Q56.If a hyperbola passes through the point P(10, 16), and it has vertices at (±6, 0), then the equation of the normal to it at P , is. (1) 3x + 4y = 94 (2) 2x + 5y = 100 (3) x + 2y = 42 (4) x + 3y = 58
What This Question Tests
This question tests the ability to determine the equation of a hyperbola given its vertices and a point it passes through, and then find the equation of the normal to the hyperbola at a specific point.
Concepts Tested
Formulas Used
x^2/a^2 - y^2/b^2 = 1
Equation of normal: (a^2x)/x1 + (b^2y)/y1 = a^2+b^2
📚 NCERT Sections This Tests
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.
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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
- Hyperbola
- Topic
- Equation of Hyperbola and Normal
- Year
- 2020
- Shift
- 08 Jan Shift 2
- Q Number
- Q56
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Hyperbola)
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