MEDIUM
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IMPORTANT
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The eccentricity of the ellipse 4x2+9y2+8x+36y+4=0 is

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Important Questions on Ellipse

EASY
JEE Main/Advance
IMPORTANT
The equation x22-r+y2r-5+1=0 represents an ellipse, if
EASY
JEE Main/Advance
IMPORTANT
The length of the latus rectum of the ellipse 9x2+4y2=1 is
HARD
JEE Main/Advance
IMPORTANT
The equation of the ellipse with its centre at 1,2, focus at 6,2 and passing through the point 4,6 is
MEDIUM
JEE Main/Advance
IMPORTANT
The position of the point (1,3) with respect to the ellipse 4x2+9y2-16x-54y+61=0
HARD
JEE Main/Advance
IMPORTANT
Equation of auxilliary circle of the ellipse 2x2+6xy+5y2=1 is
HARD
JEE Main/Advance
IMPORTANT

Statement-1 : Eccentricity of ellipse whose length of latus rectum is same as distance between foci is 2sin18°.

Statement-2 : For x2a2+y2b2=1, eccentricity e=1-b2a2.

MEDIUM
JEE Main/Advance
IMPORTANT
The curve represented by x=3(cost+sint)y=4(cost-sint) is
EASY
JEE Main/Advance
IMPORTANT
Identify the following statements for true/false (T/F) in order
S1: A latus rectum of an ellipse is a line passing through a focus
S2: A latus rectum of an ellipse is a line through the centre
S3: A latus rectum of an ellipse is a line perpendicular to the major axis
S4: A latus rectum of an ellipse is a line parallel to the minor axis