Geometry, Algebra and Number system form the major chunk of our QA section for CAT.
Proficiency in these three sections would definitely boost our Quants scores.
Contents of Geometry
1. Plane Geometry - Basics and Triangles
2. Polygons and Quadrilaterals
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The figure given below shows a triangle ABC that circumscribes a circle of radius 3 cm. D is the point of contact of the circle with the side AB. AD = 4 cm and BD = 6 cm. What is the ratio of AC to BC?
x is factor of 17 let it be 17m
y is factor of 13.let it be 13m
30m+z=180...we know z<90...180-30m <90....6-m<3..m>3 and m<6(because 17*6=102)...try m=4,5
m=4...angles are 68,52,60
answer should be 30
area of trapezium (debc)=1/2 (de +bc) *h
de would be half of bc since it would be joining midpoints of ab & ac
so we get h=(6sqrt5)/5
now are of triangle = 1/2 * 2h * bc
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this will form a square of side 2sqrt(2) x|+y<=1
this will form a square of side sqrt(2) subtract both the areas .
required area = 8 - 2 = 6
Find the area enclosed by the region in square units described by x+|y|>=1 and |x|+y<=2.