Class 11 Mathematics - Straight Lines - Slope of a line and angle between two lines Easy Quiz

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फलन f(x) = -2x + 4 के ग्राफ की ढाल क्या है?

What is the slope of the graph of the function f(x) = -2x + 4?

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Correct Answer

C. -2

Explanation

Simple Explanation

रैखिक फलन y = mx + c में x का गुणांक m, ग्राफ की ढाल होता है। यहाँ f(x) = -2x + 4 में x का गुणांक -2 है, इसलिए ढाल -2 होगी। विकल्प B में 2 है, लेकिन ऋणात्मक ढाल का अर्थ है कि x बढ़ने पर फलन का मान घटता है। परीक्षा-युक्ति: y = mx + c के रूप में लिखे फलन में x का गुणांक सीधे ढाल होता है। / In the linear form y = mx + c, the coefficient m of x is the slope of the graph. In f(x) = -2x + 4, the coefficient of x is -2, so the slope is -2. Option B, 2, has the wrong sign; a negative slope means that the function decreases as x increases. Exam tip: In a linear function written as y = mx + c, the coefficient of x is the slope.

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