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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।

MathematicsIf the new hypotenuse obtained at a step is (\sqrt{42}), which was the immediately previous hypotenuse?Class 9Number SystemsSquare root spiralLevel 21Expert MathematicsIn a square root spiral, if OP = √35 and the new segment PQ = 1 is perpendicular to the previous hypotenuse, what is the length of OQ?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhat is the main educational use of the square root spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf the spiral is constructed up to √32, which hypotenuse was formed just before the final step?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhich cannot be the direct first hypotenuse in a standard square root spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf a spiral starts from (\sqrt{1}) and goes up to (\sqrt{n}), how many right triangles are constructed?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhich option gives the correct Pythagoras relation for (\sqrt{6})?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf the actual length of the hypotenuse (\sqrt{5}) is approximately (2.236), how will its exact length be written in the spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf (\sqrt{2}), then (\sqrt{3}), and then (\sqrt{4}) are formed, what type of increase does this show?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhat is the main advantage of treating (OA=1) as (\sqrt{1}) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf (OQ^2-OP^2=1) and (PQ=1), what type of angle is between (OP) and (PQ)?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhich hypotenuse obtained from the square root spiral represents an irrational number?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf a student obtains (\sqrt{18}) by drawing a parallel segment of (1) unit on (\sqrt{17}), what is the mistake?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhich option shows an incorrect construction in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf (OP=\sqrt{30}) and (OQ=\sqrt{31}) are consecutive hypotenuses, what is (PQ) equal to?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsAt which step is a hypotenuse of length 3 units obtained for the first time?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsIf (\sqrt{16}) is constructed on the spiral, what is its actual numerical value?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsHow many new perpendicular segments of (1) unit are drawn to construct up to (\sqrt{27}), if (OA=1) is the initial segment?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhich option shows the correct initial sequence of lengths in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Expert MathematicsWhat is the difference between the squares of the hypotenuses (\sqrt{2}) and (\sqrt{3}) in the spiral?Class 9Number SystemsSquare root spiralLevel 20Expert