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Analytical Geometry - Quant/Math - CAT 2013

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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 (2) 2x – 3y = 12
(3) 2x – 3y = 24 (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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