MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Length of Tangent

show that ang...

Question

show that angle between tangent at any point P and the line joining P to the origin O is same at all points on the curve log(x²+y²)=ktan inverse (y/x)

Open in App

Solution

post in the respective forum

Suggest Corrections

thumbs-up

0

Similar questions

Q. The angle between the tangent at any point

P

and the line joining

P

to the origin, where

P

is a point on the curve

ln (x^{2} + y^{2}) = c {tan}^{- 1} \frac{y}{x}, c

is constant, is

Q. The curve for which the normal at any point

P (x, y)

and the line joining origin to the point

P

form an isosceles triangle with

x -

axis as base is

Q. Consider the curve

x = 1 - 3 t^{2}, y = t - 3 t^{3}

. The tangent at any point on the curve is inclined at an angle

θ

with the positive x-axis. If tangent at point

P (- 2, 2)

cuts the curve again at point

Q

Q. The curve for which the normal at any point

(x, y)

and the line joining origin to that point form an isosceles triangle with x axis as base is

Q. If P(x,y) is any point on the line joining the points A(a, o) & B(o, b), then show that

\frac{x}{a} + \frac{y}{b} = 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Geometrical Interpretation of a Derivative

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Length of Tangent

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon