Math Assignment Help With Intersection Of A Line And Hyperbola

7.6.6 Intersection of a line and Hyperbola:

The only condition for a line y = mx + c to be tangent on hyperbola x2 + y2 is;

a2 b2

c = ± √a2m2 – b2

Example: Find the point of contact of a line 5x + 2y = 9 touching the hyperbola x2 – 9y2 = 9.

Solution: The given line is 5x + 12y = 9 ….(i)

The given hyperbola is x2 – 9y2 = 9. ….(ii)

intersection of a line and hyperbolaMath Assignment Help Order Now

9x2 – 90x +225 = 0

X2 – 10 x + 25 = 0

(x – 5)2 = 0

X = 5, 5 are the two coincident roots.

Putting x = 5 in (i) we get y = -(4/3)

Therefore,

The point of contact is (5, -4/3)

Email Based Assignment Help in Intersection Of A Line And Hyperbola

To Schedule a Intersection Of A Line And Hyperbola tutoring session click here
To submit Intersection Of A Line And Hyperbola assignment click here.

Following are some of the topics in Conic Sections-Parabola, Hyperbola And Ellipse in which we provide help:

Geometry Help | Calculus Help | Math Tutors | Algebra Tutor | Tutorial Algebra | Algebra Learn | Math Tutorial | Algebra Tutoring | Calculus Tutor | Precalculus Help | Geometry Tutor | Maths Tutor | Geometry Homework Help | Homework Tutor | Mathematics Tutor | Calculus Tutoring | Online Algebra Tutor | Geometry Tutoring | Online Algebra Tutoring | Algebra Tutors | Math Homework Helper | Calculus Homework Help | Online Tutoring | Calculus Tutors | Homework Tutoring