The equation of the line perpendicular to 2x-3y+5=0 and making an intercept 3 with positive Y-axis is

MHT CET 2022 Mathematics question

The equation of the line perpendicular to and making an intercept 3 with positive Y-axis is

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

The given line has slope , so a perpendicular line has slope ; equivalently its equation has the form . The Y-intercept is obtained by putting : . The

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Question ID VK-093873