A normal at P(x,y) on a curve meets the x-axis at Q and N is the foot of the ordinate at P˙ If NQ=1+x2x(1+y2) , then the equation of curve given that it passes through the point (3,1) is

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

A normal at {P}{({x},{y})} on a curve meets the x-axis at {Q}

Question

A normal at $P (x, y)$ on a curve meets the x-axis at $Q$ and $N$ is the foot of the ordinate at $P ˙$ If $N Q = \frac{x ( 1 + y ^{2} )}{1 + x ^{2}}$ , then the equation of curve given that it passes through the point $(3, 1)$ is

Views: 983 students

Found 5 tutors discussing this question

Emma Discussed

A normal at

P (x, y)

on a curve meets the x-axis at

Q

and

N

is the foot of the ordinate at

P ˙

N Q = \frac{x ( 1 + y ^{2} )}{1 + x ^{2}}

, then the equation of curve given that it passes through the point

(3, 1)

7 mins ago

Discuss this question LIVE

7 mins ago

Question Text

A normal at

P (x, y)

on a curve meets the x-axis at

Q

and

N

is the foot of the ordinate at

P ˙

N Q = \frac{x ( 1 + y ^{2} )}{1 + x ^{2}}

, then the equation of curve given that it passes through the point

(3, 1)