# IIT JEE / PMT Test Series : Module 5 : +2 Mathematics : Application of Derivatives

Normal type of MCQ with one correct option Every continuous function is
increasing
decreasing
not differentiable
differentiable
/
strict increasing
strict decreasing
neither increasing nor decreasing
differentiable nowhere
Normal type of MCQ with one correct option Rolle’s Theorem is not applicable to the function ( (x) = | x | for (2 ( x ( 2 because
( (x) is continuous for ( 2 ( x ( 2
( (x) is not derivable for x = 0
( ((2) = ((2)
none of these.
Normal type of MCQ with one correct option The function ( (x) = x2 has a stationary point at

A,B
B
D
A,B & D
Comprehension The parameter equation of given curve are x=a(2cost+cos2t), y=a(2sint-sin2t). The equation of tangent at any point ‘t’ is
Comprehension The parameter equation of given curve are x= a(2cost+cos2t), y=a(2sint-sin2t). The equation of normal at any point ‘t’ is
Comprehension The parameter equation of given curve are x= a(2cost+cos2t), y=a(2sint-sin2t). The length of sub tangent at any point ‘t’ is
|y tant|
|y cot|
|ycot(t/2)|
|ycot t/2|

Both A and R are true and R is correct explanation of A
Both A and R are true and R is not correct explanation of A
A is true, R is false
A is false, R is true

Description:

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