A curve passes through the point $(0, - 2)$ and at any point $(x, y)$ of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.

Views: 868 students

Found 8 tutors discussing this question

Benjamin Discussed

A curve passes through the point

(0, - 2)

and at any point

(x, y)

of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.

11 mins ago

Discuss this question LIVE

11 mins ago

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

A curve passes through the point

(0, - 2)

and at any point

(x, y)

of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.

A curve passes through the point $(0, - 2)$ and at any point $(x, y)$ of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.

Filo tutor solution

Practice questions from similar books

A curve passes through the point (0,−2) and at any point (x,y) of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.

Filo tutor solution

Practice questions from similar books

A curve passes through the point $(0, - 2)$ and at any point $(x, y)$ of the curve, the product of the slope of its tangent and y-coordinate of the point is equal to the x-coordinate of the point. Find the equation of the curve.