Question

Factorise completely x²-y²+6x+8y-7=0 and find x²-y​

Answer 1

Answer:

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Correct option is

A

x2+y2−5x−9y+26=0

Centre of (x2+y2−6x−8y−7=0)=(3,4)

Centre of (x2+y2−4x−10y−3=0)=(2,5)

Equation of circle with (3,4) & (2,5) as ends of diameter

⇒(y−4)(x−3)+(y−5)(x−2)=0

⇒y2−9y+20+x2−5x+6=0

x2+y2−5x−9y+26=0