The equation of the curve is 2=2+4. The equation of the line is =3−, where is an integer. (i)Find the largest value of the integer for which intersects . (ii)In the case where =−2, show that the line joining the points of intersection of and is bisected by the line =2+5.
Answers 1
Answer:
Correct option is C)
Let B be the pt. of contact y=f(x) be the curve
then AB=BC (given condition)
C≡(2x,0) A≡(0,2y)
Slope m of line AC is
m=
dx
dy
=
2x−0
0.2y
dx
dy
=
x
−y
y
dy
=
x
−dx
lny=−lnx+c
yx=c
as (2,3) satisfies the curve
∴2×3=c
∴y=
x
6
is the curve
∴ Option C is correct
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Author:
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