InterviewSolution
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InterviewSolution
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The complete set of values of the parameter `alpha` so that the point `P(alpha, (1 +alpha^(2))^(-1))` does not lie outside the triangle formed by the lines `L_(1): 15y = x +1, L_(2) : 78y = 118 - 23x` and `L_(3):y +2 = 0` isA. `(0,5)`B. `[2,5]`C. `[1,5]`D. `[0,2]` |
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Answer» Correct Answer - C As `P(alpha,(1+alpha^(2))^(1-))` lie on `y = (1)/(1+x^(2))` which never intersect the line `y =-2` `:.` On solving `y = (1)/(1+x^(2))` with `L_(1)`, we get `P_(1) (2,(1)/(5))` (i) and the `L_(2)`, we get `P_(2)(5,(1)/(26))` (ii) `:.` From (i) and (ii), we get `2 le alpha le 5` |
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