Class XI Maths Sets, Relations and Functions 8

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Question 1

The period of the function sin⁴x+cos⁴x is

• Aπ
• Bπ/2
• C2π
• DNone of these

Question 2

If f(x) is odd periodic with period 2 then f(4)=

• A1
• B0
• C2
• D4

Question 3

Solution to the equation 4{x} = x + [x] is

• A{1,2}
• B{5/3,0}
• C{2/3,0}
• D{4/3,5/3}

Question 4

Let f(x)=cos √px where p=[a].Period of f is then

• Aa[2,3)
• Ba[4,5)
• Ca[3,4)
• DNone of these

Question 5

f(x)= , g(x) = x² + 1 then range of fog is

• A[1,
• B[2,)
• C[1,2]
• D(-)

Question 6

f(x)=√x and g(x) = x² - 1 then the range of fog is

• A[0,)
• B[1,)
• C[-1,)
• DNone of these

Question 7

Let f and g be functions such that f(x)+g(x)=e^x, f(x) - g(x)=e^-x then

• Af is odd, g is odd
• Bf is odd, g is even
• Cf is even, g is odd
• Df is even, g is even

Question 8

f(x) = sin x, g(x) =ln x the range of fog is

• A[-1,1]
• B(0,)
• C(-,0)
• D(,)

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