Q1 · medium · PYQ 2025
Two similar triangles have areas in the ratio of 9:25. What is the ratio of their corresponding altitudes?
- 81 : 625
- 3 : 25
- 3 : 5
- 9 : 25
Q2 · medium · PYQ 2024
In ΔABC, XY is drawn parallel to BC, cutting sides at X and Y, where AB = 5.4 cm, BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?
- 3.2
- 3.0
- 4.3
- 2.8
Q3 · medium · PYQ 2023
In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.
- 34 cm
- 28 cm
- 17 cm
- 30 cm
Q4 · medium · PYQ 2021
In △ABC, AC = BC and the length of the base AB is 16 cm. If CG = 8 cm, where G is the centroid, then what is the length of AC?
- 12 cm
- √91 cm
- 13 cm
- 15 cm
Q5 · medium · PYQ 2024
The areas of two similar triangles APQR and AXYZ are 12.96 cm² and 635.04 cm², respectively. If QR = 2.9 cm, then the length (in cm) of YZ equals:
- 30.4
- 25.2
- 20.3
- 23.2