Q73.If the vertices of a hyperbola be at (−2, 0) and (2, 0) and one of its foci be at (−3, 0), then which one of the following points does not lie on this hyperbola ? (1) (6, 5√2) (2) (−6, 2√10) (3) (2√6, 5) (4) (4, √15)
What This Question Tests
From the given vertices and focus, determine the values of 'a' and 'ae'. Calculate eccentricity 'e' and 'b^2'. Formulate the equation of the hyperbola and then check each given option by substituting the coordinates into the hyperbola's equation to see which point does not satisfy it.
Concepts Tested
Formulas Used
Vertices (±a, 0)
Foci (±ae, 0)
b^2 = a^2(e^2-1)
Equation of hyperbola x^2/a^2 - y^2/b^2 = 1
📚 NCERT Sections This Tests
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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.
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📋 Question Details
- Chapter
- Hyperbola
- Topic
- Equation of hyperbola and point checking
- Year
- 2019
- Shift
- 12 Jan Shift 1
- Q Number
- Q73
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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