XI_Maths_Limits and Derivatives online Test

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variable radii and a fixed centre at (0,1)
variable radii and a fixed centre at (0,-1)
fixed radius 1 and variable centers along the x-axis
fixed radius 1 and variable centers along the y-axis.
The order of the differentiable equation whose general solution is given by y= (C1 +C2) cos (x+C3) –C4ex+c5, where C1, C2, C3, C4, C5 are arbitrary constants, is
5
4
3
2
If x2 + y2 =1, then
yy’’ –2(y’)2 +1=0
yy’’ +(y’)2 +1=0
yy’’ +(y’)2 -1=0
yy’’ +2(y’)2 +1=0
/
 ____.
The derivative of  at x = 2 is ____.
– 3
0
3
Not defined
 ____.
None of the above
If  the value of  is ____.
If  be a homogeneous function of degree  in  then  ____.
None of the above
If  then  ____.
z
2z
0
–z
Description:

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test cosist of questions from Limits and Derivatives which, in general, is focused in AIEEE and IIT JEE. Last year only 2 questions was asked from this chapter in AIEEE. In Limits and Derivatives, Limits and derivatives of trigonometric functions are key topics and mostly application based questions are asked.

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