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JEE Questions for Maths Conic Section Quiz 13 - MCQExams.com
JEE
Maths
Conic Section
Quiz 13
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None of the above
The vertices of a hyperbola are at (0,and (10,and one of its foci is at (18, 0). The equation of the hyperbola is
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The equation to the hyperbola having its eccentricity 2 and the distance between its foci is 8
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x = ±1
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y = ±2
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y = ±√2
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y = ±√2
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A parabola
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A hyperbola
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An ellipse
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A circle
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(1, –1)
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(–1, 1)
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(–1, –1)
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(1, 1)
The equation of the hyperbola whose foci are (6,and (–4,and eccentricity 2 is given by
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2
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9
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2
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3
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Explanation
It is obvious
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16
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–16
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±16
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None of these
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3
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18
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9
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None of the above
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a and b
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a only
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b only
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c only
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x = 1
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y = 1
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y = 4
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x = 4
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45o
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60o
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30o
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75o
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What is the slope of the tangent line drawn to the hyperbola xy = a(a ≠at the point (a, 1)
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0
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e
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e2
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e/2
Explanation
By property.
The product of perpendicular drawn from any point of a hyperbola to its asymptotes is
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1
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2
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4
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If e and e’ are eccentricity of hyperbola and its conjugate respectively, then
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2
The equation of a hyperbola, whose foci are (5,and (–5,and the length of whose conjugate axis is 8 is
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(–3,lies on the hyperbola
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(3,lies on the hyperbola
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(10,lies on the hyperbola
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(5,lies on the hyperbola
The distance between the directrices of a rectangular hyperbola is 10 units, then distance between its foci is
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5
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20
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