Q70.If y + 3x = 0 is the equation of a chord of the circle x2 + y2 −30x = 0 , then the equation of the circle with this chord as diameter is : (1) x2 + y2 + 3x −9y = 0 (2) x2 + y2 −3x + 9y = 0 (3) x2 + y2 + 3x + 9y = 0 (4) x2 + y2 −3x −9y = 0 JEE Main 2015 (10 Apr Online) JEE Main Previous Year Paper
What This Question Tests
This question leverages the concept of a family of circles passing through the intersection of a given circle and a line, with the added condition that the line acts as a diameter for the new circle.
Concepts Tested
Formulas Used
S + λL = 0 (Family of circles)
Standard equation of a circle (x-h)²+(y-k)²=r²
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
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9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
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📋 Question Details
- Chapter
- Circles
- Topic
- Equation of a circle
- Year
- 2015
- Shift
- 10 Apr Online
- Q Number
- Q70
- Type
- Multi concept
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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