Let a ,\ b ,\ c be parameters. Then the ...

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`

Similar Questions

Explore conceptually related problems

If the straight line y = mx +c passes through the points (2,4) and (-3,6) , find the values of m and c .

Find the combined equation of the straight lines passing through the point (1,1) and parallel to the lines represented by the equation . x^2-5xy+4y^2+x+2y-2=0 .

If a, b and c are in AP then the straight lines ax+by+ c =0 will always pass through. …..... .

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

Does (a)/(x-y)+(b)/(y-z)+(c)/(z-x)=0 represents a pair of planes?

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

The equation of second degree x^2+2sqrt2x+2y^2+4x+4sqrt2y+1=0 represents a pair of straight lines.The distance between them is a. 4 b. 4/sqrt3 c. 2 d. 2sqrt3

Let the curve C be the mirror image of the parabola y^2 = 4x with respect to the line x+y+4=0 . If A and B are the points of intersection of C with the line y=-5 , then the distance between A and B is

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

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`

Similar Questions

Recommended Questions