Phrases Straight line Previous Year Question Paper and Solution with PDF

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Phrases Straight Line PYQ

Qus : 1Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 2Phrases PYQ 2023

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 Previous Year PYQPhrases NIMCET 2023 PYQ

Solution

Qus : 3Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 4Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2019 PYQ

Solution

Qus : 5Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2024 PYQ

Solution

Qus : 6Phrases PYQ 2022

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

Solution

Qus : 7Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 8Phrases PYQ 2022

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

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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 9Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2022 PYQ

Solution

Qus : 10Phrases PYQ 2024

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

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Phrases Previous Year PYQPhrases NIMCET 2024 PYQ

Solution

Qus : 11Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

Solution

Straight Line

Qus : 12Phrases PYQ 2018

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

Qus : 13Phrases 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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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).

Qus : 14Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2017 PYQ

Solution

Qus : 15Phrases 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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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

Solution

Qus : 16Phrases PYQ 2015

The foot of the perpendicular from the point (2, 4) upon

$x + y = 1$ is

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Phrases Previous Year PYQPhrases NIMCET 2015 PYQ

Solution

Qus : 17Phrases PYQ 2015

$(– 4, 5)$ is one vertex and

$7x – y + 8 = 0$ is one diagonal of a square, then the equation of the other diagonal is

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Phrases Previous Year PYQPhrases NIMCET 2015 PYQ

Solution

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