SELECT PAGE NO.

No Books/Pages Are Available

SELECT PROBLEM NO. FOR THE PAGE
49

Step-by-step Answer
PAGE: 168SET: ExercisesPROBLEM: 49
Please look in your text book for this problem Statement

The curve equations are  and .

Two curves are said to be orthogonal trajectories when the slopes of the tangent line to both the curves is equal to .

Consider .

Apply derivative on each side with respect to .

.

Consider .

.

.

Now, .

Apply derivative on each side with respect to .

Substitute  in the above expression.

.

Now we can observe that product slope of  and  is equal to .

Therefore both the curves are orthogonal to each side.

Graph both the curves.

Consider different values of ,  and .

Graph each curve for different values of ,  and .

The two curves  and  are orthogonal to each other.



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only