Teachoo MCQ Test

Short Quiz

Chapter 10 Class 11 Conic Sections | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 480
Question 1 of 5
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Question 1 of 5
If the latus rectum of an ellipse is half of its minor axis, find its eccentricity.
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Question 2 of 5
Does the point \((-2.5, 3.5)\) lie inside, outside, or on the circle \(x^2 + y^2 = 25\)?
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Question 3 of 5
What is the maximum area of a rectangle that can be inscribed in the ellipse \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\)?
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Question 4 of 5
A rotating water sprinkler sprays water in a circular area. If the edge of the watered area is modeled by the equation \(x^2 + y^2 - 6x + 8y = 0\) on a coordinate grid (in meters), what is the maximum distance between two watered plants?
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Question 5 of 5
Calculate the area of the triangle formed by the lines joining the vertex of the parabola \(x^2 = 12y\) to the ends of its latus rectum.
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