The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meets at axis - Maths - Conic Sections

Question

The tangent PT and the normal PN to the parabola y^2=4ax at a point
P on it meets at axis at points T and N respectively The locus of
centriod of the triangle PTN is a parabola whose
A)vertex is (2a/3,0) , (7,0)
B)directrix is x=0
C)latus rectum is 2a/3
D)focus is (a,0)

Lovina Kansal · Accepted Answer

The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meets at axis at points T and N respectively. The locus of centriod of the triangle PTN is a parabola whose A)vertex is (2a/3,0) , (7,0) B)directrix is x=0 C)latus rectum is 2a/3 D)focus is (a,0)

The tangent PT and the normal PN to the parabola y^2=4ax at a point P on it meets at axis at points T and N respectively. The locus of centriod of the triangle PTN is a parabola whose
A)vertex is (2a/3,0) , (7,0)
B)directrix is x=0
C)latus rectum is 2a/3
D)focus is (a,0)