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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।

MathematicsWhile constructing a square root spiral, Reena makes each new right triangle with one leg of 1 unit and the other leg equal to the previous hypotenuse. If the previous hypotenuse is \(\sqrt{7}\) units, what is the length of the new hypotenuse?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsTo make √32 in a square root spiral, which hypotenuse is used immediately before it?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, which feature of each new right triangle makes it represent the square root of the next natural number?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhy does (\sqrt{n}) become (\sqrt{n+1}) after adding a (1) unit perpendicular in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy 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 spiralLevel 23Easy MathematicsWhich of the following irrational numbers can be represented by a line segment using a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhile drawing a square root spiral, a student adds a perpendicular side at the end of the previous hypotenuse in each new right triangle. What should be the length of this new perpendicular side to extend the spiral up to \(\sqrt{10}\)?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhich statement is correct for a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhat is used to place the length from a square root spiral on the number line?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsJust before making (\sqrt{30}) in a square root spiral, which hypotenuse will be present?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsHow is each new right triangle constructed in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, what length of side is added perpendicular to the hypotenuse of the previous triangle to form each new right triangle?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhich length in a square root spiral is usually irrational?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, with which property is each new right-angled triangle constructed?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhich previous hypotenuse is used to make √21 in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Medium MathematicsWhile constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the current hypotenuse in every new step. What is the correct mathematical reason for this?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIf the 1-unit perpendicular side in a square root spiral is changed to 2 units, why will the usual sequence change?Class 9Number SystemsSquare root spiralLevel 23Medium MathematicsWhich is the correct calculation to make (\sqrt{3}) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhich is the correct calculation to make √2 in a square-root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, the point representing which number will lie between 3 and 4 on the number line?Class 9Number SystemsSquare root spiralLevel 23Easy