TS EAMCET · Maths · Straight Lines
The incentre of the triangle formed by the straight line having as -intercept and as -intercept, together with the coordinate axes, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given that, x-intercept is 3 y-intercept is 4 a=BC=(3-0)2+(0-4)2=52=5 b=AC=4 c=AB=3 Incentre I=ax+bx2+cx3a+b+c,ay1+by2+cy3a+b+c =5(0)+4(3)+3(0)5+4+3,5(0)+4(0)+3(4)5+4+3 =1212,1212 ∴ Incentre=(1,1).
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