Q69.The distance of the point (6, −2√2) from the common tangent and x = 1 + y2 is (1) 1 (2) 5 3 (3) 14 (4) 5√3 3
What This Question Tests
The question involves finding the common tangent to two parabolas by using the condition for tangency and then calculating the perpendicular distance of a given point from this common tangent.
Concepts Tested
Formulas Used
Tangent to y²=4ax is y=mx+a/m
Tangent to x²=4ay is x=my-a/m
Distance formula from point to line
📚 NCERT Sections This Tests
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.
2.5 — A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 · Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10–12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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📋 Question Details
- Chapter
- Parabola
- Topic
- Common tangent to parabolas, Distance from a point to a line
- Year
- 2023
- Shift
- 25 Jan Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections (Parabola), Class 11 Mathematics Ch 10: Straight Lines
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