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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।

MathematicsWhich statement is correct when comparing the next hypotenuse from (\sqrt{24}) and (\sqrt{26}) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhich statement about the number-line positions of \(\sqrt{170}\) and \(\sqrt{195}\) in a square root spiral is correct?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIn a square-root spiral, which is the correct usual construction order from √2 to √5?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIf the hypotenuse formed after \(\sqrt{n}\) in a square root spiral is (25), what is the value of (n)?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhich inequality is correct to identify the position of \(\sqrt{257}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsA student says that in a square root spiral, each new hypotenuse is exactly 1 unit longer than the previous hypotenuse. Which correction is correct?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhile constructing a square root spiral, Riya says that every new right triangle is congruent to the previous one because one side is taken as 1 unit each time. Which is the correct analysis of Riya’s error?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIf the (k)-th hypotenuse is considered (\sqrt{k}), which hypotenuse is (\sqrt{36}), and what is its value?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhat will be the exact value of the hypotenuse formed after √143 in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIn a square root spiral, if the distance from the origin at a stage is \(\sqrt{n}\), which construction correctly produces the next point?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhile constructing a square root spiral, Reema drew a 1-unit line parallel to the hypotenuse of the previous triangle to form the next triangle. What is the main error in her construction?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIf a \(3\) unit perpendicular is used instead of \(1\) unit in the usual square root spiral, what will be the hypotenuse formed from \(\sqrt{n}\)?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIf a student writes (\sqrt{18}+1=\sqrt{19}) to find the next hypotenuse, what is the correct correction?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsA student has constructed a square root spiral up to \(\sqrt{12}\). To obtain \(\sqrt{13}\), she draws a perpendicular of length 1 unit at the end of the last radius. Which conclusion is correct?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsIf the new hypotenuse in a square root spiral is equal to (14), which hypotenuse came immediately before it?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsWhich conclusion is correct for locating the point at a distance \(\sqrt{50}\) on the number line using a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Hard MathematicsAt hard level, which is the most precise summary of a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsWhat is the correct interval for (\sqrt{960}) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsIn a standard square root spiral, which of the following lengths is not obtained as a radial segment?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsIn a square root spiral, point P corresponding to \(\sqrt{18}\) is marked. Riya says that P will lie between 4 and 5 units from the centre O. What is the correct evaluation of Riya's statement?Class 9Number SystemsSquare root spiralLevel 19Hard