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Algebraic Reasoning

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

MathematicsIn the model of \(x^2+2xy+y^2\), if \(y\) is drawn very small, which conclusion still remains correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesMediumMathematicsIf (S_n=2145), what will be the value of (S_{2n}-S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersExpertMathematicsIf (S_n-S_{n-2}=199), what will be the value of (S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersExpertMathematicsThe value of Sₙ − S₍ₙ₋₁₎ + S₍ₙ₋₄₎ − S₍ₙ₋₅₎ is 150. What is n, where Sₖ = 1 + 2 + ⋯ + k?Class 9Sequences and ProgressionsSum of first n natural numbersMediumMathematicsIf (S_n=4560), what is the value of (S_{n+5}-S_n)?Class 9Sequences and ProgressionsSum of first n natural numbersHardMathematicsIf (S_n=2850), what will be the value of (S_{n-5})?Class 9Sequences and ProgressionsSum of first n natural numbersMediumMathematicsLet \(S_n\) denote the sum of the first n natural numbers. Which number does \(S_n-S_{n-1}\) represent?Class 9Sequences and ProgressionsSum of first n natural numbersMediumMathematicsFor the sum \(S_n\) of the first \(n\) natural numbers, what does \(S_n-S_{n-1}\) represent when \(n\geq 2\)?Class 9Sequences and ProgressionsSum of first n natural numbersEasyMathematicsIf three non-zero real numbers \(x, y, z\) are in geometric progression in this order, which of the following condition is necessary and sufficient?Class 9Sequences and ProgressionsGeometric ProgressionHardMathematicsThree non-zero numbers \(p, q, r\), in this order, form a geometric progression if which condition is true?Class 9Sequences and ProgressionsGeometric ProgressionHardMathematicsIf the terms at two distinct positions in an arithmetic progression are equal, which conclusion is necessary?Class 9Sequences and ProgressionsArithmetic ProgressionHardMathematicsIf (P(t)=90+8t), (P(7)+P(19)) is equal to twice which (P(k))?Class 9Introduction to PolynomialsLinear growth and decayExpertMathematicsIf (A(t)=90-4t) and (B(t)=30+2t), when will (A(t)) be (12) more than (B(t))?Class 9Introduction to PolynomialsLinear growth and decayHardMathematicsIf (p(x)=mx+n) and (p(-5)=p(3)), when can (p(x)) be linear?Class 9Introduction to PolynomialsLinear polynomialsExpertMathematicsIf (p(x)=7x+c) and (p(6)=p(2)+28), what is correct about (c)?Class 9Introduction to PolynomialsLinear polynomialsExpertMathematicsIf the degree of 2x^m + 7x^4 − 5 is 4 and m < 4, which value of m is possible?Class 9Introduction to PolynomialsDegree of a PolynomialMediumMathematicsSuppose \(x\) is irrational and \(x+y\) is rational. Which conclusion about \(y\) must be true?Class 9Number SystemsIrrational numbersExpertMathematicsIf someone writes (a=2b) from (a^2=2b^2), what is the correct correction?Class 9Number SystemsProof of irrationality of square root 2 and square root 3ExpertMathematicsWhich option shows a wrong shortcut in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3HardMathematicsSuppose \(r=\sqrt{2}+\sqrt{3}\) is a rational number. Which conclusion from this assumption proves by contradiction that \(\sqrt{2}+\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Hard

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