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:
