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Irrational Numbers

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, what length is assigned to the new side drawn perpendicular to the previous hypotenuse in each right triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsA student adds nine new right triangles, each with one unit as the new perpendicular side, after starting a square root spiral of unit length to represent \(\sqrt{10}\). Is the method correct?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhich rule correctly describes the construction of each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, what form do the lengths of the successive hypotenuses take?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, what is the length of the new perpendicular side in each new triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhich line segment is drawn first in a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhich principle is generally used to determine the length of a new side in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, the line segment representing \(\sqrt{5}\) is the hypotenuse of which type of triangle?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, point P is at a distance \(\sqrt{10}\) from the origin and point Q is at a distance \(\sqrt{11}\). A student says that P is farther because 10 is smaller. What is the correct conclusion?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhich property is used to construct each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhile constructing a square root spiral, a student takes the previous hypotenuse as one side and 1 unit as the other side of each new right triangle. If the previous hypotenuse is \(\sqrt{5}\) units, what will be the length of the new hypotenuse?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsWhy does the figure in a square root spiral look like a spiral?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn a square root spiral, what type of number does \(\sqrt{10}\) represent?Class 9Number SystemsSquare root spiralLevel 23Easy MathematicsIn constructing a square root spiral, how is each new right triangle connected to the previous triangle?Class 9Number SystemsSquare root spiralLevel 23Easy 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 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 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 MathematicsHow is each new right triangle constructed in a square root spiral?Class 9Number SystemsSquare root spiralLevel 23Easy