Tag: maths

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

If an triangle ABC, A = {1, 10}, circumference = $\left( -\dfrac { 1 }{ 3 } ,\dfrac { 2 }{ 3 }  \right) $ and orthocenter = $\left( \dfrac { 11 }{ 3 } ,\dfrac { 4 }{ 3 }  \right) $ then the co-ordinate of mid-point of side opposite to A is ________.

The coordinates of the middle point of the chord of circle ${ x }^{ 2 }+{ y }^{ 2 }-6x=2y-54=0$ which is cut off by the line $2x-5y+18=0$ are __________.

The point on X-axis which is equidistant from the point (3, 5) and (4, 2)

If $A(a, b)$ and $B(0, 0)$ are two fixed points. $M _1$ is the mid point of $\overline{AB}$, $M _2$ is the mid point of $\overline{AM _1}$, $M _3$ is the mid point of $\overline{AM _2}$ and so on, then $M _5$ is?