Chord joining two distinct points P`(alpha^2,k_1)` and Q`(k_2,-16/alpha)` on the parabola `y^2=16x` always passes through a fixed point. Find the co-ordinate of fixed point.

Chord joining two distinct point P(a, 4b) and Q(c, -(16)/(b)) (both are variable points) on the parabola y^(2)=16x always passes through a fixed point (alpha, beta) . Then, which of the following statements is correct?

Chord joining two distinct point P(a, 4b) and Q(c, -(16)/(b)) (both are variable points) on the parabola y^(2)=16x always passes through a fixed point (alpha, beta) . Then, which of the following statements is correct?

Show that the straight line (a+2b)x+(a-3b)y+b-a=0 always passes through a fixed point , find the cootdinates of that fixed point.

Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always passes through a fixed point. Find the co-ordinate of that point.

If a + 2b + 3c = 0, the family of straight lines ax + by + c = 0 passes through a fixed point, find the co-ordinates of fixed point.

If a, b, c are in A. P., then st. line ax+by+c=0 will always pass through a fixed point whose co-ordinates are:

Show that the equation (3-2k) x-(2+k)y=5-k, where k is real represents a family of lines all passing through a fixed point. Find the co-ordinates of this fixed point.

Find the normal to the curve x=a(1+cos theta),y=a sin theta at theta. Prove that it always passes through a fixed point and find that fixed point.

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is