JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Hard

1 of 1

Analyzing +4 | -1

The normal at any point

P(x, y)

of a curve meets

x

- and

y

-axes in

A

and

B

, respectively. If

O

is the origin and

O A

and

O B

are the algebraic intercepts of the normal at

P

such that

\frac{1}{O A}+\frac{1}{O B}=1

then the equation of the curve is [given that

(5,4)

is a point on the curve]

View answer and explanation

Correct option: D

(x-1)^2+(y-1)^2=25

Option D (

(x-1)^2+(y-1)^2=25

) is correct because it represents the equation of the curve obtained by solving the given differential equation and using the point (5,4).

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