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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 student writes that \(x^2-16=(x-4)^2\). Which option correctly fixes the error in the factorisation?Class 9Exploring Algebraic IdentitiesFactorisationLevel 72Medium MathematicsRavi factorised \(x^2-16\) as \((x-4)^2\). Which is the correct factorisation that fixes his error?Class 9Exploring Algebraic IdentitiesFactorisationLevel 72Medium MathematicsRiya wrote that \(x^2-49=(x-7)^2\). Which is the correct factorisation of \(x^2-49\) to correct her error?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich visual model can catch the mistake that ((x+5)^2) is not (x^2+25)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Hard MathematicsA student wrote the middle term (6x) in the model of ( (2x+3)^2 ). What is the correct visual correction?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsIf in a square model the (36) corner is added with an (x^2) tile but without adding two equal rectangles, why will a complete square not form?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Hard MathematicsIn a square of side (a+b), if the two (ab) rectangles are mistakenly counted only once, what area will be written?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Hard Mathematics( (x+y+z)^2-(x+y-z)^2=40z ). If (x+y=5), why is this correct?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsWhy can ( (4x+y)^2-(4x-y)^2 ) be written equal to (32xy)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsIf ( (3m+n)^2-(3m-n)^2=48mn ), what is (m) for (n\neq0)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsA student claims that \(1003^2=1000^2+3^2=1000009\). What is the correct value of \(1003^2\) when the algebraic identity is applied correctly?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 62Expert MathematicsA student claims that if \(a+b+c=12\) and \(ab+bc+ca=35\), then \(a^2+b^2+c^2=74\). Which option about the student’s claim is correct?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Hard MathematicsA student writes the nth term of the arithmetic progression 18, 14, 10, ... as \(18-4n\). Which expression correctly fixes the error?Class 9Sequences and Progressionsnth termLevel 56Medium MathematicsA plant produces 160 units on the first day, and on each following day its production becomes \(\frac{3}{2}\) times that of the previous day. A student states that the total production for the first four days is 1120 because 160 units were added each day. Which conclusion is correct?Class 9Sequences and ProgressionsGeometric ProgressionLevel 54Hard MathematicsThe first term of an arithmetic progression is 7 and its common difference is 4. A student says that its 10th term is 43 because 4 must be added 10 times. Which option is correct about the student's statement?Class 9Sequences and ProgressionsArithmetic ProgressionLevel 51Medium MathematicsThe numbers of tiles in successive rows of a staircase are 4, 7, 10, 13, .... Reena says that 18 is also a term of this sequence. Which option correctly evaluates her statement?Class 9Sequences and ProgressionsSequencesLevel 45Easy MathematicsA student says that the y-intercept of the line \(y=3x-5\) is \(3\) because \(3\) is the coefficient of \(x\). Identify the student's error.Class 9Introduction to PolynomialsSlope and y-interceptLevel 40Expert MathematicsWhile drawing the graph of y = -2x + 6, a student says that the line rises by 2 units as we move to the right. Which is the correct correction of the student's error?Class 9Introduction to PolynomialsSlope and y-interceptLevel 38Expert MathematicsA student says that for the line passing through ",Class 9Introduction to PolynomialsSlope and y-interceptLevel 41Hard MathematicsA line passes through the points (0,-3) and (4,5). Ravi says that its y-intercept is 5 because the y-coordinate of the second point is 5. Which is the correct evaluation of Ravi's statement?Class 9Introduction to PolynomialsSlope and y-interceptLevel 40Hard