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Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions

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Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
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In a parallelogram RING, if m∠R = 70°, find all the other angles.
[3] Understanding Quadrilaterals
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In the trapezium ABCD, the measure of ∠D is ______.

[3] Understanding Quadrilaterals
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If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are ______.

[3] Understanding Quadrilaterals
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Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are ______.

[3] Understanding Quadrilaterals
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Adjacent angles of a parallelogram are ______.

[3] Understanding Quadrilaterals
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Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.

[3] Understanding Quadrilaterals
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The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram.

[3] Understanding Quadrilaterals
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In parallelogram ABCD, find ∠B, ∠C and ∠D.

[3] Understanding Quadrilaterals
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Draw a circle of radius 3 cm and draw its diameter and label it as AC. Construct its perpendicular bisector and let it intersect the circle at B and D. What type of quadrilateral is ABCD? Justify your answer.

[3] Understanding Quadrilaterals
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Square of 3x – 4y is ______.

[8] Algebraic Expressions and Identities
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a2 – b2 is equal to ______.

[8] Algebraic Expressions and Identities
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Square of 9x – 7xy is ______.

[8] Algebraic Expressions and Identities
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(a – b) ______ = a2 – 2ab + b2 

[8] Algebraic Expressions and Identities
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(a – b)2 + ______ = a2 – b2 

[8] Algebraic Expressions and Identities
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Factorised form of 4y2 – 12y + 9 is ______.

[8] Algebraic Expressions and Identities
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1032 – 1022 = ______ × (103 – 102) = ______.

[8] Algebraic Expressions and Identities
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(a – b)2 = a2 – b2 

[8] Algebraic Expressions and Identities
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Using suitable identities, evaluate the following.

(9.9)2 

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
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Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.

x2 – 8x + 16

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
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