AP 1st Year Maths 1B Question Paper 2025 with Answer Key, Download PDF

AP 1st Year Maths 1B Exam 2025: Candidates can find the AP 1st Year Mathematics Paper-1B question paper and answer key on this page. The question paper serves as a valuable resource for students, allowing them to familiarize themselves with the exam pattern, question types, and marking scheme. By reviewing the answer key, students can analyze their performance, identify mistakes, and estimate their scores. 

This helps them assess their strengths and weaknesses, ultimately aiding in better preparation for future exams. Additionally, going through the question paper and solutions enables students to develop effective problem-solving strategies and improve their time management skills.

AP 1st Year Maths 1B Question Paper 2025

AP 1st Year Maths 1B Question Paper 2025 is available now. Check and download the question paper PDF below:

AP 1st Year Maths 1B Answer Key 2025

1. Transform the equation 4x - 3y + 12 = 0 into (a) slope-intercept form (b) intercept form.

Ans: (a) Slope-Intercept Form:
y = (4/3)x + 4
(b) Intercept Form
Intercept at x-axis: x = (3/4)y - 3
Intercept at y-axis: y = (4/3)x + 4

2. Find the perpendicular distance from the point (-3, 4) to the straight line 5x - 12y = 2

Ans: 5

3. Find x. if the distance between (5, -1, 7) and (x, 5, 1) is 9 units.

Ans: x = 8 or x = 2

4. Find the equation of the plane whose intercepts on X, Y, Z axes are 1, 2, 4 respectively.

Ans: 4x + 2y + z = 4

5. Compute lim x → 0 [(sin ax)/(sin bx)], b ≠ 0, a ≠ b

Ans: a/b

6. Compute lim x → 2 [(x - 2)/(x ³ - 8)]

Ans: 1/12

7. If y = log(sin(log(x))) , then find dy/dx.

Ans: dy/dx = (cot(logx))/x

8. Find the second order of derivative of y = tan ^-1 ((2x)/(1 - x ² ))

Ans: -4x/(1 + x ² ) ²

9. Find Δy and dy for the function y = 5x ² + 6x + 6 at x = 2 and Δx = 0.001

Ans:  Δy = 0.026
dy = 0.026
Δy ≈ dy

10. State Rolle's theorem.

Ans: Rolle's theorem states that if a function is continuous on a closed interval and differentiable on an open interval, and the function values at the endpoints are equal, then there is a point in the interval where the function's slope is zero.

AP 1st Year Maths 1B Answer Key 2025, will be provided soon…

Also Check |

AP Inter 2nd year English Paper II Question Paper And Answer Key 2025

AP Inter 2nd Year Maths 2A Question Paper 2025 with Answer Key