Q67.The lengths of two adjacent sides of a cyclic quadrilateral are 2 units and 5 units and the angle between them is 60o . If the area of the quadrilateral is 4√3 sq. units, then the perimeter of the quadrilateral is (1) 12.5 units (2) 13 units (3) 13.2 units (4) 12 units
What This Question Tests
This question combines properties of cyclic quadrilaterals, area of a triangle, and the cosine rule to find the lengths of unknown sides and thus the perimeter.
Concepts Tested
Formulas Used
Area of triangle = 1/2 ab sinC
Cosine Rule: c² = a² + b² - 2ab cosC
Opposite angles of cyclic quadrilateral sum to 180°
📚 NCERT Sections This Tests
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
1.14 — Consider A Uniform Electric Field E = 3 × 103 Î N/C. (A) What Is The
Physics Class 11 · Chapter 1
1.14 Consider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?
📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Cyclic quadrilateral
- Year
- 2017
- Shift
- 09 Apr Online
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 9 Mathematics Ch 10: Circles (basic properties), Class 11 Mathematics Ch 9: Applications of Trigonometry (for cosine rule and area)
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