Consider the equation y-y1=m(x-x1) . If ...

Consider the equation `y-y_1=m(x-x_1)` . If `ma n dx_1` are fixed and different lines are drawn for different values of `y_1,` then (a)the lines will pass through a fixed point (b)there will be a set of parallel lines (c)all the lines intersect the line `x=x_1` (d)all the lines will be parallel to the line `y=x_1`

Similar Questions

Explore conceptually related problems

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.

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.

The lines (a +2b)x +(a – 3b)y= a - b for different values of a and b pass through the fixed point whose coordinates are

Find the equation of a straight line through the intersection of lines 7x+3y=10, 5x-4y=1 and parallel to the lines 13x+5y+12=0 .

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=0

Find the equations of the tangents to the curve y=(x+1)/(x-1) which are parallel to the line x + 2y = 6.

Find the equation of a line through (-1,3)parallel to the line x-2y+5=0

Equation of line passing through A(1,0,3), intersecting the line (x/2=(y-1)/3=(z-2)/1) and parallel to the plane x+y+z=2 is