AP EAMCET · Maths · Application of Derivatives
Through the point (4, 5), a straight line is drawn making positive intercepts on the coordinate axes. The area of the triangle thus
formed is least, when the ratio of the intercepts on the X and Y axes is
- A 1 : 1
- B 3 : 4
- C 4 : 5
- D 2 : 3
Answer & Solution
Correct Answer
(C) 4 : 5
Step-by-step Solution
Detailed explanation
Since, intercept form of line is \(\frac{x}{a}+\frac{y}{b}=1\) where X-intercept = a, Y-intercept = b Hence, equation of line AB \[ \frac{x}{m}+\frac{y}{n}=1 \] \(\because\) Line (i) passes through \((4,5)\).…
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