Category solved model papers

6.B] When a switch is closed in a circuit containing a battery E, a resistance R and an inductance L, the current i build up at a rate given by…

8.C] Find the remainder when 14! is divided by 17 Answer:

6.A] Solve (𝑥2 + 𝑦2 + 𝑥)𝑑𝑥 + 𝑥𝑦𝑑𝑦 = 0

5.C] Solve 𝑥𝑦𝑝2−(𝑥2 + 𝑦2)𝑝+𝑥𝑦 = 0

9.A] Find the rank of the matrix Answer:

5.B] Find the orthogonal trajectories of 𝑥2 /𝑎2 +𝑦2/𝑏2+𝜆= 1, where λ is a parameter.

9.B] Solve the system of equations by Gauss-Jordan method x+y+z+=10, 2x-y+3z=19, x+2y+3z=22. Answer:

5.A] Solve 𝑑𝑦/𝑑𝑥 + 𝑦/𝑥= 𝑥2𝑦6

4.C] If 𝑥 + 𝑦 + 𝑧 = 𝑢, 𝑦 + 𝑧 = 𝑣 𝑎𝑛𝑑 𝑧 = 𝑢𝑣𝑤, find the values of 𝜕(𝑥,𝑦,𝑧)/𝜕(𝑢,𝑣,𝑤).

4.B] If 𝑢 = 𝑓(𝑥 − 𝑦, 𝑦 − 𝑧, 𝑧 − 𝑥) show that 𝜕𝑢/𝜕𝑥 + 𝜕𝑢/𝜕𝑦 +𝜕𝑢/𝜕𝑧 = 0