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Ex 9.2, 12 Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3). Equation of a line by intercept form is x/a + y/b = 1 Where a = x-intercept & b = y-intercept But given that x & y intercept are equal a = b Thus, equation of line is x/a + y/a = 1 x + y = a x + y a = 0 Now we need to find value of a Since the line passes through the point (2, 3) Point (2, 3) will satisfying the equation of line Putting x = 2 & y = 3 in (1) 2 + 3 a = 0 5 a = 0 a = 5 Now, Equation of line becomes x + y a = 0 x + y 5 = 0 Hence the required equation of line is x + y 5 = 0

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo