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Square Root Spiral

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

MathematicsIn a square-root spiral, what is the next hypotenuse after √143, and what is its value?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhich statement about \(\sqrt{26}\) and \(\sqrt{27}\) in a square root spiral is correct?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIf a (1) unit perpendicular is drawn on hypotenuse (\sqrt{48}) in a square root spiral, the new hypotenuse will be equal to which whole number?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIn a square root spiral, what length of new perpendicular is drawn to the previous hypotenuse to form each new right triangle?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhat is the correct number-line position of \(\sqrt{130}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhat is the correct reason for \(\sqrt{15}\) being formed from \(\sqrt{14}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhy will the usual sequence break if a (4) unit perpendicular is used instead of (1) unit in a square root spiral?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIn a square root spiral, in which interval will \(\sqrt{120}\) lie on the number line?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsTo construct (\sqrt{120}) in a square root spiral, on which previous hypotenuse will a (1) unit perpendicular be drawn?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhich statement about \(\sqrt{72}\) and \(\sqrt{81}\) in a square root spiral is correct?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhat is the main reason that the successive hypotenuses in a square root spiral have lengths \(\sqrt{2}, \sqrt{3}, \sqrt{4}\), and so on?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsA student constructs \(\sqrt{13}\) on a square root spiral by drawing a perpendicular segment of length 1 at the point for \(\sqrt{12}\) and joining its end to the origin. Why is this reasoning correct? What is the square of the new hypotenuse?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIn a square root spiral, in which interval will the length \(\sqrt{45}\) lie on the number line?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIf the new hypotenuse (\sqrt{35}) is formed in a square root spiral, which hypotenuse should come just before it?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsA student says, “The new hypotenuses in a square root spiral represent square roots of perfect squares only.” How should this statement be judged?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIn a square root spiral, if the previous hypotenuse is (\sqrt{18}), by which calculation will the new hypotenuse be obtained?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsIf a (1) unit perpendicular is drawn on hypotenuse (\sqrt{120}) in a square root spiral, what will be the new hypotenuse and in which interval will it lie?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsAt medium level, which is the most precise summary of a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsJust before constructing (\sqrt{255}) in a square root spiral, which hypotenuse will be present?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIn a square root spiral, what type of number is represented by the point for \(\sqrt{17}\)?Class 9Number SystemsSquare root spiralLevel 20Medium