TS EAMCET · Maths · Pair of Lines
If the lines represented by \(x^2-2 h x y-y^2=0\) are rotated about \((0,0)\) through an angle \(\alpha\) one in clockwise direction and the other in the counter clockwise direction, then the combined equation of the bisectors of the angle between the lines thus obtained is
- A \(x^2-y^2+h x y=0\)
- B \(x^2-2 h x y+y^2=0\)
- C \(h x^2-h y^2+2 x y=0\)
- D \(h x^2+h y^2-x y=0\)
Answer & Solution
Correct Answer
(C) \(h x^2-h y^2+2 x y=0\)
Step-by-step Solution
Detailed explanation
The bisectors of the angle between the lines in new position are same as the bisectors of the angles between their old positions. Therefore, the required equation is…
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