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

MathematicsWhile identifying the interval of (\sqrt{195}) in a square root spiral, which mistake is most likely?Class 9Number SystemsSquare root spiralLevel 19Hard MathematicsWhile constructing a square root spiral, a student says that \(\sqrt{26}\) should be shown at the point 5 because 26 is very close to 25. What is the correct correction of this error?Class 9Number SystemsSquare root spiralLevel 19Hard 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 spiralLevel 19Hard MathematicsWhile constructing the next triangle after \(\sqrt{7}\) in a square root spiral, a student takes the other perpendicular side as \(\sqrt{7}\) units. Which statement correctly fixes the error?Class 9Number SystemsSquare root spiralLevel 21Medium MathematicsWhile constructing a square root spiral, a student uses 2 cm instead of 1 cm as the perpendicular side of every new right triangle. Which conclusion about the figure is correct?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile locating \(\sqrt{10}\) on the number line using a square root spiral, a student says it will be to the right of 4 because 10 is greater than 4. What is the correct correction to this error?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile constructing a square root spiral, a student says that the point for \(\sqrt{10}\) will be 10 units away from the origin. What is the correct correction to this error?Class 9Number SystemsSquare root spiralLevel 20Medium 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 spiralLevel 20Medium 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 spiralLevel 19Medium 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 MathematicsWhy is writing (p=3q) from (p^2=3q^2) unacceptable in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsA student assumes that \(\sqrt{2}=\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\ne0\), and concludes from \(p^2=2q^2\) that both \(p\) and \(q\) are even. If the student did not assume \(p\) and \(q\) to be coprime, why is this conclusion not automatically a contradiction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Expert MathematicsWhy is it incomplete to write (b) divisible by (3) directly from (a^2=3b^2) in the proof of (\sqrt{3})?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Hard MathematicsA student claims that \(\sqrt{12}\) is rational because 12 is not a perfect square. Which is the correct simplified form of \(\sqrt{12}\) that identifies the error in the claim?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Hard MathematicsIn the proof of √3, what kind of step is it to write directly that v is divisible by 3 from u² = 3v²?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Hard MathematicsIn the proof of (\sqrt{3}), if someone writes directly from (p^2=3q^2) that (q) is divisible by (3), which analysis is correct?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), why is it incomplete to write directly from (p^2=3q^2) that (q) is divisible by (3)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), if a student directly writes from (p^2=3q^2) that (q) is divisible by (3), what is the correct comment?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsIn the proof of (\sqrt{2}), if a student writes directly from (m^2=2n^2) that (n) is even, what is the correct comment?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student says that \(4+\sqrt{3}\) is a rational number because 4 is rational. Which statement correctly explains the error?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium