A point on the ellipse, 4x2+9y2=36, where the normal is parallel to the line, 4x -2y - 5 = 0, is:

Question

A point on the ellipse, 4x2+9y2=36, where the normal is parallel to the line, 4x -2y - 5 = 0, is: (A) ((9/5),(8/5)) (B) ((8/5),(9/5)) (C) (-(9/5),(8/5)) (D) ((8/5),(5/9))

Tardigrade Admin · Accepted Answer

Correct answer is (a) ((9/5),(8/5))

Q. A point on the ellipse, $4 x^{2} + 9 y^{2} = 36,$ where the normal is parallel to the line, $4 x - 2 y - 5 = 0$ , is:

$(\frac{9}{5}, \frac{8}{5})$

$(\frac{8}{5}, \frac{9}{5})$

$(- \frac{9}{5}, \frac{8}{5})$

$(\frac{8}{5}, \frac{5}{9})$

Correct answer is (a) $(\frac{9}{5}, \frac{8}{5})$

Q. A point on the ellipse, 4x2+9y2=36, where the normal is parallel to the line, 4x−2y−5=0, is:

(59​,58​)

(58​,59​)

(−59​,58​)

(58​,95​)