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NIMCET Previous Year Questions (PYQs)

NIMCET Hyperbola PYQ


NIMCET PYQ 2022
If the foci of the ellipse x225+y2b2=1 and the hyperbola x2144y281=125 are coincide, then the value of b2





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2024
At how many points the following curves intersect y29x216=1 and x24+(y4)216=1





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2022
If (xa)2+(yb)2=1, (a>b) and x2y2=c2 cut at right angles, then





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

If x2a2+y2b2=1 and x2c2+y2d2=1 are orthogonal.
Then 
a2b2=c2d2

Similarly 
If x2a2+y2b2=1 and x2y2=c2 are orthogonal.
It means
x2a2+y2b2=1 and x2c2+y2c2=1 are orthogonal

Then 
a2b2=c2(c2)
a2b2=2c2



NIMCET PYQ 2024
If the line a2x+ay+1=0, for some real number a, is normal to the curve xy=1 then





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2018
Equation of the common tangents with a positive slope to the circle and  is





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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2017
The equation of the hyperbola with centre at the region, length of the transverse axis is 6 and one focus (0, 4) is





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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NIMCET PYQ 2023
Find foci of the equation x^2 + 2x – 4y^2 + 8y – 7 = 0





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

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