हिंदी

The maximum distance of a point on the graph of the function y = 3 sinx + cosx from x-axis is ______.

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प्रश्न

The maximum distance of a point on the graph of the function y = `sqrt(3)` sinx + cosx from x-axis is ______.

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उत्तर

The maximum distance of a point on the graph of the function y = `sqrt(3)` sinx + cosx from x-axis is 2.

Explanation:

Given that y = `sqrt(3)` sinx + cosx  .......(i)

∴ The maximum distance from a point on the graph of equation (i) from x-axis

= `sqrt((sqrt(3))^2 + (1)^2`

= `sqrt(3 + 1)`

= 2

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अध्याय 3: Trigonometric Functions - Exercise [पृष्ठ ६०]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 3 Trigonometric Functions
Exercise | Q 67 | पृष्ठ ६०

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