TS EAMCET Mathematics 2025 Most Expected Questions
Based on the previous years' papers, TS EAMCET Mathematics 2025 most expected questions are provided here to help students prepare better for the exam. TS EAMCET 2025 is from April 29 to May 4 for both E, A&P streams.

TS EAMCET Mathematics 2025 Most Expected Questions: Students who appeared for the TS EAMCET Mathematics 2025 check out the most expected questions for the Mathematics section here. Based on previous years' papers, our experts have selected the top 18 questions that might appear in the exam. These questions cover the complete Mathematics syllabus from both TS Intermediate 1st and 2nd year. In the Mathematics section, there will be 40 multiple-choice questions for Agriculture & Pharmacy and 80 questions for Engineering streams, each carrying 1 mark. There is no negative marking. Students are encouareged to go through these selected questions to boost their chances of securing better score in TS EAMCET 2025.
TS EAMCET Mathematics 2025 Most Expected Questions
The list of TS EAMCET Mathematics 2025 Most Expected Questions are provided here based on PYQs and 1st and 2nd year textbooks:
Q. No. | Question |
1. | ∫ sin 6 x/cos 8 x
(a) tan 7x + c
(c) tan 7x /7 +c (d) sec 7 x |
2. |
∫ (x
5
)/(x
2
+ 1)dx =
(a) x 4 /4 + x 3 /3 - tan-1 (x) + c (b) x 4 /4 - x 2 /2 + 1/2 log(x 2 +1) + c (c) x 4 /4 + x 3 /3 + tan-1 (x) + c (d) x 4 /4 + x 2 /2 - 1/2 log(x 2 + 1) + c |
3. |
∫ sin 7x /(sin 2x sin 5x) dx =
(a) log(sin 5x sin 2x) + c (b) log(sin 5x) + sin 2x + c (c) 1/5 log(sin 5x) + 1/2 log (sin 2x) + c (d) 1/5 log(sin x) + 1/2 log (sin x) + c |
4. |
If the circles x
2
+ y
2
+ 2αx + 2y - 8 = 0 and x
2
+ y²-2x + αy = 14 = 0 intersect then the distance between their centres is
(a) √242 (b) √970 (c) √629 (d) √541 |
5. |
If (1, 3) is the midpoint of a chord of the circle, x
2
+ y
2
- 4x - 8y + 16 = 0, then the are. of the tiangle formed by that chord with the coordinate ces is
(a) 16 (b) ৪ (c) 4 (d) 8√2 |
6. |
The normal drawn at (1, 1) to the circle x² + y²- 4x +6y- 4=0 is
(a) 4x+3y=7 (b) 4x+y=5 (c) x+y=2 (d) 4x-y=3 |
7. |
The pole of the straight line 9x+y-28 = 0 with respect to the circle 2x²+2y
2
-3x+5y-7-0 is
(a) (-1,3) (b) (2,-3) (c) (3,-1) (d) (3.-3) |
8. |
The locus of the point of intersection of perpendicular tangents drawn to the circle x ^ 2 + y ^ 2 = 10 is
(a) x 2 + y 2 = 5 (b) x 2 + y 2 = 20 (c) x 2 + y 2 = 25 (d) x 2 + y 2 = 100 |
9. |
The equation of the circle passing through the origin and cutting the circles x
2
+ y
2
+ 6x - 15 = 0 and x
2
+ y
2
-8y-10=0 orthogonally is
(a) 2x 2 + 2y 2 - 5x + 10y = 0 (b) 2x 2 + 2y 2 - 10x + 5y = 0 (c) x 2 + y 2 - 2x + 5y = 0 (d) x 2 + y 2 - 5x + 2y = 0 |
10. |
(1, k) is a point on the circle passing through the points (-1, 1), (0, -1) and (1, 0). If k≠0, then k =
(a) 1/2 (b) 1/3 (c) -1/3 (d) -1/2 |
11. |
If the tangents x+y+k=0and x+ay+b=0 drawn to the circle S= x² + y²+2x-2y+1=0 are perpendicular to each other and k, b are both greater than 1, then b-k=
(a) √2 (b) 0 (c) 2 (d) 2√2 |
12. |
The equation of the normal drawn to the parabola y
2
= 6x at the point (24, 12) is
(a) 3x - y = 60 (b) 4x + y = 108 (c) 2x + y = 60 (d) x - 2y = 0 |
13. |
The axis of a parabola is parallel to Y-axis. If this parabola passes through the points (1, 0), (0, 2), (-1, -1) and its equation is ax² + bx + cy+d=0, then ad/ bc=
(a) 5/8 (b) 5/2 (c)-10 (d) 10 |
14. |
The normal drawn at a point (2, 4) on the parabola y
2
= 8x cuts again the same parabola at (α, ẞ) then α+ẞ=
(a) 8 (b) 16 (c) 24 (d) 30 |
15. |
P and Q are the extremities of a focal chord of the parabola y2 = 4ax. If P = (9, 9) and Q = (p. q), then p-q=
(a)-27/16 (b) 63/16 (c) 45/16 (d) 81/16 |
16. |
The line 21x + 5y = k touches the hyperbola 7x² - 5y² = 232 then k =
(a) 116 (b) 232 (c) 58 (d) 110 |
17. |
The value of a such that the straight line joining the points (0, 3) and (5, -2) is tangent to the curve y = is C/x+1
(a) 3 (b) 4 (c) 5 (d) 2 |
18. |
The equation of the straight line whose slope is -2/3 and which divides the line segment joining (1, 2), (-3, 5) in the ratio 4: 3 externally is
(a) 2x+3y-12=0 (b) 3x+2y+27=0 (c) 2x+3y-9=0 (d) 2x+3y+12=0 |
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