Q.

The number of values of a for which the lines 2x + y -  1 = 0, ax + 3Y - 3 = 0, and 3x + 2Y - 2 = 0 are concurrent is

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a

0

b

1

c

2

d

infinite

answer is D.

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Detailed Solution

Lines 2x + y - 1= 0 and 3x + 2y -2 - 0 meet at (0, 1) which satisfies ax + 3y - 3 = 0 for all real values of a.
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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The number of values of a for which the lines 2x + y -  1 = 0, ax + 3Y - 3 = 0, and 3x + 2Y - 2 = 0 are concurrent is