The combined equation of the two lines and can be written as . The equation of the angle bisectors of the lines represented by the equation is

Explanation: 1. Comparison of Coefficients By comparing with the general form , we get: 2. Equation of Angle Bisectors The combined equation for the angle bisectors of a pair of straight lines is given by the formula: 3. Substituting the Values Now, substitute the values of and into the formula: Simplifying the denominator: 4. Final Equation By cross-multiplying, we get: Conclusion Comparing this result to the given options, the correct answer is (1) . Final Answer:

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

The combined equation of the two lines $ax + by + c = 0$ and $a'x + b'y + c' = 0$ can be written as $(ax + by + c)(a'x + b'y + c') = 0$ . The equation of the angle bisectors of the lines represented by the equation $2 x^{2} + x y - 3 y^{2} = 0$ is

Choose the correct answer: