Q83.A circle passing through the point ππΌ, π½ in the first quadrant touches the two coordinate axes at the points π΄ and π΅. The point π is above the line π΄π΅. The point π on the line segment π΄π΅ is the foot of perpendicular from π on π΄π΅. If ππ is equal to 11 units, then the value of πΌπ½ is _______
What This Question Tests
This problem involves setting up the equation of a circle touching axes, finding the line AB, calculating the distance PQ using the given point P and the line AB, and then solving for the product Ξ±Ξ².
Concepts Tested
Formulas Used
Equation of circle (x-r)^2 + (y-r)^2 = r^2
Distance from point (x0, y0) to line Ax+By+C=0 is |Ax0+By0+C|/β(A^2+B^2)
π NCERT Sections This Tests
2.2 β A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 Β· 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.
2.1 β Two Charges 5 Γ 10β8 C And β3 Γ 10β8 C Are Located 16 Cm Apart. At
Physics Class 11 Β· Chapter 2
2.1 Two charges 5 Γ 10β8 C and β3 Γ 10β8 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.
2.3 β Two Charges 2 Mc And β2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 Β· Chapter 2
2.3 Two charges 2 mC and β2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
π Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2023
- Shift
- 06 Apr Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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