k is a nonzero constant. If `k=(a+b)/(ab)` then the straight line `(x)/(a)+(y)/(b)=1` passes through the point

If the line (2+k)x-(2-k)y+(4k+14)=0 passes through the point (-1, 21), find k.

If a,b,c are in H.P., then the straight line (x)/(a) + (y)/(b) + (1)/(c ) = 0 always passes through a fixed point and that point is

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.

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.

If a and b 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 and b 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, h , and k are nonzero constants, and the parabola with equation y=a(x-h)^(2)+k , in the xy-plane, passes through the point (h, 5) and (0, 2) , which of the following must be true ?

A straight line AB intersects the y-axis at B and the perpendicular to AB at B intersects the x-axis at C . If the equation of the straight line AB is (x)/(3)-(y)/(4)=-1 find the coordinates of the points C.

if a and b are two arbitrary constant,then the straight line (a-2b)x+(a+3b)y+3a+4b=0 will pass through: