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Q.

The locus of the midpoint of the chords of the hyperbola  passing through a fixed point (α, β) is a hyperbola with centre is ____


Class:                9


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Detailed Solution

Det locus of mid point of chord to be (h, k) equation of chord
Now chord passes through (α, β)
On observing  is the centre
  
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The locus of the midpoint of the chords of the hyperbola  passing through a fixed point (α, β) is a hyperbola with centre is ____Class:                9