A right angle triangle ABC having right angle at C, CA = a, CB =b moves such that the angular points A and B slide along x-axis and y-axis respectively. The locus of C is
A
ax+by+1=0
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B
ax±by=0
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C
ax2±2by+y2=0
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D
none of these
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Solution
The correct option is Bax±by=0 Let the point C be (h,K)