The line, among the following, that touches the parabola y2 = 4ax is [EAMCET 2005] 1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =

Question

ROSHAN MUJEEB · Answer

DEAR STUDENT
We can write lx + my + n = 0 in the form of y = Mx + c

So, my = -lx - n
y = -lx/m - n/m

Comparing with y = Mx + c,
M = -l/m
c = -n/m

We know that c = a/M
Mc = a

Putting the values of M and c,
-l/m x - n/m = a
ln/m^2 = a
ln = am^2

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The line, among the following, that touches the parabola y2 = 4ax is [EAMCET 2005] 1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =

The line, among the following, that touches the parabola y2
= 4ax is [EAMCET 2005]
1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =

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The line, among the following, that touches the parabola y2 = 4ax is [EAMCET 2005] 1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =

The line, among the following, that touches the parabola y2 = 4ax is [EAMCET 2005] 1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =

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The line, among the following, that touches the parabola y2
= 4ax is [EAMCET 2005]
1) 3 x my am 0 ++ = 2) 2 x my am 0 −+ = 3) 2 x my am 0 + − = 4) 2 y mx am 0 ++ =