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# Maths, IX A, B, C, D

1. Express the linear equation 2x=-5y in the form ax+by+c=0 and indicate the values of a, b, and c .

2.Check whether (2,0) is a solution of the equation x-2y=4.

1. If the point (3,4) lies on the graph of the equation 3y=ax+7, find the value of ‘a’.
2. Show that the diagonals of a square are equal and bisect each other at right angles.
3. ABCD is a trapezium in which AB||CD and AD=BC.

(Refer page no. 147 in text book , fig. 8.23)

Show that:-

<i> Angle A = Angle B

<ii> Angle C = Angle D

<iii> Triangle ABC = Triangle BAD

<iv> Diagonal AC = Diagonal BD

1. (Refer to page no. 163 in text book, fig. 9.27)

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that :-

<i> ar(ACB) = ar (ACF)

<ii> ar(AEDF) = ar(ABCDE)

7.Construct a Triangle ABC in which BC=7 cm, Angle B=75 degrees and AB+AC= 13 cm.

1. Construct a Triangle XYZ in which angle Y=30 degrees, Angle Z=90 degrees and XY+YZ+ZX=11 cm.

Date of submission: 4 January 2016