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Match the following lists: |
Answer» `OA = 1+4 "cot" theta` `OB = 4+ "tan" theta` `OA+OB = 5+4 "cot" theta + "tan" theta` ` ge 5 +2 sqrt(4 "cot" theta " tan" theta)` `=5+(2 xx 2)=9` (b) The REFLECTION of P(4, -1) on y=x is Q (-1, 4). Hence, `PQ = sqrt((4+1)^(2) + (-1-4)^(2)) = sqrt(50) = 5sqrt(2)` (c) `AB = 2sqrt(2)` `OC = sqrt(2)` The maximum value of d is `OF = sqrt(2) + 2sqrt(2)` `=3sqrt(2)` (d) The given line is `x= 4+(1)/(sqrt(2))((y+1)/(sqrt(2)) " or " y=2x-9` Hence, the INTERCEPT MADE by the x-axis is 9/2. |
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