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Number Systems

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

MathematicsAt which step does the new hypotenuse become equal to \(2\sqrt{3}\)?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf (OP_n=\sqrt{n}), what is the difference between the squares of (OP_{n+3}) and (OP_n)?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIn the triangle that constructs ( \sqrt{15} ) in the square root spiral, what are the old radius and the new side?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf the old radius of a triangle is ( \sqrt{35} ), between which two integers will the new hypotenuse lie?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsWhat is the simplified form of the distance √50 in the square-root spiral?Class 9Number SystemsSquare root spiralLevel 22Easy MathematicsWhich option gives the correct order of the first four hypotenuse lengths in the square root spiral?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf ( \sqrt{30} ) has been constructed in the square root spiral, what will be the new hypotenuse in the immediate next construction?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsWhich triangle is formed while constructing √3 from √2 in the square-root spiral?Class 9Number SystemsSquare root spiralLevel 22Medium MathematicsA student wrote the next hypotenuse after √6 as √6 + 1. What is the correct correction?Class 9Number SystemsSquare root spiralLevel 22Medium MathematicsIf a unit perpendicular is added to the radius \( \sqrt{24} \), the new hypotenuse will be closest to which integer?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsWhy is the square root spiral considered useful for representing irrational numbers on the number line?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIn the square root spiral, the point ( \sqrt{16} ) lies at which integer distance?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf the spiral is constructed up to \( \sqrt{27} \), in which interval will the final distance from the origin lie?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsWhile constructing √3 and √4 in a square-root spiral, what feature remains common?Class 9Number SystemsSquare root spiralLevel 22Medium MathematicsIf the triangle at the ( \sqrt{12} ) step is formed by ( \sqrt{11} ) and (1), which is its hypotenuse?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsA student says that in a square-root spiral, each new radius is obtained by directly adding 1 to the previous radius. What is the correct evaluation of this statement?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIn the square root spiral, which hypotenuse is already formed just before constructing ( \sqrt{18} )?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsUp to which point will the spiral have (11) radius-points if it starts from ( \sqrt{1} )?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIf a unit perpendicular is added to the radius \( \sqrt{14} \) to form a new hypotenuse, what is the ratio of the squares of the new and old hypotenuses?Class 9Number SystemsSquare root spiralLevel 22Expert MathematicsIn the square root spiral, what is the difference between the squares of two consecutive radii forming \( \sqrt{20} \) and \( \sqrt{21} \)?Class 9Number SystemsSquare root spiralLevel 22Expert