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Algebraic Identity

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

MathematicsA rectangle model shows (x+2)(x−2). What is its simplified area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsWhich area model has the whole square (a^2) and the inner remaining square ((a-b)^2)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsWhich expansion is given by the area model of a square with side (a+2b)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsThe area of a rectangle with sides (a+b) and (a−b) is equal to what?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsIf x>y, which product represents the remaining area after a square of side y is removed from a square of side x?Class 9Exploring Algebraic IdentitiesVisual models of identitiesMedium MathematicsIn a square of side b+6, if b² is the large part, what is the total area of the two rectangles?Class 9Exploring Algebraic IdentitiesVisual models of identitiesMedium MathematicsA model has tiles x²+12x+36. Which shape does it most directly show?Class 9Exploring Algebraic IdentitiesVisual models of identitiesMedium MathematicsWhich expansion correctly represents the area of a square with side 5y − 1?Class 9Exploring Algebraic IdentitiesVisual models of identitiesMedium MathematicsIn a square area model, each side is divided into two parts, a and b. The areas of the resulting regions are a², ab, ab, and b². Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsWhich is the correct expansion in the area model of a square with side \(10-3\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsUsing a visual model, what is the area of a square with side \(10+2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsIf \(7\times9\) is viewed as \((8-1)(8+1)\) in a visual model, what is its value?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsIn the visual model of \((p+q)^2\), how many \(pq\) rectangles are formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsIn a diagram, two \(a\times b\) rectangles are subtracted from a large \(a\times a\) square and a \(b\times b\) square is added back. Which identity is formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsWhich square form represents ( x^2+18x+81 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy MathematicsWhich is the correct expansion of ( (a+b+c)^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy MathematicsWhat is the simplified form of ( (3x+2)(3x-2) )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy MathematicsIf \(S_n=1+2+3+\cdots+n\), which of the following expressions is an odd perfect square for every natural number \(n\)?Class 9Sequences and ProgressionsSum of first n natural numbersExpert MathematicsIf \(x, y, z\) are three consecutive terms of a geometric progression and \(x\neq0\) and \(y\neq0\), which is the necessary and sufficient condition for them?Class 9Sequences and ProgressionsGeometric ProgressionExpert MathematicsWhich of the following conditions is sufficient to identify a sequence with non-zero terms as a geometric progression?Class 9Sequences and ProgressionsGeometric ProgressionHard