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Consider a curve ax^2 + 2hxy + by^2-1=0 ...

Consider a curve `ax^2 + 2hxy + by^2-1=0` and a point P not on the curve.A line is drawn from the point P intersects the curve at the point Q and R.If the product PQ.PR is independent of the sIope of the line, then the curve is:

Text Solution

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The given curve is a circle as it is a property of circle if `QR` is a chord from an outside point `P`, then,
`PQ*PR = PT^2,`
where `PT` is the tangent to the circle.
So, we can see that `PQ*PR` is independent of the slope of the line.
So, option `(B)` is the correct option.
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