Question

A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end of the diameter through A is?

A
(xp)2=4qy
B
(xq)2=4py
C
(yp)2=4qx
D
(yq)2=4px

Solution

The correct option is A $$(x-p)^2=4qy$$$$\Rightarrow (h-p)^2+(k-q)=4\left(\dfrac{k+q}{2}\right)^2$$$$=k^2+2kq+q^2$$$$\Rightarrow (x-p)^2=4qy$$.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More