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

AP Inter 2nd Year Mathematics Paper- IIA Exam 2025: Candidates can find a detailed exam analysis for the AP Inter 2nd Year Mathematics Paper- IIA exam on this page. The exam ended at 12 PM. This analysis includes the overall difficulty level of the paper and the difficulty level of each section – Section A, Section B, and Section C.

It will also provide an idea of the expected good score, helping students assess their performance. Additionally, student reviews and feedback will be collected and updated here. These reviews will give valuable insights into the question paper, helping students understand the exam better.

AP Inter 2nd Year Mathematics Paper- IIA Question Paper 2025

AP Inter 2nd Year Mathematics Paper- IIA Question Paper 2025, will be provided soon

AP Inter 2nd Year Mathematics Paper- IIA Exam Analysis 2025

Here is theAP Inter 2nd Year Mathematics Paper- IIA Answer Key 2025 Exam Analysis 2025 in a tablulated information: 

AP Inter 2nd Year Mathematics Paper- IIA Answer Key 2025

Section A

1. Write the conjugate of the complex number 5i/(7+i).

Solution:

So, answer is 1/10−7i/10

2. Simplify -2i(3+i)(2+4i)(1+i)and obtain the modulus of that complex number.

Solution:

So, answer is 40.

3.If 1, ω, ω2 are the cube roots of unity, then prove that:

(2−ω)(2−ω²)(2−ω¹⁰)(2−ω¹¹)=49

Solution:

We know that:

ω³=1,ω⁴=ω,ω⁵=ω²,…

Hence,ω¹⁰=ω,ω¹¹=ω²

The equation becomes:

(2−ω)(2−ω²)(2−ω)(2−ω²)

Grouping the terms:

[(2−ω)(2−ω²)]²

Expand:

=(4−2ω−2ω²+ωω²)²

=(4−2ω−2ω²+1)²

=(5−2ω−2ω²)²

As 1+ω+ω²=0,

(5−2ω−2ω²)²= [5+2(1)]²=7²=49

So, answer is 49

4.For what values of x the expression x²−5x−14 is positive?

Answer:

x²−5x−14>0

x²−7x+2x−14>0

(x−7)(x+2)>0

⇒x<−2 or x>7

Hence for x∈(−∞,−2)∪(7,∞), the expression x2−5x−14 is positive.

5. Form polynomial equations of the lowest degree, with roots 1, -1, 3.

Answer:

The polynomial equation with given roots is:

p(x)=(x−1)(x+1)(x−3) or simplifying this we get:

p(x)=x³−3x²−x+3

So, the required polynomial equation is p(x)=x³−3x²−x+3.

6.There are 4 copies (alike) each of 3 different books. Find the number of ways of arranging these 12 books in a shelf in a single row.

Answer: 

Total books = 12 (4 copies each of 3 different books)

Total number of ways for arranging alike objects is 

9. Find the mean deviation about the median for the following data: 4, 6, 9, 3, 10, 13, 2.

Answer:

Arrange data: 2, 3, 4, 6, 9, 10, 13

Median = 6

Mean deviation:

AP Inter 2nd Year Mathematics Paper- IIA Complete Answer Key 2025, will be provided soon

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