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Pythagoras Theorem

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is common in the construction of \(\sqrt{2}\) and \(\sqrt{3}\) in a square root spiral?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 MathematicsIn a square root spiral, what is the distance of the point representing \(\sqrt{n}\) from the origin?Class 9Number SystemsSquare root spiralMedium MathematicsWhile observing a square root spiral, Riya says, “The length of each new hypotenuse is exactly 1 unit more than the previous hypotenuse.” What is the correct evaluation of Riya’s statement?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, a student drew a perpendicular of length 1 unit on the hypotenuse \(\sqrt{7}\). The student claims that the new hypotenuse will be \(\sqrt{6}\), not \(\sqrt{8}\). What is the correct evaluation of the student's claim?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, a student adds a perpendicular side of 1 unit at the end of the side \(\sqrt{5}\) and calls the new hypotenuse \(\sqrt{10}\). What is the correct correction?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 MathematicsIn a square root spiral, which two sides are placed at right angles to form the next right triangle?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, where \(n\ge 2\), how is the segment of length \(\sqrt{n}\) formed?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, which hypotenuse will come after \(\sqrt{99}\)?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 MathematicsWhich of the following statements correctly describes the construction of a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhat is the correct rule for constructing each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, which side does each new right-angled triangle share with the preceding triangle?Class 9Number SystemsSquare root spiralMedium MathematicsA student says that to represent \(\sqrt{17}\) on a square root spiral, a perpendicular side of length 4 units should be drawn because \(17-1=16\). Why is this statement incorrect?Class 9Number SystemsSquare root spiralEasy 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 spiralEasy MathematicsWhy is one side of each new right triangle kept 1 unit long while constructing a square root spiral?Class 9Number SystemsSquare root spiralEasy 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 spiralEasy MathematicsHow is \(\sqrt{2}\) represented in a square root spiral?Class 9Number SystemsSquare root spiralEasy