JEE Main 2024 Mathematics question
A ray of light coming from the point P(1, 2) gets reflected from the point Q on the x-axis and then passes through the point R(4, 3). If the point S(h, k) is such that PQRS is a parallelogram, then hk² is equal to
Answer: (D)
Solution
The image of P in the x-axis is P′(1, −2). The line P′R is y − 3 = (5/3)(x − 4), which meets the x-axis at Q(11/5, 0). In the parallelogram PQRS
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