Questions
A line passing through the point P(4, 2), meets the x-axis and y-axis at A and B respectively. If O is the origin, then locus of the centre of the circum circle of OAB is
detailed solution
Correct option is B
Let the coordinates of A and B be (a, 0) and (0, b) respectively. Then, equation of line AB is xa+yb=1Since, it passes through the point P(4, 2)∴4a+2b=1 -----(1)Now, centre of the circumcircle of ∆OAB=a2,b2So, Eq. (1) can be written in the form 2a/2+1b/2=1∴locus of circumcentre is 2x+1y=1 or 2x-1+y-1=1Talk 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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