@AshWin bro 54th question is quite direct…

Just use the condition of y=x and differentiate the equation of circle twice…

Should i send the solution??

Thanks bro , I got it now .

Idk why test mein nahi hua.

For the prism question… Is the answer 2??

Yes , i got it ,i made a mistake in calc the sign of dr/dn , for first refraction it is coming -1/3 , i actually calc it as 1/3 due to silly mistake hence was getting 0 as the answer

I didn’t get - 1/3 anywhere in my solution… … I think you solved it using some other method…

I used snells laws and diff it ( one time for ray coming in and one for ray going out ) share your approach too

I almost did the same…

I added the 2 equations and then differentiated it…

Thats better , when calc separately , i did sign mistakes.

Anymore doubts??

I will be posting from fiitjee tests , but the test pdf is in pc . RN Study ko ja raha hu , evening tak bhejta.

Fiitjee CRT tests?

I think the first Q is wrong , i feel something is wrong in it, please confirm.

@Aastik_Guru @Abhinav.08 @Amish_1706 @Navjeet_Kohli @manan_uppadhyay

Yes i also felt something is wrong with the question.

I wasnt able to form the equation , if i satisfy one condition , the other was not satisfied.

try karta hu abhi

Couldnt do.

i am getting 4/5…