HARD
JEE Main/Advanced
IMPORTANT
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A latus rectum of an ellipse is a line

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Important Questions on Ellipse

EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>Multiple Choice II>Q 10
Equation of tangent to the ellipse x2/9+y2/4=1 which cut off equal intercepts on the axes is :
HARD
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>Multiple Choice II>Q 11
The equation of tangent to the ellipse x2+3y2=3 which is perpendicular to the line 4y=x-5, is
EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>Multiple Choice II>Q 12
The points where the normals to the ellipse x2+3y2=37 be parallel to the line 6x-5y=2:
EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>FILL IN THE BLANKS>Q 1
The centre of the ellipse 14x2-4xy+11y2-44x-58y+71=0 is
EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>FILL IN THE BLANKS>Q 2
If the tangent to the ellipse x2+4y2=16 at the point ϕ is a normal to the circle x2+y2-8x-4y=0, then ϕ is equal to ......
EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>FILL IN THE BLANKS>Q 3
The number of real tangents that can be drawn to the ellipse 3x2+5y2=32 passing through 3,5 is ..........
EASY
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>FILL IN THE BLANKS>Q 4
If Pθ and Qπ2+θ are two points on the ellipse x2a2+y2b2=1, locus of the mid-point of PQ is
MEDIUM
JEE Main/Advanced
IMPORTANT
Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 6 - Ellipse>FILL IN THE BLANKS>Q 5
The eccentricity of the ellipse ax2+by2+2fx+2gy+c=0 if axis of ellipse parallel to x-axis is