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

Find the equation of a line whose intercepts on the x and y axes are given below 4, – 6 - Mathematics

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Question

Find the equation of a line whose intercepts on the x and y axes are given below

4, – 6

Sum

Solution

x intercept (a) = 4, y intercept (b) = – 6

Equation of a line is `x/"a" + y/"b"` = 1

`x/4 + y/(-6)` = 1

⇒ `x/4 - y/6` = 1  ...(L.C.M. of 4 and 6 is 12)

3x – 2y = 12

3x – 2y – 12 = 0

The equation of a line is 3x – 2y – 12 = 0

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Chapter 5: Coordinate Geometry - Exercise 5.3 [Page 230]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 5 Coordinate Geometry
Exercise 5.3 | Q 12. (i) | Page 230
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