Neha Tyagi and Amit Rastogi Solutions for Chapter: Coordinate Geometry, Exercise 1: Exercise

If $P(\frac{a}{3},4)$ is the mid-point of the line segment joining the points $Q(-6,5)$ and $R(-2,3)$, then the value of $a$ is

The perpendicular bisector of the line segment joining the points $A\left(1, 5\right)$ and $B\left(4, 6\right)$ cuts the Y-axis at

The coordinates of the point which is equidistant from the three vertices of the $\Delta AOB$ as shown in the figure is

If a circle drawn with origin as the centre passes through $\left(\frac{13}{2}, 0\right)$, then the point which does not lie in the interior of the circle is

A line intersects the $Y-$axis and $X-$axis at the points $P$and $Q$ respectively. If $\left(2,-5\right)$ is the mid-point of $PQ$, then the coordinates of $P$and $Q$respectively are

The area of a triangle with vertices $\left(a, b +c\right), \left(b, c+a\right)$ and $\left(c, a+b\right)$ is

If the distance between the points $\left(4, p\right)$ and $\left(1, 0\right)$ is $5$, then the value of $p$is

If the points $A\left(1, 2\right),B\left(0, 0\right)$ and $C\left(a, b\right)$ are collinear, then