असमानता \(3x+4y \le 24\) के प्रथम चतुर्थांश में बनने वाले त्रिभुज का क्षेत्रफल कितना है?
What is the area of the triangle formed in the first quadrant by \(3x+4y \le 24\)?
Explanation opens after your attempt
Correct Answer
A. (24) वर्ग इकाई(24) square units
Concept
The line cuts the axes at ((8,0)) and ((0,6)), so area is \(\frac{1}{2}\times 8\times 6=24\). Intercepts quickly give the triangle area.
Why this answer is correct
The correct answer is A. (24) वर्ग इकाई / (24) square units. The line cuts the axes at ((8,0)) and ((0,6)), so area is \(\frac{1}{2}\times 8\times 6=24\). Intercepts quickly give the triangle area.
Exam Tip
रेखा अक्षों को ((8,0)) और ((0,6)) पर काटती है, इसलिए क्षेत्रफल \(\frac{1}{2}\times 8\times 6=24\)। अवरोधों से त्रिभुज का क्षेत्रफल तुरंत मिलता है।
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