The circumference of a circle is 100 cm, then the side of a square inscribed in the circle is
1
2
3
4
Official Solution
Correct Option:
(3)
The correct option is (C): .
02
PYQ 2020
medium
mathematicsID: ts-polyc
In the figure, _____ .
1
60°
2
90°
3
30°
4
110°
Official Solution
Correct Option:
(2)
The correct option is (B): 90°.
03
PYQ 2025
easy
mathematicsID: ts-polyc
If are in A.P., then is equal to:
1
1
2
2
3
0
4
Undefined
Official Solution
Correct Option:
(1)
We are given that are in arithmetic progression (A.P.). In an A.P., the common difference is constant, i.e., . Therefore: Now, we need to compute . Using the relationship , we can write: Thus, the value of is .
04
PYQ 2025
medium
mathematicsID: ts-polyc
If are in A.P., then is equal to:
1
1
2
2
3
0
4
Undefined
Official Solution
Correct Option:
(1)
We are given that are in arithmetic progression (A.P.). In an A.P., the common difference is constant, i.e., . Therefore: Now, we need to compute . Using the relationship , we can write: Thus, the value of is .
05
PYQ 2025
medium
mathematicsID: ts-polyc
In the sequence , the common difference is:
1
2
2
8
3
4
4
6
Official Solution
Correct Option:
(2)
We are given that the sequence is in arithmetic progression (A.P.). In an arithmetic progression, the difference between any two consecutive terms is constant. Let the common difference be . We know: and By equating the two expressions for : Solving for : Now, the common difference is: Thus, the common difference is .
06
PYQ 2025
medium
mathematicsID: ts-polyc
The terms 4, 7, 10, \dots form an A.P. The sum of the first 15 terms is?
1
340
2
360
3
375
4
390
Official Solution
Correct Option:
(3)
Step 1: Using the formula for the sum of an A.P. The sum of the first terms of an A.P. is given by: where is the first term, is the common difference, and is the number of terms. Step 2: Substitute the given values. We are given that:
Now substitute these values into the sum formula: Simplify the expression:
About Circle - TS-POLYCET
Circle is a vital chapter for TS-POLYCET 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 Circle 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 Circle carry the most weight. Then, tackle the questions iteratively to solidify your understanding.