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Analytical Geometry - Quant/Math - CAT 2009
Question 4 the day:
April 11, 2003
The question for the day is from the topic of Analytical Geometry.
- Find the equation of a line whose intercepts are twice of the line 3x – 2y – 12 = 0
| (1) |
3x – 2y = 24 |
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(2) |
2x – 3y = 12 |
| (3) |
2x – 3y = 24 |
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(4) |
None of these |
Correct Answer - (1)
Solution:
Put x = 0, then y = - 6
Therefore, y intercept is – 6
Put y = 0, then x = 4
Therefore, x intercept is 4
Hence the intercepts of the required line are 8 and – 12
Hence the equation of the line is (x/8) + (y/-12) = 1
-12x + 8y = -96
3x – 2y = 24.
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