Q85.If the points of intersection of two distinct conics x2 + y2 = 4b and x216 + y2b2 then 3√3 times the area of the rectangle formed by the intersection points is _______.
What This Question Tests
This question involves finding the intersection points of a circle and an ellipse, verifying if they lie on a given curve, and then calculating the area of a rectangle formed by these intersection points, requiring algebraic manipulation and geometric understanding.
Concepts Tested
Formulas Used
Equation of circle x^2 + y^2 = r^2
Equation of ellipse x^2/a^2 + y^2/b^2 = 1
Solving system of equations
Area of rectangle = length × width
📚 NCERT Sections This Tests
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9.5 A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
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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.
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?
📋 Question Details
- Chapter
- Ellipse
- Topic
- Intersection of conics
- Year
- 2024
- Shift
- 29 Jan Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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