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AI Gen: Conic Sections (Parabola Ellipse Hyperbola) question bank (Mathematics)

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Q1.

If the normal to the parabola y^2 = 4ax at point t1 meets the parabola again at point t2, then t2^2 + t1*t2 + t1^2 is equal to:

Topic: Conic Sections (Parabola Ellipse Hyperbola) | Source: AI Generated (JEE Main)

(A)
0
(B)
2
(C)
2
(D)
4
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Q2.

The eccentricity of an ellipse with its centre at the origin, major axis along the x-axis, and passing through the points (4, 3) and (-1, 12) is:

Topic: Conic Sections (Parabola Ellipse Hyperbola) | Source: AI Generated (JEE Main)

(A)
sqrt(3)/2
(B)
1/2
(C)
sqrt(5)/3
(D)
2/3
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