Class 9

Math

All topics

Coordinate Geometry

Write the on which the given point lies. $(2,0)$

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Point A lies on the line segment PQ joining $P(6,−6)$ and $Q(−4,−1)$ in such a way that $PA/PQ=2/5$. If the point A also lies on the line $3x+k(y+1)=0$, find the value of k.

Find the coordinates of the point equidistant from three given points $A(5,3),B(5,−5)$ and $C(1,−5)$.

If A(1, 2), B(4, 3) and C(6, 6) are the three vertices of a parallelogramABCD, find the coordinates of the fourth vertex D.

Find all possible values of x for which the distance between the points $A(x,−1)$ and $B(5,3)$ is $5$ units.

If $R(x,y)$is a point on the line segment joining the points $P(a,b)andQ(b,a),$then prove that $x+y=a+b$

Show that the following points are collinear.$A(−5,1),B(5,5)$ and $C(10,7)$.

If the points $A(4,3)$ and $B(x,5)$ lie on the circle with centre $O(2,3)$, find the value of x.