Class 10 Maths - KARNATAKA
Constructions
The chapter 'Constructions' in Karnataka SSLC Class 10 Mathematics equips students with practical geometric drawing skills using a ruler and compass. This chapter focuses heavily on two main types of problems: dividing a line segment in a given ratio and constructing tangents to a circle from an external point. These topics are crucial for board exams because they test precise drawing and logical reasoning skills. Mastering these step-by-step constructions ensures you secure full marks in the geometry section of your SSLC mathematics question paper without complex calculations.
Start Learning FreeKey Concepts
Division of a Line Segment
Dividing a given line segment internally in a given ratio using basic proportionality theorem (Thales' theorem) by drawing a ray making an acute angle with the line segment.
Construction of Similar Triangles
Constructing a triangle similar to a given triangle with a scale factor either less than or greater than 1, using proportional side lengths.
Tangents to a Circle
Drawing one or more tangents to a circle from a point outside the circle by using the property that the radius is perpendicular to the tangent at the point of contact.
Constructing Tangents via Angle at Centre
Finding the angle between two radii drawn to the endpoints of tangents to construct tangents inclined at a specific angle to each other.
Important Formulas
Board Exam Info
In the Karnataka SSLC (KSEEB) Mathematics board exam, the chapter 'Constructions' typically carries around 4 to 5 marks. Questions are usually direct and predictable, featuring a mandatory 4-mark or 3-mark long-answer question requiring you to either construct a pair of tangents to a circle or construct a similar triangle.
Frequently Asked Questions
Is it mandatory to write steps of construction in the SSLC exam?
Yes, writing brief and clear steps of construction is recommended as it helps the examiner understand your method and ensures you get full marks even if there is a minor error in the drawing.
Can I use a pen for constructions?
No, all geometric constructions must be done using a sharp pencil, a scale (ruler), and a compass. You can use a pen only for writing the labels and steps of construction.
What tools are allowed in the exam for constructions?
You are allowed to use a geometry box containing a ruler, a pair of compasses, a divider, set squares, and a protractor. A sharp pencil is compulsory.
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