Mathematics & Logic

Tackle Elite Geometry Reasoning Challenges

Push boundaries with eight tough geometry questions fusing logic, theorems, and precise calculations for math masters.

#geometry theorems#geometric inequalities#trigonometric geometry#Euclidean geometry#conic sections#coordinate geometry#advanced proofs#spatial logic

Total Questions

Difficulty Level

hard

Progress

0/0

Quiz Questions

Answer all questions below and test your knowledge.

1
When two chords AB and CD intersect at P inside a circle, the measure of angle APC equals:
Question 1
2
In coordinate geometry, the locus of points equidistant from (2,3) and (8,7) is:
Question 2
3
Ceva's theorem holds for concurrent cevians AD, BE, CF in triangle ABC if:
Question 3
4
For a cyclic quadrilateral ABCD, Ptolemy's theorem states:
Question 4
5
The focus of the parabola y^2 = 8x is at:
Question 5
6
In triangle ABC with sides a=5, b=6, c=7, the cosine of angle C is:
Question 6
7
The area of a triangle with vertices (0,0), (4,0), (0,3) using shoelace formula is:
Question 7
8
For vectors OA=(1,2,3), OB=(4,5,6), angle between them satisfies cos theta =
Question 8
9
In 3D geometry, the distance from point P(1,1,1) to plane x + y + z - 3 = 0 is:
Question 9
10
By triangle inequality, for sides a,b,c >0, which must hold?
Question 10