MHT CET 2023 Mathematics question
A line is drawn through the point (1, 2) to meet the co-ordinate axes at P and Q such that it forms a PQR, where O is the origin. If the area of OPQ is least, then the slope of the line PQ is
Answer: (A)
Solution
Let the line be . Its -intercept is (point P) and its -intercept is (point Q). For the triangle OPQ to be of least area the intercepts must have the same sign, so ; write with . Area . By AM-GM,
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