R. D. Sharma Solutions for Chapter: Co-Ordinate Geometry, Exercise 7: MULTIPLE CHOICE QUESTIONS (MCQs)

If $x$ is a positive integer such that the distance between points $\mathrm{P}\left(x, 2\right) \text{and} \mathrm{Q}\left(3, -6\right)$ is $10$ units, then $x=$

The distance between the points $(\mathrm{acos} \mathrm{\theta }+\mathrm{bsin} \mathrm{\theta }, 0)$ and $(0, \mathrm{asin} \mathrm{\theta }-\mathrm{bcos} \mathrm{\theta })$ is

If $\mathrm{A}(4, 9), \mathrm{B}(2, 3)$ and $\mathrm{C}(6, 5)$ are the vertices of $\mathrm{\Delta ABC}$, then the length of the median through $\mathrm{C}$is

If $\mathrm{P}(2,4), \mathrm{Q}(0,3), \mathrm{R}(3,6)$ and $\mathrm{S}(5,y)$ are the vertices of a parallelogram $\mathrm{PQRS}$, then the value of $y$is

If $A(x,2), B(-3,-4)$ and $C(7,-5)$ are collinear, then the value of $x$is

 The perimeter of a triangle with vertices $(0, 3), (0, 0)$ and $(3,0)$ is

If the point $P(2,1)$ lies on the line segment joining points $A\left(4,2\right)$ and $B(8,4)$, then

A line intersects the $y$-axis and $x$-axis at $\mathrm{P}$and $\mathrm{Q}$, respectively. If $(2,-5)$ is the mid-point of $\mathrm{PQ}$, then the coordinates of $\mathrm{P}$ and $\mathrm{Q}$are respectively.