Hi Dhaksheina, welcome to SKORA!

## Question:

Find

(i) the value of p,

(ii) the area of the shaded region. [5 marks]

### Solution:

Since I was not given the context of question, I assume that line KL is normal to the curve at A. I had to use the differentiation formula and the use of gradient of normal in order to find the value of p, which is covered under Form 4 syllabus I believe.

I believe the **point A(1,3) is wrong** and should be replaced with **A(1,2) as 1^2+1 = 2.**

**IF you think A(1,3) should be used instead, refer to the answer in black ink.**

However, if you did not change A(1,3) to A(1,2), it is still solvable but answer might be βWrongβ.

Answer for (i) : Value of p

**If A(1,3) is used instead, p will be 7**

Answer for (ii) : Based on **p value of 5.**

**If A(1,3) is used instead, total area of shaded region will be 31/3**

Thanks so much β¦ Really helpful