# Find the equations of a line containing the point A(3, 4) and making equal intercepts on the co-ordinate axes. - Mathematics and Statistics

Sum

Find the equations of a line containing the point A(3, 4) and making equal intercepts on the co-ordinate axes.

#### Solution

Let the equation of the line be

x/"a" + y/"b" = 1

Since, the required line make equal intercepts on the co-ordinate axes.
∴ a = b
∴ (i) reduces to x + y = a          …(ii)
Since the line passes through A(3, 4).
∴ 3 + 4 = a
i.e. a = 7
Substituting a = 7 in (ii) to get
x + y = 7.

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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Exercise 5.3 | Q 8 | Page 73