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

Is line a part of line segments ?

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-

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4 . Then the equation to the locus of the middle point of the chord of contact 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

If the mid-point of the segment joining the points A(3,4) and B(k,6) is (x,y) and x + y = 10, find the value of k and the length of the line segment AB.

Draw a perpendicular to a given line segment though a point K on the line segment .

Draw a perpendicular to a given line segment though a point R on the line segment .

Area of the parabolic segment cut by the straight line y = 2 x + 3 off the parabola y = x^(2) is