Q69.The sum of the squares of the lengths of the chords intercepted on the circle, ๐ฅ2 + ๐ฆ2 = 16, by the lines, ๐ฅ+ ๐ฆ= ๐, ๐โ๐, where ๐ is the set of all natural numbers is: (1) 210 (2) 105 (3) 320 (4) 160
What This Question Tests
The question requires calculating the length of chords intercepted by a family of lines on a circle, using the distance formula from the center to the line and the relationship between radius, perpendicular distance, and half-chord length.
Concepts Tested
Formulas Used
Distance from origin to line ax+by+c=0 is |c|/sqrt(aยฒ+bยฒ)
Length of chord = 2 * sqrt(Rยฒ - dยฒ)
๐ NCERT Sections This Tests
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.
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.
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
๐ Question Details
- Chapter
- Circles
- Topic
- Length of chord of a circle
- Year
- 2019
- Shift
- 08 Apr Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Maths Ch 11: Conic Sections (briefly), Class 12 NCERT has no dedicated chapter for Circles
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