Show that the circle with the portion of...

Show that the circle with the portion of the line 3x + 4y = 12 intercepted between the axes as diameter passes through the origin.

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Two straight lines , drawn through the origin , trisect the portion of the line 4x+3y=12 intercepted between the axes. Find the equations of the straight lines.

Find the condition in a,b such that the portion of the line ax+by=1, intercepted between the lines ax+y=0 and x + by=0 sustains a right angle at origin.

A moving st.line always passes through a fixed pt. (alpha,beta) .Prove that the locus of the middle point of the portion of the line intercepted between the axes is alpha/x+beta/y=2

If a straight line passes through the point (alpha ,beta) and the portion of the line intercepted between the axes is divided equally at that point, them frac(x)(alpha)+frac(y)(beta) is

Find the locus of the mid - point of the portion of the line x cos alpha + y sin alpha = 4 intercepted between the axes of coordinates .

If a straight line passes through the point (alpha , beta) and the portion of the line intercepted between the axes is divided equally at that point , then (x)/(alpha) + (y)/(beta) is _

A moving straight line always passes through the point (h,k) . Prove that the locus of the middle point of the portion of the straight line intercepted between the axes of coordinates is , (h)/(x)+(k)/(y)=2 .

A moving straight line always passes through a fixed point (alpha,beta) .Prove that the locus of the middile point of the portion of the line intercepted between the axes is alpha/x+beta/y=2

A moving straight line always passes through a fixed point (alpha , beta) . Prove that the locus of the middle point of the portion of the line intercepted between the axes is (alpha)/(x)+(beta)/(y) = 2 .

The sum of the intercepts cut off from the coordinate axes by a variable line is 14 units . Find the locus of the point which divides internally the portion of the line intercepted between the coordinate axes in the ratio 3:4 .

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