mathsurgently needed
posted by Anonymous .
A line through through the point (3,0) meet the variable line y=tx at right angle at the point P.
Find in terms of t, the coordinates of P

mathsurgently needed 
Steve
P has coordinates (x,tx)
The line from (3,0) to P has slope 1/t
now, drop an altitude from P to the xaxis.
tx/(x3) = 1/t
x = 3/(1+t^2)
P = (3/(1+t^2), 3t/(1+t^2)) 
mathsurgently needed 
bobpursley
line 1: y=tx
line 2: y=x/t +b
but you know point 3,0 is on line 2
0=3/t + b or b=3/t
line2: y=x/t +3/t
line1 y=tx
set them equal
tx=x/t+3/t solve for x
then solve for y. 
mathsurgently needed 
Anonymous
Thank u so much @steve and @bobpursley
Respond to this Question
Similar Questions

Calculus
I asked for help on a question yesterday and I got really good help and I was wondering if someone could help with this problem too. This is the question: Find an equation of the line through the point (1,3) that cuts off the least … 
maths
determine the coordinates of the point of intersection of the two lines: the line through (3;5) and (4;2) and the yaxis 
math
i have more than one question so if u no any of the answers please tell me 1.) write the pointslope form of the equation of the line with slope 2 passing through the point ( 5, 9). 2.) write the pointslope form of an equation … 
precalc
I;m not sure if i am doing this right...I keep getting a negative intersection point, which doesn't seem possible. Please help! a) find the equatoin of line 1 which passes through (1,3) and (9,7) I get y=3+1/2(x+1)or y=1/2x+2.5 b) … 
maths
find the equation to the straight line which passes through the point of intersection of the line 3x+4y1=0 and 5x+8y3=0 and is perpendicular to the line 4x2y+3=0 
mathsurgently needed
find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes xy+2z=5 and 3x+y+z=6 
mathsurgently needed
find the vector and the cartesian equation of the line passing through (1,2,3) and parallel to the planes xy+2z=5 and 3x+y+z=6 
Math
What is the yintercept of y = 2/3x + 2? I have to write it out but how? 
Math please.
What is the yintercept of y = 2/3x + 2? I have to write it out but how? 
Algebra
can somebody please help me with this question I've spent more than 3 hours on this, still nothing Let L1 be the line passing through the point P1=(2, −4, −6) with direction vector →d1=[1, 0, 2]T, and let L2 be the line passing …