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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is - Mathematics

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Question

If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

Options

  • 3

  • 6

  • 9

  • 12

MCQ

Solution

9

Explanation;

Hint:

Since the three points are collinear.

Area of a triangle is 0

5p + 18 + 42 – (21 + 6p + 30) = 0

5p + 60 – (51 + 6p) = 0

5p + 60 – 51 – 6p = 0

– p + 9 = 0

– p = – 9

p = 9

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Chapter 5: Coordinate Geometry - Exercise 5.5 [Page 236]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 5 Coordinate Geometry
Exercise 5.5 | Q 4 | Page 236
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