The MAH MBA CET (Maharashtra MBA Common Entrance Test) is a state-level entrance exam for admission to MBA/MMS programs in Maharashtra. While the exam primarily focuses on Quantitative Aptitude, Logical Reasoning, Abstract Reasoning, and Verbal Ability/Reading Comprehension, geometry is a part of the Quantitative Aptitude section.
Here is a breakdown of the geometry topics you should prepare for the MAH MBA CET:
Key Geometry Topics for MAH MBA CET
Lines and Angles
– Types of angles (acute, obtuse, right, straight, and reflex).
– Properties of parallel lines and transversals.
– Angle sum property of triangles and quadrilaterals.
Triangles
– Types of triangles (scalene, isosceles, and equilateral).
– Properties of triangles (Pythagoras theorem, similarity, congruence).
– Area of triangles (using base, height, Heron’s formula).
– Centroid, circumcentre, orthocentre, and incentre.
Quadrilaterals
– Properties of squares, rectangles, parallelograms, rhombuses, and trapeziums.
– Area and perimeter formulas for quadrilaterals.
Circles
– Basic properties (radius, diameter, chord, tangent, secant).
– Circumference and area of a circle.
– Arc length and sector area.
– Properties of intersecting chords and tangents.
Polygons
– Regular polygons (equilateral and equiangular).
– Sum of interior and exterior angles.
– Area and perimeter of regular polygons.
Mensuration (2D and 3D Shapes)
– Area and perimeter of 2D shapes (square, rectangle, circle, triangle, etc.).
– Volume and surface area of 3D shapes (cube, cuboid, cylinder, cone, sphere).
Coordinate Geometry
– Distance between two points.
– Slope of a line.
– Equations of lines (slope-intercept form, point-slope form).
– Midpoint formula.
Trigonometry Basics
– Trigonometric ratios (sin, cos, tan, cosec, sec, cot).
– Applications of trigonometry in solving geometry problems.
Important Formulas
Triangle
– Area = ½ * base * height
– Heron’s formula: Area =√s (s-a) * (s-b) * (s-c), where s = ½ * (a+b+c)
Circle
– Circumference = 2Ï€r
– Area = Ï€r^2
Rectangle
– Perimeter = 2(l + b)
– Area = l * b
Cube
– Volume = a^3
– Surface area = 6a^2
Sphere
– Volume = 4/3 * Ï€r^3
– Surface area = 4Ï€r^2
Coordinate Geometry
– Distance between two points (x1, y1) and (x2, y2):
Distance = √ {(x2 – x1) ^2 + (y2 – y1) ^2}
– Midpoint formula:
(x1 + x2) / 2, (y1 + y2) / 2
Tips for Geometry Preparation
1. Understand Concepts: Focus on understanding the properties and theorems rather than rote learning.
2. Practice Problems: Solve geometry problems from previous year’s papers and mock tests.
3. Visualize Shapes: Draw diagrams to visualize problems, especially for triangles, circles, and coordinate geometry.
4. Memorize Formulas: Keep a list of important formulas handy and revise them regularly.
5. Time Management: Practice solving geometry questions within a time limit to improve speed and accuracy.
Sample Questions
Triangle: Find the area of a triangle with sides 5 cm, 12 cm, and 13 cm.
– Solution: It is a right-angled triangle since 5^2 + 12^2 = 13^2. Area = 1/ 2 * 5 * 12 = 30 sqcm.
Circle: If the radius of a circle is 7 cm, find its circumference and area.
– Solution: Circumference = 2Ï€r = 2 * 22/ 7 * 7 = 44cm. Area = Ï€r^2 = 22/ 7 * 7 7 = 154 sqcm.
Coordinate Geometry: Find the distance between points (3, 4) and (7, 1).
– Solution: Distance = √ {(7-3) ^2 + (1-4) ^2} = √ (16 + 9) = √25 = 5.
By focusing on these topics and practicing regularly, you can score well in the geometry section of the MAH MBA CET. Good luck!
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