TS-EAMCET SERIES Mathematics
Conic Sections
21 previous year questions.
Volume: 21 Ques
Yield: High
High-Yield Trend
21
2025 Chapter Questions 21 MCQs
01
PYQ 2025
medium
mathematics ID: ts-eamce
A(2,0), B(0,2), C(-2,0) are three points. Let a, b, c be the perpendicular distances from a variable point P on to the lines AB, BC and CA respectively. If a, b, c are in arithmetic progression, then the locus of P is
1
2
3
4
02
PYQ 2025
medium
mathematics ID: ts-eamce
The ellipse ( ) is an ellipse with eccentricity . If the angle of intersection between the ellipse and parabola is , then the coordinates of the point on the ellipse is
1
2
3
4
03
PYQ 2025
medium
mathematics ID: ts-eamce
The normal at a point on the parabola passes through a point P. Two more normals to this parabola also pass through P. If the centroid of the triangle formed by the feet of these three normals is G(2,0), then the abscissa of P is
1
4
2
-4
3
5
4
-5
04
PYQ 2025
medium
mathematics ID: ts-eamce
The circumcenter of the equilateral triangle having the three points lying on the ellipse as its vertices is . Then the average of and is
1
2
3
4
05
PYQ 2025
medium
mathematics ID: ts-eamce
The number of common tangents that can be drawn to the curves and is
1
0
2
1
3
3
4
2
06
PYQ 2025
medium
mathematics ID: ts-eamce
If the angle between the tangents drawn to the parabola from the points on the line is , then the sum of the abscissae of all such points is
1
5/3
2
4/7
3
2/5
4
10/13
07
PYQ 2025
medium
mathematics ID: ts-eamce
The length of the chord of the ellipse formed on the line is
1
2
3
4
08
PYQ 2025
medium
mathematics ID: ts-eamce
Let P, Q, R, S be the points of intersection of the circle and the hyperbola . If P = and , then the equation of the tangent drawn at P to the hyperbola is
1
2
3
4
09
PYQ 2025
medium
mathematics ID: ts-eamce
If the perpendicular distance from the focus of an ellipse ( ) to its corresponding directrix is , then the slope of the tangent to this ellipse drawn at is
1
2
3
4
10
PYQ 2025
medium
mathematics ID: ts-eamce
If and are the slopes of the tangents drawn from the point (1,4) to the parabola then
1
24
2
22
3
21
4
18
11
PYQ 2025
medium
mathematics ID: ts-eamce
The number of normals that can be drawn through the point (2,0) to the parabola is
1
0
2
1
3
2
4
3
12
PYQ 2025
medium
mathematics ID: ts-eamce
A straight line passing through a point (3,2) cuts X and Y-axes at the points A and B respectively. If a point P divides AB in the ratio 2:3, then the equation of the locus of point P is
1
2
3
4
13
PYQ 2025
medium
mathematics ID: ts-eamce
If the normals drawn at the points and on the parabola intersect again on at R, then R =
1
2
3
4
14
PYQ 2025
medium
mathematics ID: ts-eamce
The equation of the locus of a point which is at a distance of 5 units from a fixed point (1,4) and also from a fixed line 2x+3y-1=0 is
1
2
3
4
15
PYQ 2025
medium
mathematics ID: ts-eamce
If the percentage error in the radius of a circle is 3, then the percentage error in its area is
1
6
2
3/2
3
2
4
4
16
PYQ 2025
medium
mathematics ID: ts-eamce
If the point P( ) lying on the curve is the closest point to the line then the perpendicular distance from P to the line is
1
2
4
3
1
4
17
PYQ 2025
medium
mathematics ID: ts-eamce
If a normal is drawn at a variable point P(x, y) on the curve , then the maximum distance from the centre of the curve to the normal is
1
1
2
7
3
12
4
18
PYQ 2025
medium
mathematics ID: ts-eamce
If the tangent drawn at the point on the hyperbola meets its directrix at in the fourth quadrant then
1
2
3
4
19
PYQ 2025
medium
mathematics ID: ts-eamce
The midpoint of the chord of the ellipse formed on the line is
1
2
3
4
20
PYQ 2025
medium
mathematics ID: ts-eamce
Let P be a point on the ellipse and let the perpendicular drawn through P to the major axis meet its auxiliary circle at Q. If the normals drawn at P and Q to the ellipse and the auxiliary circle respectively meet in R, then the equation of the locus of R is
1
2
3
4
21
PYQ 2025
medium
mathematics ID: ts-eamce
If is the acute angle between the tangents drawn from the point (1,5) to the parabola then
1
2
3
4