If ` 3a + 2b + 6c = 0 ` the family of straight lines `ax+by = c = 0 ` passes through a fixed point . Find the coordinates of fixed point .

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

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 co-ordinates of the point.

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.

Find the gradient of a straight line which is passes through the point (-3. 6) and the mid point of (4,-5) and (-2, 9)

Prove that all lines represented by the equation (2 cos theta + 3 sin theta ) x + (3 cos theta - 5 sin theta ) y = 5 cos theta - 2 sin theta pass through a fixed point for all theta What are the coordinates of this fixed point ?

Let a ,\ b ,\ c be parameters. Then the equation a x+b y+c=0 will represent a family of straight lines passing through a fixed point iff there exists a linear relation between a , b ,\ a n d\ c dot

Let the algebraic sum of the perpendicular distance from the points (2, 0), (0,2), and (1, 1) to a variable straight line be zero. Then the line passes through a 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 :

The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts orthogonally x^2 + y^2=4 . Show that circle S=0 passes through two fixed points & find their coordinates.

A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.