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Kriti
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Asked: 2026-09-28T10:14:26+00:00 In:

Consider three non-collinear points A, B, C and draw the lines AB, BC, CA. For every possible location of point D in the plane outside these lines, decide if ABCD is self-intersecting, non-convex or convex. (Hint: the three lines divide the plane into 7 regions.)

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Placing D inside △ABC yields a non-convex quadrilateral. In the region opposite vertex B or across segment AC, ABCD is convex. In the remaining four outer regions, ABCD is self-intersecting.

class 9 maths ganita manjari part 2 chapter 12 question answer
class 9 Ganita Manjari Part 2 chapter 12 Quadrilaterals solutions

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    1. The three lines create seven separate regions. Placing point D inside the central triangle forms a non-convex quadrilateral with an inward dent. Placing D across side AC or in the corner region vertically opposite vertex B gives a convex quadrilateral whose diagonals intersect. For all other four outer regions around sides AB and BC, edges cross each other, producing a self-intersecting quadrilateral.

       

      For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 12 Quadrilaterals Question Answer (2026-27)

      https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-12/

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