InterviewSolution
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InterviewSolution
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In a hyperbola, the portion of the tangent intercepted between the asymptotes is bisected at the point of contact. Consider a hyperbola whose center is at the origin. A line `x+y=2` touches this hyperbola at P(1,1) and intersects the asymptotes at A and B such that AB = `6sqrt2` units. The angle subtended by AB at the center of the hyperbola isA. `sin^(-11).(4)/(5)`B. `sin^(-1).(2)/(5)`C. `sin^(-1).(3)/(5)`D. none of these |
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Answer» Correct Answer - C `m_(OA)=-(1)/(2),m_(OB)=-2` `tan theta=|(-1//2+2)/(1+1)|=(3)/(4)` `"or "sintheta=(3)/(5)` `"or "theta=sin^(-1)((3)/(5))` |
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