## Question

### Solution

Correct option is

c > 1/2 ,        c = 3/4

The slope form of the normal to the curve y2 = 4ax is,

y = mx – 2am – am3                                   …(i)

For the curve given y2 = x, we have

4a = 1 ⇒ a = 1/4

∴ Equation of normal is,

The equation passes through (c, 0) then,

For m = 0, the normal is y = 0 which is the x-axis.

The other two values of m are given by,

If c = 1/2, then m = 0 which is already considered

So,                                     c > 1/2

Now, for the other two normals to be perpendicular to each other, we must have

#### SIMILAR QUESTIONS

Q1

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Q2

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Q3

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Q4

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Q5

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Q7

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Q8

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Q9

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Q10

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