{\Assertion}(A) : If y=f(x)=(|x|-|x-1|)^2, then (\frac{d y}{d x}) _{x=1}=1 Reason (R) : If \lim_{x \rightarrow a} \frac{f(x)-f(a)}{x-a} exist, then it is called derivative of {\f}( {\x}) at x=a. Then [AP EAPCET 22 May 2025 S1]

Correct Answer is : (A) is false, (R) is true

(A) is true, (R) is true, (R) is correct explanation to (A)

(A) is true, (R) is true, (R) is not the correct explanation to (A)

AP EAPCET 22 May 2025 Shift 1 Paper

Section: Mathematics

Question : 63 of 160

Marks: +1, -0

Assertion(A) : If y=f(x)=(|x|−|x−1|)2, then (‌

)x=1=1
Reason (R) : If

lim

x⟶a

‌

f(x)−f(a)

x−a

exist, then it is called derivative of f(x) at x=a.
Then

[AP EAPCET 22 May 2025 S1]

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