A rod of length 12 cm moves with its ends always touching the coo | Filo
filo Logodropdown-logo

Class 11

Math

Co-ordinate Geometry

Conic Sections

view icon692
like icon150

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x–axis.

Solution: Solution: Let is the rod with length cm. and is any point such that,
cm and cm
we can draw perpendiculars from to X-axis and Y-axis at point and respectively.
Then, and
Please refer to video forthe diagram.
Now, in ,


Now, in ,


Now, squaring and adding (1) and (2),


,which is the required equation.
view icon692
like icon150
filo banner image

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

playstore logoplaystore logo
Similar Topics
conic sections
straight lines
matrices
the straight lines
hyperbola