Number of real normals that can drawn from the point (1, 1) to the rectangular hyperbola is (A) 4 (B — AITS & Test Series Chemistry Question

Question

Number of real normals that can drawn from the point (1, 1) to the rectangular hyperbola is (A) 4 (B) 0 (C) 3 (D) 2 Paragraph for Question Nos. 21 to 23 Read the following write up carefully and answer the following questions: If ax2 + by2 + 2hxy + 2gx + 2fy + c = 0 represents an ellipse, then h2 < ab and abc + 2fgh – af2 – bg2 – ch2 0. If for every point (x1, y1) satisfying above equation (2h – x1, 2k – y1) also satisfy it, then (h, k) is centre of it. The length of semi major axis and minor axis is nothing but the maximum and minimum value of the distance of a point lying on the curve from its centre.