Tag: introduction to slope

The equation of line passing through $(5,4)$ and $(-9,3)$

The intercepts made by a line on the co-ordinate axes are in the ratio $3:4$

If the coordinates of $\left(x,y\right)$ lie in first quadrant then 

A straight line through the origin 'O' meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points p and q respectively. Then the points o divides the segment PQ in the ratio

Normals are drawn at points $A, B, and C$ on the parabola ${ y }^{ 2 }= { 4x }$ which intersect at P\left( h, k \right)$. The locus of the point $P$ if the slope of the line joining the feet of two of them is $2$, is

Find the slope of $\displaystyle x\cot  \alpha -y\tan \alpha =1$

If a line passes through the point $P(1, 2)$ makes an angle of $45^o$ with the x-axis and meets the line $x+2y-7=0$ in Q, then PQ equals?

Find the equation of a line which makes equal angles with the lines $x+y-2=0$ and $7x-y+4=0$ and passes through $(1, 2)$.

State the following statement is true(T) or false(F).
If two lines intersect at a point P, then P is called the point of concurrent of the two lines.

If $O$ is origin and $C$ is the mid point of $A(2,-1)$ and $B(-4,3)$. Then value of $\overrightarrow { OC } $ is