Q88.Let the normals at all the points on a given curve pass through a fixed point (a, b). If the curve passes through a −2√2 b = 3 , then (a2 + b2 + ab) is equal to _____. (3, −3) and (4, −2√2), given that
What This Question Tests
This problem states that all normals pass through a fixed point, which implies the curve is a circle. It tests the ability to recognize this geometric property and use the given points to find the circle's parameters and the fixed point.
Concepts Tested
Formulas Used
y - Y = (-1/m_t)(x - X)
(x-a)^2 + (y-b)^2 = r^2
📚 NCERT Sections This Tests
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2.3 Two charges 2 mC and –2 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?
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Normal to a curve
- Year
- 2021
- Shift
- 26 Feb Shift 2
- Q Number
- Q88
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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