A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point (-3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line?

NDA 2016 Mathematics question

A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point . What is the foot of the perpendicular drawn from the point on this line?

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

Answer: (D)

Solution

The line passes through and , so its slope is and its equation is

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Question ID VK-028510