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The equation `(cosp - 1) x^2 +cosp x + sinp = 0` where x is a variable, has real roots. then the interval of p may be any one of the following : |
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Answer» `D>=0` `b^2-4ac>=0` `cos^2P-4(cosP-1)sinP>=0` `c^2P>=4(cosP-1)sinP` `0<=cos^2P<=1` `sinP>=0` `P in[0,pi]` `(-1/sqrt2)^2>=4(-1/sqrt2=1)-1/sqrt2` `1/2>=40(1+sqrt2)/(sqrt2-sqrt2)=2(1+sqrt2)` `1/2<=2(1+sqrt2)` `P=3/4pi` is not possible. `P=-pi/4` is not possibble. option 4 is correct. |
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