Q67.Let π΄ be the point 1, 2 and π΅ be any point on the curve π₯2 + π¦2 = 16. If the centre of the locus of the point π, which divides the line segment π΄ π΅ in the ratio 3: 2 is the point πΆπΌ, π½, then the length of the line segment π΄πΆ is (1) 3β5 (2) 4β5 5 5 (3) 2β5 (4) 6β5 5 5
What This Question Tests
This problem requires applying the section formula to find the coordinates of a point on a locus, identifying the equation of the locus (a circle), and then calculating the distance between two points.
Concepts Tested
Formulas Used
Section formula: P = (mB + nA)/(m+n)
Distance formula
π NCERT Sections This Tests
2.1 β Two Charges 5 Γ 10β8 C And β3 Γ 10β8 C Are Located 16 Cm Apart. At
Physics Class 11 Β· Chapter 2
2.1 Two charges 5 Γ 10β8 C and β3 Γ 10β8 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.
9.8 β A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 Β· Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
2.4 β A Spherical Conductor Of Radius 12 Cm Has A Charge Of 1.6 Γ 10β7C
Physics Class 11 Β· Chapter 2
2.4 A spherical conductor of radius 12 cm has a charge of 1.6 Γ 10β7C 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?
π Question Details
- Chapter
- Coordinate Geometry
- Topic
- Locus and section formula
- Year
- 2023
- Shift
- 10 Apr Shift 2
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 10: Straight Lines, Class 11 Mathematics Ch 11: Conic Sections
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