True or False :
The equation `ax + by + c = 0`,`a^2 + b^2 ne0` always represents a straight line.

Show that the equation lx+ my = 1(l ne 0,m ne 0) represents a straight line.

True or false: The differential equation (d^2x)/(dy^2)=0 represents a family of straight line.

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

True or False : The determinant of a skew-symmetric matrix is always 0.

If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

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 a and b be non-zero real numbers. Then the equation : (ax^2 + by^2 + c)(x^2 - 5xy + 6y^2) = 0 represents :

For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at the point