JEE Advanced Model Paper 1 with solutions for online practice

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Question : 60 of 60
 
Marks: +1, -0
Column - I Column - II
A) The eccentricity of the ellipse which meets the straight line 2x -3 y = 6 on the X-axis and the straight 1 line 4x + 5y= 20 on the Y-axis and whose principal axes lie along the coordinate axes, is p) 1/2
B) A bar of length 20 units moves with its ends on two fixed straight lines at right angles. A point P marked on the bar at a distance of 8 units from one end describes a conic whose eccentricity is q) 1/√2
C) If one extremity of the minor axis of the ellipse
x2
a2
+
y2
b2
= 1and the foci form an equilateral triangle , then its eccentricity is
r) √5/3
D) There are exactly two points on the ellipse
x2
a2
+
y2
b2
= 1 whose distance from the centre of the ellipse are greatest and equals to √
a2+2b2
2
Eccentricity of this ellipse is equal to
s) √7/4
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