A = ( 0 , 0 ) , B = ( 4 , 0 ) and P varies with P A = K PB ( K 0 , K  = 1 ) . Its locus is a circle S , meeting A B at D , E . If a circle with centre ( 3 , 2 ) touches the line A B at D , then E i

Question

A = ( 0 , 0 ) , B = ( 4 , 0 ) and P varies with P A = K PB ( K > 0 , K  = 1 ) . Its locus is a circle S , meeting A B at D , E . If a circle with centre ( 3 , 2 ) touches the line A B at D , then E is

TestHub · Accepted Answer

The separate circle centred at ( 3 , 2 ) touches A B at D = ( 3 , 0 ) . Thus D A / D B = 3 , giving K = 3 . On line A B , the other solution of ∣ x ∣ = 3∣ x − 4∣ is E = ( 6 , 0 ) .

Mathematics - Circle Question with Solution | TestHub

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