Q14.If A and B are the points of intersection of the circle x2 + y2 −8x = 0 and the hyperbola x29 −y24 = 1 point P moves on the line 2x −3y + 4 = 0, then the centroid of △PAB lies on the line : (1) x + 9y = 36 (2) 4x −9y = 12 (3) 6x −9y = 20 (4) 9x −9y = 32
What This Question Tests
This question combines finding intersection points of a circle and a hyperbola, calculating the centroid of a triangle where one vertex is moving on a line, and determining the locus of the centroid.
Concepts Tested
Formulas Used
Solving system of equations for intersection points
Centroid G = ((x1+x2+x3)/3, (y1+y2+y3)/3)
📚 NCERT Sections This Tests
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · 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?
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 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.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Coordinate Geometry
- Topic
- Intersection of curves, Centroid of a triangle
- Year
- 2025
- Shift
- 28 Jan Shift 2
- Q Number
- Q14
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections; Class 11 Mathematics Ch 10: Straight Lines
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