The area of the triangle formed by (-1, 2), (2, -1) and (0, 0) is
1
0
2
3
3
1
4
Official Solution
Correct Option:
(4)
To find the area of a triangle formed by three points , we use the formula: Substituting the points :
The correct option is (D):
02
PYQ 2024
easy
mathematicsID: ap-polyc
The area of the shaded region in the given figure is
1
4π sq. units
2
16-16π sq. units
3
16-4π sq. units
4
None of these
Official Solution
Correct Option:
(3)
The figure shows a circle inscribed in a square with radius .
Let the vertex of the square be . Since forms a square with , the side of the square is also 4.
The area of the square is .
The area of the quarter circle is .
The area of the shaded region is the area of the square minus the area of the quarter circle.
Area of shaded region = Area of square - Area of quarter circle sq. units.
03
PYQ 2025
medium
mathematicsID: ap-polyc
Area of a sector of a circle with radius 4 cm and angle 30° is (use ):
1
2
3
4
Official Solution
Correct Option:
(1)
Step 1: Formula for the Area of a Sector. The area of a sector of a circle is given by the formula: where is the central angle, and is the radius of the circle. Step 2: Substituting the Given Values. Here, the radius and the angle . Substituting these values into the formula, we get: Step 3: Conclusion. Thus, the area of the sector is .
04
PYQ 2025
easy
mathematicsID: ap-polyc
Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle at the centre is (use ):
1
28 cm
2
28.5 cm
3
27 cm
4
27.5 cm
Official Solution
Correct Option:
(2)
Step 1: Understand the problem setup We are given a circle with a radius of 10 cm. A chord of the circle subtends a right angle at the center of the circle. Step 2: Find the area of the sector The formula for the area of a sector of a circle is given by: where (since the chord subtends a right angle), and . Substitute the values: Step 3: Find the area of the triangle The area of the triangle formed by the two radii and the chord can be found using the formula for the area of a right triangle: Here, the base and height are both the radius , since the triangle is isosceles and the angle at the center is . Step 4: Find the area of the minor segment The area of the minor segment is the area of the sector minus the area of the triangle: Thus, the area of the minor segment is .
About Area - AP-POLYCET
Area is a vital chapter for AP-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 Area 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 Area carry the most weight. Then, tackle the questions iteratively to solidify your understanding.
