Question

hey mates
.....
....
....
Try Jee Advanced 2018 Question

Answer 1

Answer:

Step-by-step explanation:

Option A,B,D are correct.

Try to assume a function which satisfies the given functional equation.

We see f(x)=sin(✓85x) satisfies the equation.

Now,since f(x) won't be constant and will increase with increase in domain, hence it is one-to-one.

So,A is correct.

Lagrange mean value theorem is applied.

We find that for the assumed function,|f'(xo)|≤1

So,B is correct.

When,x tends to infinity domain gets undefined,so limit doesn't exist.So,C is incorrect.

Now, assume g(x)=The functional equation.

As it is given domain is from -2 to 2,so f(x)≤2

And we got from option B,f'(x)≤1

So,there exists a point alpha,where Maxima exists,so g'(alpha)=0.

From that,we get option D.

Hope you understood :relaxed:

Ask if you are not getting.

Answer 2

Answer:

sory I need answers mods please don't delete answer ... please please