Questions
From a point P, perpendiculars PM and PN are drawn to x and y axes, respectively. If MN passes through fixed point (a,b), then locus of P is
a
xy=ax+by
b
xy=ab
c
xy=bx+ay
d
x+y=xy
detailed solution
Correct option is C
Let Ph,kSo, points M and N are h,0 and 0,k, respectively.MN passes through the point Qa,b∴ So, M,N and Q are collinear.∴ −kh=b−0a−h∴ ak−hk=−bhso locus is bx+ay=xyTalk to our academic expert!
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The vertices of a variable triangle are , and where The locus of its orthocenter is
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