Advanced Geometry
Tougher cyclic quadrilateral, similar triangle and circle theorem applications.
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Take a full mock →Q1 · Advanced Geometry · MEDIUM
Two triangles ABC and PQR are similar with AB = 6 cm, BC = 8 cm, and PQ = 9 cm. If the area of triangle ABC is 24 sq cm, what is the area of triangle PQR?
Q2 · Advanced Geometry · MEDIUM
A circle is inscribed in triangle ABC with sides AB = 13 cm, BC = 14 cm, and CA = 15 cm. What is the radius of the inscribed circle?
Q3 · Advanced Geometry · HARD
A regular hexagon is inscribed in a circle of radius 12 cm. Another circle is inscribed inside the hexagon. What is the ratio of the area of the outer circle to the area of the inner circle?
Q4 · Advanced Geometry · MEDIUM
A cone and a cylinder have equal base radii and equal heights. If the volume of the cylinder is 450 cm³, what is the volume of the cone?
Q5 · Advanced Geometry · MEDIUM
In triangle ABC, angle A = 50° and angle B = 70°. A line parallel to BC is drawn through point D on AB such that AD:DB = 2:3. If the parallel line intersects AC at E, what is the ratio of the area of triangle ADE to the area of trapezium DBCE?