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NIMCET Previous Year Questions (PYQs)

NIMCET Ellipse PYQ


NIMCET PYQ 2019
If S and S' are foci of the ellipse , B is the end of the minor axis and BSS' is an equilateral triangle, then the eccentricity of the ellipse is 





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

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NIMCET PYQ 2019
Equation of the tangent from the point (3,−1) to the ellipse 2x2 + 9y2 = 3 is





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

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NIMCET PYQ 2024
If (4, 3) and (12, 5) are the two foci of an ellipse passing through the origin, then the eccentricity of the ellipse is





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2024
The equation 3x2+10xy+11y2+14x+12y+5=0 represents





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2022
The eccentricity of an ellipse, with its center at the origin is 13 . If one of the directrices is x=9, then the equation of ellipse is:





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2021
The locus of the point of intersection of tangents to the ellipse x2a2+y2b2=1 which meet right angles is





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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution


NIMCET PYQ 2021
The eccentric angle of the extremities of latus-rectum of the ellipse x2a2+y2b2=1 are given by 





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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

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NIMCET PYQ 2020
The tangent to an ellipse x2 + 16y2 = 16 and making angel 60° with X-axis is:





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

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