Conic Sections Question 405
Question: The curve represented by $ x=3(\cos t+\sin t) $ , $ y=4(\cos t-\sin t) $ is
[EAMCET 1988; DCE 2000]
Options:
A) Ellipse is a closed curve with two foci, where the sum of the distances from any point on the curve to the two foci is constant.
B) Parabola is a U-shaped curve where any point is at an equal distance from a fixed point called the focus and a fixed straight line called the directrix. It is the graph of a quadratic function and is symmetric about its axis of symmetry. The standard form of a parabola is y = ax² + bx + c, where a, b, and c are constants. The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Parabolas have many real-world applications, such as in the design of satellite dishes and the trajectory of projectiles.
C) Hyperbola
D) Circle.
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{x^{2}}{9}+\frac{y^{2}}{16}=1 $ which is an ellipse
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