-
Q1. In an isosceles triangle ABC, if AB = AC and angle BAC = 100 degrees, then angle ABC is:
-
Q2. The area of a triangle with vertices (x1, y1), (x2, y2), and (x3, y3) is given by:
-
Q3. The volume of a right circular cone is 100π cubic cm. If its height is 12 cm, find its radius.
-
Q4. A line segment that passes through the center of a circle and has its endpoints on the circle is called the _____.
-
Q5. In triangle PQR, PQ = QR and angle Q = 70 degrees. What is angle R?
-
Q6. The repetition of musical motifs at different pitches is a form of:
-
Q7. The distance between the centers of two circles is greater than the sum of their radii. What is the relationship between the two circles?
-
Q8. In astronomy, understanding the orbits of planets and celestial bodies involves the study of conic sections. The elliptical path of planets around the sun is a direct application of:
-
Q9. The Riemann curvature tensor is zero if and only if:
-
Q10. Which geometric concept is used to define the boundaries of a viewing area in computer graphics?
-
Q11. Which geometric shape describes the rotation of a robotic joint?
-
Q12. Which geometric shape is formed by the path of a projectile under gravity (neglecting air resistance)?
-
Q13. The electron geometry of the sulfate ion (SO4^2-) is:
-
Q14. A tennis racket string forms a grid. If the frame is 27 inches long and 10 inches wide, and the strings are spaced at 1 inch intervals, approximately how many strings are there if there are 16 main strings and 17 cross strings?
-
Q15. When constructing an angle equal to a given angle, the second arc's radius is determined by:
-
Q16. What is the geometric significance of the intersection of the medians of a triangle?
-
Q17. In a rectangle, what is true about the diagonals?
-
Q18. How many diagonals does a square have?
-
Q19. The 'degree of roughness' of a fractal curve is often quantified by its:
-
Q20. A square is inscribed in a circle of radius 5 cm. What is the length of the diagonal of the square?