Q85.The sum of diameters of the circles that touch (i) the parabola 75๐ฅ2 = 645๐ฆ- 3 at the point 5, 5 and (ii) the ๐ฆ- axis, is equal to _____ .
What This Question Tests
This is a multi-concept problem requiring the use of properties of parabolas and circles, specifically finding the tangent to a parabola, formulating the equation of a circle based on tangency conditions, and handling multiple solutions.
Concepts Tested
Formulas Used
Equation of tangent to parabola y^2=4ax at (x1, y1) is yy1=2a(x+x1)
Equation of circle touching line L=0 at (x1,y1) is (x-x1)^2 + (y-y1)^2 + lambda*L = 0
Distance from center to y-axis = radius
๐ NCERT Sections This Tests
6.11 โ Dynamics Of Rotational
Physics Class 11 ยท Chapter 6
6.11 Dynamics of rotational the motion of extended bodies. motion about a fixed axis A large class of problems with extended bodies can be
5.11 โ Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 ยท Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
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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.
๐ Question Details
- Chapter
- Circles
- Topic
- Equation of circle
- Year
- 2022
- Shift
- 25 Jul Shift 1
- Q Number
- Q85
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections; Class 11 Mathematics Ch 10: Straight Lines
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