All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Equation of tangent:

(ii)

Tangent at P:

Tangent at Q:

Since ,

(iii)

Equating the equations of both C and L,

let ,

Using GC,

(iv)

### KS Comments:

This question is not difficult. The only problem I noticed is that students were panicking by the time they reached this question, partly due to the heavy weightage of this question. But panicking caused them to make further mistakes.

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