प्रथम चतुर्थांश में \(2x+3y\le 30\) की सीमा रेखा और अक्षों से बने त्रिभुज का क्षेत्रफल क्या है?
What is the area of the triangle formed by the boundary line of \(2x+3y\le 30\) and the axes in the first quadrant?
Explanation opens after your attempt
Correct Answer
B. (75)
Concept
The intercepts are ((15,0)) and ((0,10)), so the area is \(\frac{1}{2}\times 15\times 10=75\). Finding intercepts first is the fastest method.
Why this answer is correct
The correct answer is B. (75). The intercepts are ((15,0)) and ((0,10)), so the area is \(\frac{1}{2}\times 15\times 10=75\). Finding intercepts first is the fastest method.
Exam Tip
अवरोध ((15,0)) और ((0,10)) हैं, इसलिए क्षेत्रफल \(\frac{1}{2}\times 15\times 10=75\)। पहले अवरोध निकालना सबसे तेज तरीका है।
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