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

Statement-1: 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. Statement-2: The equation ax+by+c=0 represents a family of straight lines passing through a fixed point iff there is a linear relation between a, b and c.

Statement - 1 : If non-zero numbers a , b , c are in H.P. , then the equation (x)/(a) + (y)/(b) = (1)/(c) represents a family of concurrent lines . Statement- 2 : A linear equation px + qy = 1 in x , y represents a family of straight lines passing through a fixed point iff there is a linear relation between p and q .

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 .

Find the equation of the straight lines passing through the following pair of point: (a , b)a n d\ (a+b ,\ a-b)

If a ,b ,c are variables such that 3a+2b+4c=0 , then show that the family of lines givenby a x+b y+c=0 pass through a fixed point. Also, find that 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.

Find the equation of the straight line passing through the origin and bisecting the portion of the line a x+b y+c=0 intercepted between the coordinate axes.

The equation x^2+y^2+2x-4y+5=0 represents a. a point b. a pair of straight lines c. a circle of non zero radius d. none of these

If a + 2b + 3c = 0 " then " a/3+(2b)/3+c=0 and comparing with line ax + by + c, we get x = 1/3 & y = 2/ 3 so there will be a point (1/3,2/3) from where each of the lines of the form ax + by + c = 0 will pass for the given relation between a,b,c . We can say if there exists a linear relation between a,b,c then the family of straight lines of the form of ax + by +c pass through a fixed point . If a , b, c are consecutive odd integers then the line ax + by + c = 0 will pass through

If a + 2b + 3c = 0 " then " a/3+(2b)/3+c=0 and comparing with line ax + by + c, we get x = 1/3 & y = 2/ 3 so there will be a point (1/3,2/3) from where each of the lines of the form ax + by + c = 0 will pass for the given relation between a,b,c . We can say if there exists a linear relation between a,b,c then the family of straight lines of the form of ax + by +c pass through a fixed point . If a , b,c are in A.P., then the line ax + 2by + c = 0 passes through