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what is the value of the product of the slopes of the two lines through (1/2,1) and intersecting 2X+Y=3 at a distance 2.828 from(1/2,1)

  1. what is the value of the product of the slopes of the two lines through (1/2,1) and intersecting 2X+Y=3 at a distance 2.828 from(1/2,1) 

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Line passing through points (1/2, 1) would be:
(y –  1) = m (x – 1/2)
y = mx – m/2  + 1............(1)
2x + y = 3 …............(2)
sove gthe eqns. (1) and (2).
get x and y values in terms of m.
U would get x, y coordinates as (x,y) in terms of m.
Then apply or use distance formulae b/w the points (1/2,1)  and  (x,y) and equate it to 2.828
solve for m.
U would get 2 values of m.
Therefore, two lines of equations.

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