Question

Consider the location of Fatima and Kiran to be at F(-2,6)F(−2,6) and K(3,-4)K(3,−4) respectively. Both decided to meet at location P by traveling a minimum distance. Fatima and Kiran should travel the distance in 2:3 ratio to meet at P. Nitin wants to meet them at P, so he chooses a straight path n1. If the slope of the n1 is 3/2 then which of the following represent(s) the path n1 ?

Answer 1

Answer:

qualifier ka ques ha kya ?

Answer 2

The answer is y = 1.5x + 2 .

Given:

The location of Fatima is (-2,6).

The location of Kiran is (3,−4).

P is at 2:3 of FK.

The slope of the line is 1.5

To Find:

The line Nitin travels

Solution:

Therefore we can find the coordinates of P using the section formula

$x=\frac{3*-2+2*3}{2+3}=0$

$y=\frac{3*6+2*-4}{3+2}=2$

Hence P is (0,2).

The line Nitin travels is given by

$y=1.5x + c$

As P lies on this line

$2=c$

Hence the line n1 is given as y = 1.5x + 2.

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