BITSAT SERIES Mathematics
Sections Of A Cone
19 previous year questions.
Volume: 19 Ques
Yield: Medium
High-Yield Trend
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2026 1
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2012 2
2011 2
2010 Chapter Questions 19 MCQs
01
PYQ 2010
medium
mathematics ID: bitsat-2
The line ax+by=1 cuts ellipse cx²+dy²=1 only once if
1
ca²+db²=1
2
(c)/(a²)+(d)/(b²)=1
3
(a²)/(c)+(b²)/(d)=1
4
a²c+b²d=1
02
PYQ 2010
medium
mathematics ID: bitsat-2
If the line 2x-1=0 is the directrix of the parabola
y²-kx+6=0, then one of the values of k is
1
-6
2
6
3
1/4
4
-1/4
03
PYQ 2011
medium
mathematics ID: bitsat-2
The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
1
(u²)/(g)cos²α
2
(u²)/(g)\cos2α
3
(2u²)/(g)cos² 2α
4
(2u²)/(g)cos²α
04
PYQ 2011
medium
mathematics ID: bitsat-2
The equation of the ellipse with focus at (±5,0) and eccentricity =(5)/(6) is:
1
(x²)/(36)+(y²)/(25)=1
2
(x²)/(36)+(y²)/(11)=1
3
(x²)/(25)+(y²)/(11)=1
4
None of these
05
PYQ 2012
medium
mathematics ID: bitsat-2
Find the eccentricity of the conic represented by :
1
2
2
3
4
06
PYQ 2013
medium
mathematics ID: bitsat-2
S and T are the foci of an ellipse and B is an end of the minor axis. If is an equilateral triangle, then the eccentricity of the ellipse is
1
2
3
4
07
PYQ 2013
medium
mathematics ID: bitsat-2
An ellipse has OB as semi-minor axis, and its foci and the angle is a right angle. Then the eccentricity of the ellipse is
1
2
3
4
08
PYQ 2013
medium
mathematics ID: bitsat-2
If the line touches the parabola , then find the value of .
1
2
3
4
09
PYQ 2014
medium
mathematics ID: bitsat-2
Through the vertex of parabola , chords OP and OQ are drawn at right angles to one another. The locus of the midpoint of PQ is
1
2
3
4
10
PYQ 2014
medium
mathematics ID: bitsat-2
An arch of a bridge is semi-elliptical with major axis horizontal. If the length of the base is m and the highest part of the bridge is m from the centre of the horizontal axis, the best approximation of the height of the arch m from the centre of the base is:
1
2
3
4
11
PYQ 2015
medium
mathematics ID: bitsat-2
The eccentricity of an ellipse, with its centre at origin, is . If one of the directrices is , then the equation of the ellipse is
1
2
3
4
12
PYQ 2016
medium
mathematics ID: bitsat-2
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
1
2
3
4
(\dfrac23,2)
13
PYQ 2016
medium
mathematics ID: bitsat-2
The locus of the point of intersection of two tangents to the parabola
y²=4ax, which are at right angle to one another is
1
2
3
4
x+y+a=0
14
PYQ 2017
medium
mathematics ID: bitsat-2
The length of the semi-latus rectum of an ellipse is one third of its major axis. Its eccentricity would be
1
2
3
4
(1)/(\sqrt2)
15
PYQ 2018
medium
mathematics ID: bitsat-2
Consider the equation of parabola y²+4ax=0 where a>0. Which of the following is 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)
16
PYQ 2020
medium
mathematics ID: bitsat-2
The locus of the point of intersection of two tangents to the parabola
y²=4ax
which are at right angle to one another is
1
2
3
4
x+y+a=0
17
PYQ 2020
easy
mathematics ID: bitsat-2
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
18
PYQ 2021
medium
mathematics ID: bitsat-2
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
1
(2)/(3)
2
√((2)/(3))
3
\dfrac1√(3)
4
\dfrac1√(2)
19
PYQ 2026
medium
mathematics ID: bitsat-2
Let P be a point on the parabola, . If the distance of P from the centre of the circle, is minimum, then the equation of the tangent to the parabola at P, is :
1
2
3
4
About Sections Of A Cone - BITSAT
Sections Of A Cone 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 Sections Of A Cone 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 Sections Of A Cone carry the most weight. Then, tackle the questions iteratively to solidify your understanding.