anonymous
  • anonymous
A straight line passes through the point (3,0) and meets a variable line y=tx at right angles at point P.Find the coordinates P in terms of t.Find also the value of k, given that P lies on the curve x²+y²=kx
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
amistre64
  • amistre64
|dw:1333630616897:dw| i think this is the area of concern for the 2 lines
amistre64
  • amistre64
|dw:1333630851328:dw|
amistre64
  • amistre64
from geometry i recall a notion that any triangle that has the diameter of a circle for a hypot; and has legs that hit the outer circle; will always be a right triangle

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

amistre64
  • amistre64
so the circle that we are concerned with that matches the information is at least: (x-1.5)^2 + y^2 = (1.5)^2 this traces all the points of perpendicular intersection of the 2 lines in question
anonymous
  • anonymous
Well I definitely know that a triangle with a hypotenuse is a right angled triangle,but what do you mean by the legs touching the outer circle ?
amistre64
  • amistre64
P = |dw:1333631264507:dw|
amistre64
  • amistre64
i mean that where the other 2 sides meet up at to form a right angle will meet on the rim of the circle
amistre64
  • amistre64
now if we are looking for a circle that touches a specific spot ON this circle with the criteria that x^2 + y^2 = kx; then that circle will center at the origin
amistre64
  • amistre64
kx = r^2 ; 0 < r < 3 hmm
amistre64
  • amistre64
x^2 + y^2 = 1 --- --- kx kx x + y^2 = 1 - --- k kx 1/k (x + y^2/x) = 1 1/k = 1/x+y^2/x k = x+y^2/x
amistre64
  • amistre64
class beckons me; so good luck
anonymous
  • anonymous
What are the exact coordinates of P then ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.