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Phrases Previous Year Questions (PYQs)

Phrases Straight Line PYQ

Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ
The range of values of $\theta$ in the interval $(0,\pi)$ such that the points (3, 2) and $(cos\theta ,sin\theta)$ lie on the samesides of the line x + y – 1 = 0, is





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





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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2024 PYQ

Solution

Phrases PYQ
Let $a$ be the distance between the lines $−2x + y = 2$ and $2x − y = 2$, and $b$ be the distance between the lines $4x − 3y= 5$ and $6y − 8x = 1$, then





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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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





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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

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





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Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

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Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

Solution

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





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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

Solution

Phrases PYQ
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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Phrases Previous Year PYQPhrases 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).
Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2017 PYQ

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Phrases PYQ
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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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution


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