If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

Question

If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be (A) (0, a) (B) (0, 0) (C) (0, - a) (D) (a, a)

Tardigrade Admin · Accepted Answer

t 40518 text clliMORE e is a variable quantity (x a e/a2)+(y b2/a b2)=1 ⇒ e x+y=a ⇒ y-a+e x=0 it passes through (0, a ). ||ly other point is (0,- a )

Q. If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

(0, a)

(0, 0)

(0, - a)

(a, a)

$t_{40518 clliMORE} e$ is a variable quantity
$\frac{x a e}{a ^{2}} + \frac{y b ^{2}}{a b ^{2}} = 1 \Rightarrow e x + y = a \Rightarrow y - a + e x = 0$
it passes through $(0, a)$ .
||ly other point is $(0, - a)$

Q. If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

(0, a)

(0, 0)

(0, - a)

(a, a)

t40518 clliMORE ​e is a variable quantity a2xae​+ab2yb2​=1⇒ex+y=a⇒y−a+ex=0 it passes through (0,a). ||ly other point is (0,−a)

$t_{40518 clliMORE} e$ is a variable quantity
$\frac{x a e}{a ^{2}} + \frac{y b ^{2}}{a b ^{2}} = 1 \Rightarrow e x + y = a \Rightarrow y - a + e x = 0$
it passes through $(0, a)$ .
||ly other point is $(0, - a)$