If a and b are two arbitray constants, then prove that the straight line (a-2b)x+(a+3b)y+3a+4b=0 will pass through a fixed. Find that point.

If aa n db are two arbitrary constants, then prove that the straight line (a-2b)x+(a+3b)y+3a+4b=0 will pass through a fixed point. Find that 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.

Let a x+b y+c=0 be a variable straight line, where a , ba n dc are the 1st, 3rd, and 7th terms of an increasing AP, respectively. Then prove that the variable straight line always passes through a fixed point. Find that point.

Show that the straight lines given by x(a+2b)+y(a+3b)=a for different values of aa n db pass through a fixed point.

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

Show that the straight lines given by x(a+2b)+y(a+3b)=a+b for different values of a and b pass through a fixed point.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that 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.

If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line ax+by+c=0 passes through a fixed point

Let l be the line belonging to the family of straight lines (a + 2b)x+ (a - 3b)y +a-8b = 0, a, b in R , which is farthest from the point (2, 2), then area enclosed by the line L and the coordinate axes is