{n}\). For which type of \(n\) will this length be a rational number?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, what type of number is represented by the point for \(\sqrt{17}\)?Class 9Number SystemsSquare root spiralMedium MathematicsWhich construction method is correct for forming each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, which of the following lengths represents an irrational number?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what length of new side is added to the hypotenuse of the previous triangle to form each new right-angled triangle?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what type of number does \(\sqrt{10}\) represent?Class 9Number SystemsSquare root spiralEasy MathematicsIn a square root spiral, what type of number is represented by a point whose distance from the origin is \(\sqrt{17}\)?Class 9Number SystemsSquare root spiralEasy MathematicsWhich of the following irrational numbers can be represented by a line segment using a square root spiral?Class 9Number SystemsSquare root spiralEasy