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Solution :

m=3<br>
`tantheta=|(m_1-m_2)/(1+m_1m_2)|`<br>
`1=|(3-m)/(1+3m)|`<br>
after solving this<br>
`m=1/2,-2`<br>
`y^2=8x`<br>
after diff, with respect to x<br>
`2yy'=8`<br>
`y'=4/y`<br>
If`4/y=1/2`<br>
`y=8`<br>
`x=8`<br>
if`4/y=-2`<br>
`y=-2`<br>
`x=1/2`<br>
correct option is 2nd.
**Theorem :-Every first degree equation in x,y represents a straight line.**

**Find the slope of a line when two points having coordinates are given ?**

**Find the slope of a line having equation of the form `ax+by+c=0`**

**Find the angles between two lines .**

**Examples :(i) Let A(6,4) and B(2,12) be two given points.Find the slope of the line perpendicular to AB. (ii) If line `3x-ay-1=0` is parallel to the line `(a-2)x-y+3=0` then find the values of a.**

**Condition for the parallelism of two lines.**

**Condition for Perpendicularity of two lines .**

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**Equation of line parallel to x and y axis**

**Slope-intercept form of a line**