Questions
If A and B are two fixed points, then the locus of a point which moves in such a way that the angle APB is a right angle, is
a
a circle
b
an ellipse
c
a parabola
d
none of these
detailed solution
Correct option is A
Let A x1 , y1 , B x2 ,y2 be two fixed points andlet P ( h, k ) be a variable point such that ∠APB=π2⋅ Then, Slope of AP× Slope of BP = -1⇒ h−x1h−x2+(k−y/1)k−y2=0Hence, the locus of ( h, k ) is x−x1x−x2+y−y1y−y2=0 which is a circlehaving AB as diameterTalk to our academic expert!
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A line L cuts the sides AB, BC of ABC in the ratio 2 : 5, 7 : 4 respectively. Then the line L cuts CA in the ratio
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