TS EAMCET · Maths · Straight Lines
The combined equation of the straight lines passing through the point \((4,3)\) and each line making intercepts on the coordinate axes whose sum is -1 , is
- A \((3 x-2 y-6)(x-2 y+2)=0\)
- B \((3 x-2 y+6)(x-2 y+2)=0\)
- C \((3 x-2 y-6)(x-2 y-2)=0\)
- D \((3 x-2 y+6)(x-2 y-2)=0\)
Answer & Solution
Correct Answer
(A) \((3 x-2 y-6)(x-2 y+2)=0\)
Step-by-step Solution
Detailed explanation
Let the intercept of the line on coordinate axes be a and \(b\). Then, \(\quad a+b=-1\) \(\Rightarrow \quad b=-(1+a)\) \(\therefore\) Equation of line will be \[ \frac{x}{a}-\frac{y}{1+a}=1 \] Since, above line passes through \((4,3)\).…
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