Get 2 FREE Instant-Explanations on Filo with code FILOAPP

The tangent at a point {P} on the hyperbola {{{x}^{{2}}}}{{{a}

Question

The tangent at a point $P$ on the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ meets one of the directrix at $F ˙$ If $P F$ subtends an angle $θ$ at the corresponding focus, then $θ =$ $\frac{π}{4}$ (b) $\frac{π}{2}$ (c) $\frac{3 π}{4}$ (d) $π$

Views: 924 students

Found 8 tutors discussing this question

Sofia Discussed

The tangent at a point

P

on the hyperbola

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

meets one of the directrix at

F ˙

P F

subtends an angle

θ

at the corresponding focus, then

θ =

\frac{π}{4}

(b)

\frac{π}{2}

(c)

\frac{3 π}{4}

(d)

π

11 mins ago

Discuss this question LIVE