Q72.The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latus ractum to the x2 y2 ellipse 9 + 5 = 1, is (1) 27 (2) 274 (3) 18 (4) 272
What This Question Tests
This question demands finding the endpoints of the latus rectum, writing tangent equations at those points, determining the vertices of the quadrilateral formed, and then calculating its area.
Concepts Tested
Formulas Used
x^2/a^2 + y^2/b^2 = 1
e^2 = 1 - b^2/a^2
Latus Rectum endpoints (±ae, ±b^2/a)
Tangent equation xx1/a^2 + yy1/b^2 = 1
📚 NCERT Sections This Tests
9.5 — A Small Bulb Is Placed At The Bottom Of A Tank Containing Water To A
Physics Class 12 · Chapter 9
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.)
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
9.1 — A Small Candle, 2.5 Cm In Size Is Placed At 27 Cm In Front Of A Concave
Physics Class 12 · Chapter 9
9.1 A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. If the candle is moved closer to the mirror, how would the screen have to be moved?
📋 Question Details
- Chapter
- Ellipse
- Topic
- Tangents to ellipse, Area of quadrilateral
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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