opt maths ( class 10)

which of the following function is transcendental function ?

• y=e^x

• y=sinx

• y=log x

• All of the above.

Under what condition the inverse of function is possible?

• If a given function is a bijective function .

• If a given function is an identity function .

• If a given function is an Injective function .

• If a given function iisa surjective function .

Which domain of the functions betwwen f and g is equal to the domain of the function gof(x)?

• Function f

• Function gof(x)

• Function g

• Function gof(x)

Period of the function y=tanx is .....

• π/2

• 2π.

• π.

• 3π.

If a function is not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extracting a root is called ....

• Trigonometric Function .

• Linesr function

• Transcendental function

• Periodic function

What is the Inverse of the function y=x+3 ?

• y-3

• x+3

• x-3

• None of the above.

If g: A → B and f: B→ C be the two functions then what will denote the composite function from A to C?

• go(x)

• fog(x)

• gof(x)

• gog(x)

What is the maximum value of y=sin x?

• 1

• 10

• o

• -1

Find the odd one :

• Synthetic division is a method to divide a polynomial by a linear expression.

• Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

• if you divide a polynomial, f(x), by a linear expression (x-a) the remainder will be the same as f(a).

• According to remainder theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

If f(x)=m and g(x)=n then what is the value of fog(x)?

• mn

• m

• n

• m+n