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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, a student takes a right triangle with one side of length 1 unit and the other perpendicular side also 1 unit. What is the length of its hypotenuse?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhy is one side of each new right triangle kept 1 unit long while constructing a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, which of the following lengths represents an irrational number?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhile constructing a square root spiral, how is each new right-angled triangle formed using the hypotenuse of the previous triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsHow is \(\sqrt{2}\) represented in a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhile constructing a square root spiral, a student draws the new side in the same direction from the endpoint of the previous hypotenuse. How should the new unit-length side be drawn to keep the spiral correct?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhile constructing a square root spiral, each new right triangle is drawn on the hypotenuse of the previous triangle. If at one stage the hypotenuse is \(\sqrt{10}\) and the new perpendicular side is 1 unit, what will be the hypotenuse of the new triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, where is the new line segment of length 1 drawn to form the next triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn constructing a square root spiral, which rule is followed to form each new right triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn constructing a square root spiral, one side of each new right triangle is the previous hypotenuse. What length is taken for the other perpendicular side?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral made by constructing successive right triangles with unit-length sides, which of the following lengths can be represented by a line segment?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhile constructing a square root spiral, which side is kept constant to form each new right-angled triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, what does \(\sqrt{n}\) represent?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhy is each new unit-length segment drawn perpendicular to the previous hypotenuse in a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhat is the purpose of adding a perpendicular side of length 1 unit to the hypotenuse of the previous triangle in a square root spiral?Class 9Number SystemsSquare root spiralLevel 24Easy 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 spiralLevel 24Easy MathematicsIn a square root spiral, what should be done in the next step from the point representing \(\sqrt{6}\) to obtain \(\sqrt{7}\)?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsIn a square root spiral, which side is added to the previous hypotenuse to construct each new right triangle?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsWhich tool is useful to place the length obtained from a square root spiral on the number line?Class 9Number SystemsSquare root spiralLevel 24Easy MathematicsReema has drawn a square root spiral up to \(\sqrt{10}\). She says that to construct \(\sqrt{11}\), a new line segment of length 1 should be drawn parallel to the previous hypotenuse from its endpoint. Why is her statement incorrect?Class 9Number SystemsSquare root spiralLevel 24Easy