Q1 · medium · AI-verified
Two chords AB and CD of a circle intersect at point P inside the circle. If AP = 4 cm, PB = 9 cm, and CP = 6 cm, then PD is:
- 6 cm
- 8 cm
- 12 cm
- 10 cm
Q2 · medium · PYQ 2022
What is the ratio of interior angle to exterior angle of a regular polygon of n sides?
- 2(n-2)/3
- (n-1)/2
- (n-2)/2
- n
Q3 · medium · AI-verified
In a triangle ABC, if the sides are in the ratio 3:4:5 and the perimeter is 36 cm, what is the area of the triangle?
- 48 sq cm
- 72 sq cm
- 60 sq cm
- 54 sq cm
Q4 · medium · PYQ 2023
Two equal arcs of different circles C₁ and C₂ subtend angles of 60° and 75° respectively, at the centres. What is the ratio of the radius of C₁ to the radius of C₂?
- 3:2
- 4:5
- 1:1
- 5:4
Q5 · medium · PYQ 2023
What is the area of the region between two concentric circles if the chord of the outer circle of length 14 cm is a tangent of the inner circle? (Take π = 22/7)
- 144 sq cm
- 132 sq cm
- 125 sq cm
- 154 sq cm