Geometric Questions Answers

Analytical Geometry - Quant/Math - CAT 2008

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)

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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.