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Question

Equation of the line passing through (–1, 1) and perpendicular to the line 2x + 3y + 4 = 0, is



Correct Answer
A
2(y – 1) = x + 1
Your Answer
B
3(y –1)= –2(x + 1)
Your Answer
C
y – 1 = 2(x + 1)
Your Answer
D
3(y – 1) = x + 1

Solution

The correct option is A 2(y – 1) = x + 1

The gradient of line 2x + 3y + 4 = 0 is 23.  Now the equation of line passing through (1,1) is y1 = m(x+1), but m = 123=32.  Therefore the required equation is 2(y1) = 3(x+1).

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