Q72.A point on the ellipse, 4x2 + 9y2 = 36 , where the normal is parallel to the line, 4x −2y −5 = 0 , is : (1) ( 95 , 85 ) (2) ( 85 , −95 ) (3) (−95 , 85 ) (4) ( 85 , 95 )
What This Question Tests
This question tests the knowledge of the standard equation of an ellipse and how to find the slope of its normal at a given point, using the condition for parallel lines.
Concepts Tested
Formulas Used
Equation of ellipse x²/a² + y²/b² = 1
Slope of normal at (x1, y1): m_N = a²y1 / b²x1
📚 NCERT Sections This Tests
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.
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.
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
- Ellipses
- Topic
- Normal to an ellipse, Slope of tangent/normal
- Year
- 2013
- Shift
- 25 Apr Online
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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