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Definition of Function

If 7, 11, 5, ...

Question

If { (7, 11), (5, a) } represents a constant function, then the value of a is

A

7

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B

11

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C

5

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D

9

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Solution

The correct option is A 11
In constant functions the image of every element is equal or the output of every input is constant.
$∴ a = 11$
Option (b) is correct.

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Similar questions

{(7, 11), (5, a)}

represents a constant function, then the value of '

a

\frac{7 + \sqrt{5}}{7 - \sqrt{5}} - \frac{7 - \sqrt{5}}{7 + \sqrt{5}} = a + \frac{7 \sqrt{5}}{11}

b then find value of a and b.

tan ({tan}^{- 1} \frac{1}{3} + {tan}^{- 1} \frac{1}{7} + {tan}^{- 1} \frac{1}{13} + \dots + {tan}^{- 1} \frac{1}{307})

= \frac{p}{q},

p, q \in N,

then the value of

[\frac{q}{p}]

[y]

represents greatest integer function of

y

I = \int_{1}^{3} ({tan}^{- 1} (\frac{x^{2} - 5 x + 6}{x^{3} - 6 x^{2} + 12 x - 7}) + {tan}^{- 1} (\frac{1}{x^{2} - 4 x + 4}))

then the value of

[I]

is
(where [.] represents the greatest integer function)

P (A) = \frac{6}{11}, P (B) = \frac{5}{11}

P (A \cup B) = \frac{7}{11}

, then the value of

P (A / B)

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