Q75.Let = , where a, b, c are constants. represent a circle passing through the point (2, 5). Then the dx bx+cy+a shortest distance of the point (11, 6) from this circle is (1) 10 (2) 8 (3) 7 (4) 5 dy 2x−y(2y−1)
What This Question Tests
This multi-concept question requires solving an exact differential equation to find the equation of a circle and then calculating the shortest distance from an external point to that circle.
Concepts Tested
Formulas Used
M dx + N dy = 0 is exact if ∂M/∂y = ∂N/∂x
Equation of circle (x-h)² + (y-k)² = r²
Distance formula
📚 NCERT Sections This Tests
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Physics Class 11 · Chapter 8
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Exact Differential Equations
- Year
- 2022
- Shift
- 27 Jun Shift 1
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations; Class 11 Mathematics Ch 11: Conic Sections
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