JEE Mains · Maths · STD 11 - 9. straight line
If a straight line drawn through the point of intersection of the lines \(4x+3y-1=0\) and \(3x+4y-1=0\), meets the co-ordinate axes at the points P and Q, then the locus of the mid point of PQ is:
- A \(x+y-7=0\)
- B \(x+y-14xy=0\)
- C \(2x+y+14xy=0\)
- D \(x+2y-14xy=0\)
Answer & Solution
Correct Answer
(B) \(x+y-14xy=0\)
Step-by-step Solution
Detailed explanation
The point of intersection of the lines \(4x+3y-1=0\) and \(3x+4y-1=0\) is obtained by solving them simultaneously. Adding the two equations gives \(7x+7y-2=0 \Rightarrow x+y=\dfrac{2}{7}\). Subtracting the two equations gives \(x-y=0 \Rightarrow x=y\). Thus, the point of…
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