Q84.A rectangle R with end points of the one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a diameter of the circle is 2x โy + 4 = 0, then the area of R is _____.
What This Question Tests
This multi-concept question requires combining knowledge of rectangles inscribed in circles (diagonals are diameters), properties of circles, and coordinate geometry to find the dimensions and ultimately the area of the rectangle.
Concepts Tested
Formulas Used
Midpoint formula
Distance formula
Perpendicular distance from point to line
Area of rectangle = length ร width
๐ NCERT Sections This Tests
2.4 โ A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 ร 10โ7C
Physics Class 11 ยท Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 ร 10โ7C distributed uniformly on its surface. What is the electric field (a) inside the sphere (b) just outside the sphere (c) at a point 18 cm from the centre of the sphere?
2.2 โ A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 ยท 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.
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
๐ Question Details
- Chapter
- Coordinate Geometry
- Topic
- Circles
- Year
- 2022
- Shift
- 27 Jun Shift 1
- Q Number
- Q84
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines, Ch 11: Conic Sections
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