Let AB be a line segment of length 4 with A on the line `y=2x and B` on the line `y=x`. Determine the locus of the mid-points of all such line segments.

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

Let AB be a line segment of length 4 with A on the line y = 2x and B on the line y = x . The locus of the middle point of the line segment is

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the mid point of the line segment AP is

If the extremities of a line segment of length l moves in two fixed perpendicular straight lines, then the locus of the point which divides this line segment in the ratio 1 : 2 is-

A straight line segment of length/moves with its ends on two mutually perpendicular lines. Find the locus of the point which divides the line segment in the ratio 1:2

A line intesects the ellipse (x^(2))/(4a^(2))+(y^(2))/(a^(2))=1 at A and B and the parabola y^(2)=4a(x+2a) at C and D. The line segment AB substends a right angle at the centre of the ellipse. Then, the locus of the point of intersection of tangents to the parabola at C and D, is

Find the length of intercepts cuts on axes from the line x sin alpha+y cos alpha=sin2alpha and the co-ordinates of the mid-point of the line segment lies between the axes.

Plot the points A(1,-1) and B(4,5). (i) Draw the line segment joining these points. Write the coordinates of a point on this line segment between the points A and B. (ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.

A straight line through the point (1,1) meets the X-axis at A and Y-axis at B. The locus of the mid-point of AB is