CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 10 – Straight Lines Maths
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Question 2:
Reduce the following equations into intercept form and find their intercepts on the axes.
(i)3x + 2y – 12 = 0 (ii) 4x – 3y = 6 (iii) 3y + 2 =0.
Solution 2:
(i) The given equation is 3x – 2y – 12 = 0
It can be written as
3x2y12
3x
2y
1
12 12
x y
i.e., 1 ... 1
4 6
x y
This equation is of the form 1, where a = 4 and b = 6.
a b
Therefore, equation (1) is in the intercept form, where the intercepts on the x and y axes are 4
and 6 respectively.
(ii) The given equation is 4x – 3y = 6.
It can be written as
4x
3y
1
6 6
2x
y
1
3 2
x y
i.e., 1 ... 2
3 2
2
Therefore, equation (2) is in the intercept form, where the intercepts on x and y axes are 3 2 and
-2 respectively.
(iii) The given equation is 3y + 2 =0.
It can be written as
3y = - 2
y
i.e., = 1 ...(3)
2
3
x y
Therefore, equation is in the 1, where a = 0 and b =
a b
2
.
3
Therefore, equation (3) is in the intercept form, where the intercept on the y-axis is
has no intercept on the x-axis.
2
and it
3
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