BITSAT SERIES Mathematics
Straight Lines
25 previous year questions.
Volume: 25 Ques
Yield: High
High-Yield Trend
2
2025 1
2021 2
2019 2
2017 6
2016 1
2015 3
2014 3
2013 1
2012 3
2011 1
2010 Chapter Questions 25 MCQs
01
PYQ 2010
medium
mathematics ID: bitsat-2
If the equations of the opposite sides of a parallelogram are
x²-5x+6=0 and y²-6y+5=0, then equations of its diagonals are
1
x+4y=13, y=4x-7
2
4x+y=13, 4y=x-7
3
4x+y=13, y=4x-7
4
y-4x=13, 4x+y=7
02
PYQ 2011
medium
mathematics ID: bitsat-2
The distance of the point (-1,1) from the line 2(x+6)-5(y-2)=0 is:
1
2
2
3
3
4
4
5
03
PYQ 2011
medium
mathematics ID: bitsat-2
The family of straight lines (2a+3b)x+(a-b)y+2a-4b=0 is concurrent at the point:
1
((2)/(5),-(14)/(5))
2
(-(2)/(5),-(14)/(5))
3
(-(2)/(5),(14)/(5))
4
((2)/(5),(14)/(5))
04
PYQ 2011
medium
mathematics ID: bitsat-2
Equation of the bisector of the acute angle between lines and is
1
2
3
4
05
PYQ 2012
medium
mathematics ID: bitsat-2
The nearest point on the line from the origin is:
1
2
3
4
None of these
06
PYQ 2013
medium
mathematics ID: bitsat-2
If , the family of lines is concurrent at one or the other of the two points-
1
,
2
,
3
,
4
,
07
PYQ 2013
medium
mathematics ID: bitsat-2
The quadratic equation whose roots are the and intercepts of the line passing through and making a triangle of area with the co-ordinate axes is
1
2
3
4
None of these
08
PYQ 2013
medium
mathematics ID: bitsat-2
If the lines , are concurrent then
1
2
3
4
09
PYQ 2014
medium
mathematics ID: bitsat-2
If and be the length of perpendiculars from the origin upon the straight lines and respectively, then the value of .
1
2
3
4
10
PYQ 2014
medium
mathematics ID: bitsat-2
The value of , for which the lines
, and are concurrent is
1
2
3
4
11
PYQ 2014
medium
mathematics ID: bitsat-2
If and be the lengths of perpendiculars from the origin upon the straight lines
and respectively, then the value of is:
1
2
3
4
12
PYQ 2015
medium
mathematics ID: bitsat-2
If the lines , and are concurrent, then the points and are
1
collinear
2
form an equilateral triangle
3
form a scalene triangle
4
form a right angled triangle
13
PYQ 2016
medium
mathematics ID: bitsat-2
The equation
x²-2√(3)xy+3y²-3x+3√(3)y-4=0
represents
1
a pair of intersecting lines
2
a pair of parallel lines with distance (5)/(2) between them
3
a pair of parallel lines with distance 5√(2) between them
4
a conic section which is not a pair of straight lines
14
PYQ 2016
medium
mathematics ID: bitsat-2
A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of the point A are
1
2
3
4
None of these
15
PYQ 2016
medium
mathematics ID: bitsat-2
The equation represents
1
a pair of intersecting lines
2
a pair of parallel lines with distance between them
3
a pair of parallel lines with distance between them
4
a conic section, which is not a pair of straight lines
16
PYQ 2016
easy
mathematics ID: bitsat-2
A ray of light coming from the point is reflected at a point on the -axis and then passes through the point . The co-ordinates of the point is
1
2
3
4
None of these
17
PYQ 2016
easy
mathematics ID: bitsat-2
The number of integral values of for which is the equation of a circle whose radius cannot exceed , is
1
14
2
18
3
16
4
None
18
PYQ 2016
easy
mathematics ID: bitsat-2
The line joining to is divided internally in the ratio at . If varies, then the locus of is
1
a pair of straight lines
2
a circle
3
a straight line
4
None of these
19
PYQ 2017
medium
mathematics ID: bitsat-2
Given the system of straight lines
a(2x+y-3)+b(3x+2y-5)=0,
the line of the system situated farthest from the point (4,-3) has the equation
1
2
3
4
3x-4y+1=0
20
PYQ 2017
medium
mathematics ID: bitsat-2
The angle between the two lines whose intercepts on the axes are a,-b and b,-a respectively is
1
2
3
4
None of these
21
PYQ 2019
medium
mathematics ID: bitsat-2
If the lines p₁x+q₁y=1, p₂x+q₂y=1 and p₃x+q₃y=1 are concurrent, then the points (p₁,q₁), (p₂,q₂) and (p₃,q₃)
1
are collinear
2
form an equilateral triangle
3
form a scalene triangle
4
form a right angled triangle
22
PYQ 2019
medium
mathematics ID: bitsat-2
Equation of two straight lines are and .Then
1
The lines are non-coplanar
2
The lines are parallel and distinct
3
The lines intersect in unique point
4
The lines are coincident
23
PYQ 2021
medium
mathematics ID: bitsat-2
Given the system of straight lines
a(2x+y-3)+b(3x+2y-5)=0, the line of the system situated farthest from the point (4,-3) has the equation
1
4x+y-15=0
2
7x+y-8=0
3
4x+3y-7=0
4
3x-4y+1=0
24
PYQ 2025
easy
mathematics ID: bitsat-2
Find the slope of the line passing through the points and :
1
3
2
2
3
4
4
1
25
PYQ 2025
easy
mathematics ID: bitsat-2
The equation of a straight line is given by . What is the slope of the line?
1
3
2
4
3
1
4
0
About Straight Lines - BITSAT
Straight Lines is a vital chapter for BITSAT aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Straight Lines PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Straight Lines carry the most weight. Then, tackle the questions iteratively to solidify your understanding.