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Vaibhav Mathur Grade: 12
        

PQ and RS are two perpendicular chord of rectangular hyperbola xy=c^2.If C is the centre of the hyperbola,then the product of the slopes ofCP,CQ,CR and CS is equal to


a. -1


b.0


c.-1


d none

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Let Point P is (ct1,c/t1)


    Point Q is (ct2,c/t2) 


   Point R is (ct3,c/t3) 


   Point S is (ct4,c/t4) 


 


slope of chord PQ is = -1/t1t2


slope of chord RS is  = -1/t3t4


both chord are perpendicular so


  -1/t1t2  X -1/t3t4  =-1


or t1t2t3t4 =-1


now slope of CP =1/t12


now slope of CQ =1/t22


now slope of CR =1/t32


now slope of CS =1/t42


so product of slope =1


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Badiuddin




  

7 years ago
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