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Deepak Bora
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Find the equation of the straight line containing the point (3, 2) and making positive equal intercepts on axes.

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ICSE Board Question Based on Equation of a Straight Line Chapter of M.L Aggarwal for class10
In this question a straight line having a point and makes positive equal intercepts on axes.
You have to find the equation of the straight line.
This is the Question Number 28, Exercise 12.1 of M.L Aggarwal.

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  1. Let the line containing the point P (3, 2) pass through x-axis at A (x, 0) and y-axis at B (0, y)

    ML Aggarwal Solutions for Class 10 Chapter 12 - 6Given, OA = OB

    Thus, x = y

    Now, the slope of the line (m) = y2 – y1/ x2 – x1

    = 0 – y/ x – 0

    = -x/x = -1

    Hence, the equation of the line will be

    y – y1 = m (x – x1)

    y – 2 = -1 (x – 3)

    y – 2 = -x + 3

    ⇒ x + y – 5 = 0

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