Tag: constructions

If $A=(1, 2, 3)$ and $B(3, 5, 7)$ and P, Q are the points on AB such that AP$=$PQ$\neq$QB, then the mid point of PQ is?

The locus of the mid-point of a chord of the circle ${ x }^{ 2 }+{ y }^{ 2 }=4$ which subtends a right angle at the origin, is

The locus of the mid-point of that chord of parabola which subtends right angle on the vertex will be :

The locus of the mid-point of that chord of parabola which subtends right angle on the vertex will be

The locus of the middle points of chords of length $4$ on the circle $x^ {2}+y^ {2}=16$

If the coordinates of the mid-points of side $AB$ and $AC$ of $\triangle ABC$ are $D(3,5)$ and $E(-3,-3)$ respectively, the $BC=$

Find a point on the y-axis which equidistant from the points $A(6,5)$ and $B(-4,3)$

If $(-6,-4)$ and $(3,5)$ are the extremities of the diagonals of a parallelogram and $(-2,1)$ is its third vertex, then its fourth vertex is 

The mid point of the line joining the points  $\left( \log _ { 2 }  8 , \log _ { 4 }  16 \right)$  and  $\left( \sin 90 ^ { \circ } , \cos \theta \right)$  is

A (a,b) and (0,0) are two fixed points, ${ M } _{ 1 }$ is the mid points of AB, ${ M } _{ 2 }$ is the midpoint of $A{ M } _{ 1 },{ M } _{ 3 }$ is the midpoint of $A{ M } _{ 2 }$ and so on then ${ M } _{ 5 }$ =in