Discussion
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- Question
In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?
Options- A. 1296/49
- B. 25
- C. 1225/36
- D. 1225/64
- Correct Answer
- 1296/49
- 1. In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?
Options- A. 36
- B. 32
- C. 58
- D. 54 Discuss
- 2. A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?
Options- A. 240
- B. 120
- C. 60
- D. 90 Discuss
- 3. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?
Options- A. 6.3
- B. 5.8
- C. 6
- D. 7 Discuss
- 4. In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?
Options- A. 28
- B. 18
- C. 21
- D. 24 Discuss
- 5. In a triangle PQR, ?PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?
Options- A. 9
- B. 4
- C. 8
- D. 6 Discuss
- 6. In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?
Options- A. 32√3
- B. 24[(√)-1]
- C. 48[(√3)-1]
- D. 16[3-(√3)] Discuss
- 7. In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in sq.cm) of the shaded part?
Options- A. 120/7
- B. 160/7
- C. 180/7
- D. 240/13 Discuss
- 8. The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?
Options- A. 63 : 36
- B. 23 : 62
- C. 63 : 2
- D. 63 : 23 Discuss
- 9. ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?
Options- A. 18?3
- B. 24?3
- C. 36?3
- D. 42?3 Discuss
- 10. In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region?
Options- A. 70
- B. 140
- C. 77
- D. 84 Discuss
Area problems
Search Results
Correct Answer: 58
Correct Answer: 60
Correct Answer: 7
Correct Answer: 28
Correct Answer: 4
Correct Answer: 16[3-(√3)]
Correct Answer: 160/7
Correct Answer: 63 : 23
Correct Answer: 36?3
Correct Answer: 84
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