TS EAMCET · Maths · Straight Lines
The area of the triangle formed by the line L with the coordinate axes is 12 sq. units. If L passes through the point \((12,4)\) and the product P of X -intercept of L and square of the Y -intercept of L is negative, then \(\mathrm{P}=\)
- A \(-48\)
- B \(-24\)
- C \(-192\)
- D \(-72\)
Answer & Solution
Correct Answer
(A) \(-48\)
Step-by-step Solution
Detailed explanation
Let the equation of the line be \(\frac{x}{a} + \frac{y}{b} = 1\). \(\frac{1}{2} |ab| = 12 \Rightarrow |ab| = 24\). Line passes through \((12,4)\): \(\frac{12}{a} + \frac{4}{b} = 1\). \(P = ab^2 0\)). Since \(a From…
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