Identify the statements which are True. - Vidyadip

MCQ

Identify the statements which are True.

A
the equation of the director circle of the ellipse, $5x^2 + 9y^2 = 45 $ is $ x^2 + y^2 = 14.$
B
$P$ $\&$ $Q $ are the points with eccentric angles $ \theta \& \theta + \alpha $ on the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} $ $= 1$ , then the area of the triangle $OPQ$ is independent of $\theta .$
C
the point of intersection of any tangent to a parabola & the perpendicular to it from the focus lies on the tangent at the vertex.
✓
all of the above

✓

Answer

Correct option: D.

all of the above

d

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