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Maths Conic Sections Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

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Chapter 10 Class 11 Conic Sections | 7 questions | about 6 minutes

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

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Question 1 of 7
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Question 1 of 7
Assertion (A): The ellipse parameterized by the equation \(9x^2 + 4y^2 = 36\) has its major axis oriented vertically along the y-axis.
Reason (R): The eccentricity of this specific ellipse evaluates to \(\frac{\sqrt{5}}{2}\).
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Question 2 of 7
Assertion (A): A point moves such that the sum of the squares of its distances from \((2, 0)\) and \((-2, 0)\) is always \(16\). The locus of this moving point is a circle of radius \(2\).
Reason (R): The geometric condition algebraically simplifies to \(x^2 + y^2 = 16\), defining a circle of radius \(4\).
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Question 3 of 7
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 4 of 7
Assertion (A): The focal distance of any point \(P(x, y)\) moving along the parabola \(y^2 = 12x\) is \(x + 3\).
Reason (R): By definition, the focal distance of a point on the standard parabola \(y^2 = 4ax\) equals its perpendicular distance from the directrix \(x = -a\), which resolves to \(x + a\).
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Question 5 of 7
Assertion (A): The length of the latus rectum of the parabola \(y^2 = -12x\) is \(12\).
Reason (R): The equation of the directrix for the parabola \(y^2 = -12x\) is the vertical line \(x = -3\).
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Question 6 of 7
Assertion (A): The equation of the parabola with its vertex at \((0,0)\) and focus at \((0,2)\) is given by \(x^2 = 8y\).
Reason (R): The straight-line distance between the focus and the vertex of this parabola is strictly \(2\) units.
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Question 7 of 7
Assertion (A): The hyperbola strictly defined by \(9y^2 - 4x^2 = 36\) has its transverse axis located entirely along the y-axis.
Reason (R): In the standard layout of a hyperbola, the mathematical variable possessing the positive coefficient designates the specific axis upon which the transverse axis and foci reside.
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