CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

## (a) e (y-x) Β  Β  Β (b) e (x+y) (c) -e (y-x) Β  Β  (d) 2 e (x-y)

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Question 12 if π^π₯+ π^π¦=π^(π₯+π¦), π‘βππ ππ¦/ππ₯ is : (a) π^(π¦βπ₯) (b) π^(π₯+π¦) (c) γβπγ^(π¦βπ₯) (d) 2 π^(π₯βπ¦) Given π^π₯+π^π¦=π^(π₯ + π¦) π^π₯+π^π¦=π^π₯.π^π¦ Dividing by π^π.π^π both sides π^π/(π^π π^π )+π^π/(π^π π^π )=(π^π π^π)/(π^π π^π ) 1/π^π¦ +1/π^π₯ =1 π^(βπ)+π^(βπ)=π Differentiating both sides w.r.t x π(π^(βπ) )/ππ+π(π^(βπ) )/ππ=π(π)/ππ π^(βπ).(π(βπ))/ππβπ^(βπ)=π βπ^(βπ¦).ππ¦/ππ₯βπ^(βπ₯)=0 βπ^(βπ¦).ππ¦/ππ₯=π^(βπ₯) ππ/ππ=π^(βπ)/(βπ^(βπ) ) ππ¦/ππ₯=βπ^(βπ₯β(βπ¦)) ππ¦/ππ₯=βπ^(βπ₯ + π¦) ππ/ππ=βπ^(π β π) So, the correct answer is (c)