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Solution :

`x^2=4by`<br>
after diff, with respect to x<br>
`2x=4by'`<br>
`y'=x/(2b)`<br>
`m_n=-1/y'=(-2b)/x=-1/t`<br>
Equation<br>
`(y-bt^2)=-1/t(x-2bt)`<br>
`y=-x/t+2b+bt^2-(1)`<br>
equation 1 is tangent to `y^2=4ax`<br>
`y=mx+a/m`<br>
`2b+bt^2=a/(-1/t)`<br>
`bt^2-at+2b=0`<br>
for real roots D>0<br>
`a^2-4((2b)*b>0`<br>
`a^2>8b^2`<br>
option 3 is correct.**Conic section introduction**

**Condition to represent pair of lines circle and conic**

**Analytical definition of parabola**

**Equation of parabola in its standard form**

**Various results of standard equation of parabola**

**Tabular representation of all standard forms of parabolas**

**Parabola with axis parallel to coordinate axis**

**Position of point with respect to parabola `y^2=4ax`**

**Parabolic curve **

**What is focal Chord and If the chord joining P`(a(t_1)^2;2at_1)` and Q `(at_2^2;2at_2)` is the focal chord ; then `t_1t_2=-1`**