Eamcet - Maths - Partial Differentiation Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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   Time Left : 00 : 30    : 00

If r2=(x-a)2+(y-b)2 then rxx+ryy=





If u=3(lx+my+nz)2-(x2+y2+z2) and l2+m2+n2=1 then uxx+uyy+uzz=





If u=(ax+by)2-(x2+y2) and a2+b2=1 then uxx+uyy=





If f(x,y)=x2Tan-1(y/x)-y2 Tan-1(x/y),x≠0,y≠0 then fxy=





If u=(y+sin x)3+(y-sin x)2,then uxx=





If V is the volume of a rectangular box with edges x,y,z then Vxyz=





If V=πr2h then rVr+2hVh=





If z(x,y) is the implicit function defined by x3+y3+z3=3xyz then xzx+yzy=





If f(x,y)=xy+(1/x)+(1/y) then fxx?fyy-fxy2 at (1,1) is





If f(x,y,z)=√(yz)+ √(zx)+ √(xy) then xfx+yfy+zfz=





If Z=1n(1+xr+yr) then Zxy=





If u=x2+y2+z2,x=et,y=et sin t,z=et cos t then du/dt=





If u3(1+a3)=8(x+ay+b)3 then u3x+u3y=





If au+b=a2x+y then uxuy=





If f=x2yz+y2zx+z2xy then fxyz=





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