BITSAT SERIES Mathematics
Parabola
11 previous year questions.
Volume: 11 Ques
Yield: Medium
High-Yield Trend
2
2024 1
2019 1
2018 1
2017 1
2015 1
2014 1
2013 1
2011 1
2008 1
2005 Chapter Questions 11 MCQs
01
PYQ 2005
medium
mathematics ID: bitsat-2
The equation of a parabola which passes through the intersection of a straight line and the circle is :
1
2
3
4
none of these
02
PYQ 2008
easy
mathematics ID: bitsat-2
If and are conjugate with respect to the parabola , then is equal to
03
PYQ 2011
medium
mathematics ID: bitsat-2
The length of the latus rectum of the parabola is:
1
2
3
4
None of these
04
PYQ 2013
hard
mathematics ID: bitsat-2
If the line touches the parabola , then find the value of .
1
-15/4
2
-27/4
3
-1/4
4
-3/4
05
PYQ 2014
easy
mathematics ID: bitsat-2
Through the vertex of a parabola , chords and are drawn at right angles to one another. The locus of the middle point of is
1
2
3
4
06
PYQ 2015
easy
mathematics ID: bitsat-2
Let be the focus of the parabola and let be the common chord of the circle and the given parabola. The area of the is
1
4 sq units
2
3 sq units
3
2 sq units
4
8 sq units
07
PYQ 2017
medium
mathematics ID: bitsat-2
The equation of one of the common tangents to the parabola and
1
y = -x + 2
2
y = x - 2
3
y = x + 2
4
None of these
08
PYQ 2018
medium
mathematics ID: bitsat-2
Consider the equation of a parabola , where which of the following is/are correct?
1
Tangent at the vertex is x = 0
2
Directrix of the parabola is x = 0
3
Vertex of the parabola is not at the origin
4
Focus of the parabola is at (a, 0)
09
PYQ 2019
medium
mathematics ID: bitsat-2
What is the slope of the normal at the point (at, 2at) of the parabola y = 4ax ?
1
2
t
3
#NAME?
4
10
PYQ 2024
medium
mathematics ID: bitsat-2
Let be the length of the common chord of the curves
and let be the length of the latus rectum of . Then:
1
2
3
4
11
PYQ 2024
medium
mathematics ID: bitsat-2
If the focus of the parabola
always lies between the lines and then:
1
2
3
4
About Parabola - BITSAT
Parabola 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 Parabola 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 Parabola carry the most weight. Then, tackle the questions iteratively to solidify your understanding.