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NIMCET Previous Year Questions (PYQs)

NIMCET Straight Line PYQ


NIMCET PYQ 2023
Let a, b, c, d be no zero numbers. If the point of intersection of the line 4ax + 2ay + c = 0 & 5bx + 2by + d=0 lies in the fourth quadrant and is equidistance from the two are then





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

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NIMCET PYQ 2023
The range of values of θ in the interval (0,π) such that the points (3, 2) and (cosθ,sinθ) lie on the samesides of the line x + y – 1 = 0, is





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

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NIMCET PYQ 2019
In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution


NIMCET PYQ 2019
The median AD of ΔABC is bisected at E and BE is extended to meet the side AC in F. The AF : FC =





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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

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NIMCET PYQ 2024
If the perpendicular bisector of the line segment joining p(1,4) and q(k,3) has yintercept -4, then the possible values of k are





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2022
Let a be the distance between the lines 2x+y=2 and 2xy=2, and b be the distance between the lines 4x3y=5 and 6y8x=1, then





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2022
Area of the parallelogram formed by the lines y=4x, y=4x+1, x+y=0 and x+y=1





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2022
The area enclosed within the curve |x|+|y|=2 is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2022
A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equation is





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

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NIMCET PYQ 2024
The points (1,1/2) and (3,-1/2) are





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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

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NIMCET PYQ 2018
The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0, (1+p)(x-q)+q(1+ q)=0 and y=0 where p≠q is





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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Straight Line

NIMCET PYQ 2018
Equation of the line perpendicular to x-2y=1 and passing through (1,1) is





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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

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NIMCET PYQ 2017
If non-zero numbers a, b, c are in A.P., then the straight line ax + by + c = 0 always passes through a fixed point, then the point is





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

Since a, b and c are in A. P. 2b = a + c  
a –2b + c =0
The line passes through (1, –2).

NIMCET PYQ 2017
If the lines x + (a – 1)y + 1 = 0 and 2x + a2y – 1 = 0 are perpendicular, then the condition satisfies by a is





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

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NIMCET PYQ 2021
The lines px+qy=1 and qx+py=1 are respectively the sides AB, AC of the triangle ABC and the base BC is bisected at (p,q). Equation of the median of the triangle through the vertex A is 





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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

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