Q85.A tangent line ๐ฟ is drawn at the point 2, - 4 on the parabola ๐ฆ2 = 8๐ฅ. If the line ๐ฟ is also tangent to the circle ๐ฅ2 + ๐ฆ2 = ๐, then ๐ is equal to . 3 = ๐ผ- ๐ด3}, where ๐ผ
What This Question Tests
This question tests the ability to find the equation of a tangent to a parabola at a given point and then apply the condition for this line to be tangent to a circle.
Concepts Tested
Formulas Used
Equation of tangent to y^2 = 4ax at (x1, y1): yy1 = 2a(x + x1)
Distance from a point (x0, y0) to line Ax+By+C=0: |Ax0+By0+C| / sqrt(A^2+B^2)
๐ NCERT Sections This Tests
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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.
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
Physics Class 11 ยท Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 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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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
๐ Question Details
- Chapter
- Parabola
- Topic
- Tangent to Parabola and Circle
- Year
- 2021
- Shift
- 31 Aug Shift 2
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
More from this Chapter
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