If a, b, c are in AP then ax + by + c = 0 will always pass through a fixed point whose coordinates are

If a, b, c are in AP then ax + by +c=0 represents

If two normals to a parabola y^2 = 4ax intersect at right angles then the chord joining their feet pass through a fixed point whose co-ordinates are:

Circle are drawn on the chords of the rectangular hyperbola x y=4 parallel to the line y=x as diameters. All such circles pass through two fixed points whose coordinates are (2,2) (b) (2,-2) (c) (-2,2) (d) (-2,-2)

The lines (a +2b)x +(a – 3b)y= a - b for different values of a and b pass through the fixed point whose coordinates are

If non-zero numbers a, b, c are in H.P., then the straight line (x)/(a)+(y)/(b)+(1)/(c)=0 always passes through a fixed point. That point is

If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+c-1=0 always passes through a fixed point.

If a , b ,c are in harmonic progression, then the straight line ((x/a))+(y/b)+(1/c)=0 always passes through a fixed point. Find that point.

A ray of light passing through the point A(2, 3) reflected at a point B on line x + y = 0 and then passes through (5, 3). Then the coordinates of B are

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

Tangents are drawn from the points on the line x-y-5=0 to x^2+4y^2=4 . Then all the chords of contact pass through a fixed point. Find the coordinates.