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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।

MathematicsA side of a square is divided into two parts, x and y. The visual model contains one square of area x², one square of area y², and two rectangles each of area xy. Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIf a rectangle model represents ((x-6)(x+2)), what is the sign and value of the combined (x)-term?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA square visual model is divided into one large square, one small square, and two rectangles of equal area. If the areas of these parts are \(a^2\), \(b^2\), and \(ab,ab\) respectively, which algebraic identity does the model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a square visual model, each side is divided into two parts, \(p\) and \(q\). The four regions have areas \(p^2\), \(pq\), \(pq\), and \(q^2\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA square has side \(p+q\). It is divided into one square of area \(p^2\), one square of area \(q^2\), and two equal rectangles of area \(pq\) each. Which identity does this visual model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a rectangular area model, the length is \(x+y\) and the breadth is \(x-y\), where \(x>y\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA square visual model is divided into four regions: one square of area \(a^2\), another square of area \(b^2\), and two congruent rectangles each of area \(ab\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA rectangle model represents ((3x+2)(x+5)). What is the combined sum of the (x)-terms in the four parts?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a visual model of the algebraic identity \((a+b)^2=a^2+2ab+b^2\), how is the \(2ab\) part usually represented?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA rectangle model has area (x^2+9x+20) and the small corner area is (20). Which sides are possible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a visual model, two strips of width \(b\) are removed from a square of side \(a\). When the common \(b\times b\) corner is added back once, which identity is represented, where \(a>b\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a square tile model, one \(x^2\) tile, two \(xy\) rectangular tiles, and one \(y^2\) tile together represent which algebraic identity?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsThe outer side of a square is (3a-2b). Based on the visual model, what will be the middle term?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA square model shows four parts (4x^2), (6xy), (6xy), and (9y^2). What will be the outer side?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a visual proof, ( (a+b)(c+d) ) is divided into four small rectangles. Which decomposition is correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a rectangle model, (x+2) and (x+5) are replaced by (x+3) and (x+4). What is the difference between the two areas?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a square model of side a + b, if a² + b² is placed near the diagonal, what is the total area of the remaining two parts?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsIf a model is made for a square of side (3a-2b), which final expansion is correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a square area model, a large square is divided into four parts: one region has area \(x^2\), two equal rectangles each have area \(xy\), and one small square has area \(y^2\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIf a square model of (x+12) gives \(x^2\) and a corner (144), which part will complete the model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert