Q65.The equation of a common tangent to the parabolas ๐ฆ= ๐ฅ2 and ๐ฆ= - ๐ฅ- 22 is (1) ๐ฆ= 4๐ฅ- 2 (2) ๐ฆ= 4๐ฅ- 1 (3) ๐ฆ= 4๐ฅ+ 1 (4) ๐ฆ= 4๐ฅ+ 2
What This Question Tests
This question requires finding the equation of a common tangent by applying the condition of tangency for two different forms of parabolas and solving for slope and y-intercept.
Concepts Tested
Formulas Used
y = mx + c
Condition for tangency c = a/m for yยฒ = 4ax
Condition for tangency c = -amยฒ for xยฒ = 4ay
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
9.15 โ Apply Mirror Equation And The Condition:
Physics Class 12 ยท 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.
9.8 โ A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 ยท 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?
๐ Question Details
- Chapter
- Parabola
- Topic
- Common tangents to parabolas
- Year
- 2022
- Shift
- 26 Jul Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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