Straight Line Question 77

Question: The equation of the line joining the point (3, 5)to the point of intersection of the lines $ 4x+y-1=0 $ and $ 7x-3y-35=0 $ is equidistant from the points (0, 0) and (8, 34) [Roorkee 1984]

Options:

A)True

B)False

C)Nothing can be said

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • By $ P+\lambda Q=0 $ , the required line is $ 12x-y-31=0 $ and its distance from both the points is $ \frac{31}{\sqrt{145}} $ .