Let f ( x )= { x }/{\sqrt{ a ^2+ x ^2}}- { d - x }/{\sqrt{ b ^2+( d - x )^2}}, x \in R where a, b and d are non-zero real constants. Then

Correct Answer is : f is an increasing function of x

f^{'} is not a continuous function of x

f is neither increasing nor decreasing function of x

f is an increasing function of x

f is a decreasing function of x

VITEEE 2025 Paper

Question : 85 of 125

Marks: +1, -0

Let f(x)=‌

√a2+x2

−‌

d−x

√b2+(d−x)2

,x∈R where a, b and d are non-zero real constants. Then

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