MyQuestionIcon

1

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

Distance between Any Two Points on X-Y Plane

Write the dis...

Question

Write the distance between the points A (10 cos θ, 0) and B (0, 10 sin θ).

Open in App

Solution

We have to find the distance between A and B.

In general, the distance between A and B is given by,

So,

But according to the trigonometric identity,

Therefore,

Suggest Corrections

thumbs-up

36

Similar questions

Q. What is the distance between the points

A (\sin θ - \cos θ, 0)

B (0, \sin θ + \cos θ)

The distance between the points $(c o s θ, s i n θ)$ and $(s i n θ, - c o s θ)$ is

Q. The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ − b cos θ) is

(a) a² + b²

(b) a + b

(c) a² − b²

(d)

\sqrt{a 2 + b 2}

Q. If the distance from

(1, 0)

to two distinct points

A (sin θ, cos θ)

B ({sin}^{2} θ, - cos θ)

(\neq 0)

then the distance

A B

Q. Mark the correct alternative in each of the following:

The distance between the points (cos θ, 0) and (sin θ − cos θ) is

(a)

\sqrt{3}

\sqrt{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Distance Formula

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Distance between Any Two Points on X-Y Plane

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon