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Geometric Construction

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 for constructing each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralExpert MathematicsIn a square root spiral, on what basis is the direction of every new 1-unit segment decided?Class 9Number SystemsSquare root spiralExpert 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 spiralHard 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 spiralHard MathematicsIn a standard square root spiral, which of the following lengths is not obtained as a radial segment?Class 9Number SystemsSquare root spiralHard MathematicsIn a square root spiral, how is the line segment representing \(\sqrt{n}\) obtained, where \(n\) is a positive integer?Class 9Number SystemsSquare root spiralHard MathematicsWhile constructing a square root spiral, a student drew a perpendicular of length 1 on the segment representing \(\sqrt{17}\) and labelled the new hypotenuse as \(\sqrt{19}\). What is the error in the student's reasoning?Class 9Number SystemsSquare root spiralHard MathematicsA student has constructed a square root spiral up to \(\sqrt{7}\) and says that \(\sqrt{8}\) cannot be constructed because 8 is not a perfect square. What is the correct next step to correct the error?Class 9Number SystemsSquare root spiralMedium MathematicsWhich construction feature is used to form each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhich construction is used to form the next right-angled triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsA student says that \(\sqrt{13}\) cannot be represented on a square root spiral because 13 is not a perfect square. Which construction correctly disproves the student’s claim?Class 9Number SystemsSquare root spiralMedium MathematicsWhich side pair is correct for constructing \(\sqrt{5}\) in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhich of the following statements is correct about the construction of a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, Aman draws every new unit-length side from the initial point. Which statement correctly fixes his error?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, Reema took the distance from the initial point to the point representing \(\sqrt{16}\), drew a perpendicular segment of length 1 unit there, and joined its new endpoint to the initial point. Which statement about her construction is correct?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, Aarav draws every new side of length 1 perpendicular to the initial line segment instead of the previous hypotenuse. What is the main error in his construction?Class 9Number SystemsSquare root spiralMedium MathematicsWhich construction method is correct for forming each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, a student draws each new 1-unit side perpendicular to the previous 1-unit segment instead of the previous hypotenuse. What is the main error in this method?Class 9Number SystemsSquare root spiralMedium MathematicsWhich construction rule is followed to form the next right triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhich statement correctly identifies the construction of a square root spiral?Class 9Number SystemsSquare root spiralMedium