Maharashtra Board Solutions for Chapter: Co-Ordinate Geometry, Exercise 3: Practice set 5.3

Angles made by the line with the positive direction of $\mathrm{X}-$ axis is $60°$. If the slope of the line is $\sqrt{k}$ then find the value of $k$.

Find the slope of the line passing through the given points.

$C(5,-2), D(7,3)$

Find the slope of the line passing through the given points.

$\mathrm{L}(-2,-3), \mathrm{M}(-6,-8)$

Find the slope of the line passing through the given points.

$E(-4,-2), F(6,3)$

Find the slope of the line passing through the points $T(0,-3), S(0,4)$. [Zero / One / Two / Infinity]

Find $\mathrm{k},$ if $\mathrm{R}(1,-1), \mathrm{S}(-2, \mathrm{k})$ and slope of line $\mathrm{RS}$ is -2.

Find $\mathrm{k},$ if $\mathrm{B}(\mathrm{k},-5), \mathrm{C}(1, 2)$ and slope of the line is 7.

Find $\mathrm{k},$ if $\mathrm{PQ}\Vert \mathrm{RS}$ and $\mathrm{P}(2,4), \mathrm{Q}(3,6), \mathrm{R}(3,1), \mathrm{S}(5,\mathrm{k})$.