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Maths Conic Sections Class 11 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 11 · Maths · CBSE

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Chapter 10 Class 11 Conic Sections | 10 questions | about 8 minutes

Practise Conic Sections Class 11 with Teachoo's 10 Question MCQ (including Assertion) (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
Assertion (A): A marine radar located at the origin with a maximum scanning radius of \(10\) km will successfully detect a stationary ship located at the coordinates \((6, 8)\).
Reason (R): The ship's distance from the radar is exactly \(10\) km, meaning it lies securely on the outermost boundary of the radar's coverage area.
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Question 2 of 10
Determine the equation of the hyperbola where foci are \((0, \pm 13)\) and the conjugate axis is of length \(24\).
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Question 3 of 10
A marine radar located at \((2, 3)\) has a scanning range of \(10\) km. A ship is located at the coordinate \((10, 8)\). Will the ship be detected by the radar?
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Question 4 of 10
Assertion (A): The eccentricity of any valid hyperbola is unconditionally always strictly greater than \(1\).
Reason (R): For a hyperbola, the fundamental geometric relationship between the semi-axes and focal distance is defined as \(c^2 = a^2 - b^2\).
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Question 5 of 10
Assertion (A): The coordinates of the focus of the downward-opening parabola \(x^2 = -16y\) are \((0, -4)\).
Reason (R): The given parabola is functionally symmetrical with respect to the y-axis.
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Question 6 of 10
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 7 of 10
What is the length of the latus rectum for the hyperbola \(16x^2 - 9y^2 = 576\)?
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Question 8 of 10
A parabolic reflector is \(20\) cm in diameter and \(5\) cm deep. How far is the focus from the vertex?
20 cm diameter5 cm deep
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Question 9 of 10
Assertion (A): A man running notes that the sum of his distances from two static flag posts is always \(10\) m, and the distance between the posts is \(8\) m. His path forms an ellipse with an eccentricity of \(4/5\).
Reason (R): The area of the largest rectangle that can be successfully inscribed inside an ellipse defined by \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\) is geometrically \(2ab\).
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Question 10 of 10
The distance between the directrices of a hyperbola is \(4/3\) and its eccentricity is \(3/2\). What is the length of its transverse axis?
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This 10 Question MCQ (including Assertion) covers Conic Sections Class 11 for Class 11 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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