JEE Main 2023 Mathematics question

The equations of the sides AB and AC of a triangle ABC are ( + 1)x + y = 4 and x + (1 – )y = + 3 respectively. Its vertex A is on the y-axis and its orthocentre is (1, 2). The length of the tangent from the point C to the part of the parabola in the first quadrant is :

• (A)Correct
• (B)
• (C)2
• (D)4