Important Questions of Relations and Functions Mathematics | Zigya

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51.

Consider the curves

fx = xx - 1 and gx = 3x2, x > 02x,   x  0

Where do the curves intersect ?

  • At (2, 3) only

  • At ( - 1, - 2) only

  • At (2, 3) and ( - 1, 2)

  • Neither at (2, 3) nor at ( - 1,  - 2)


52.

Consider the function fx = 27x23 - x4

How may solutions does the function f(x) = 1 have ?

  • one

  • Two

  • Three

  • Four


53.

Consider the function fx = 27x23 - x4

How may solutions does the function f(x) = - 1 have ?

  • one

  • two

  • three

  • four


54.

Suppose there is a relation * between the positive numbers x and y given by x * y if and only if x  y2. Then which one of the following is correct ?

  • * is reflexive hut not 'transitive and symmetric

  • * is transitive but not reflexive and symmetric

  • * is symmetric and relexive but not transitive

  • * is symmetric but not reflexive and transitive


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55.

If fx1 - fx2 = fx1 - x21 - x1x2for x1, x2   - 1, 1, then what is fx = ?

  • ln1 - x1 +x

  • ln2 + x1 - x

  • tan-11 - x1 + x

  • tan-11 + x1 - x


56.

Consider the function

fx = x2 - 5x + 6

What is f'(4) = ?

  •  - 4

  •  - 3

  • 3

  • 2


57.

Consider the function

fx = x2 - 5x + 6

What is f''(2.5) = ?

  •  - 3

  •  - 2

  • 0

  • 2


58.

Let, f(x) be the greatest integer function and g(x) bethe modulus function.

What is g ο f - 53 - f ο f - 53 = ?

  •  - 1

  • 0

  • 1

  • 2


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59.

Let, f(x) be the greatest integer function and g(x) bethe modulus function.

What is f o f - 95 + g o g - 2 = ?

  •  - 1

  • 0

  • 1

  • 2


60.

What is the binary equivalent of the decimal number 0.3125 ?

  • 0.0111

  • 0.1010

  • 0.0101

  • 0.1101


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