If cosx.cosy + sinx.siny = -1 then cosx + cosy is

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• The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is
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• If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is
• A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to
• Which of the following statement(s) is/are TRUE? I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07 II. √(0.010201) + √(98.01) + √(0.25) = 11.51
• Which of the following statement(s) is/are TRUE? I . 11×3+13×5+15×7+...+111×13 = 1213 II. 11×2+12×3+13×4+...+112×13 = 1213
• Which of the following statement(s) is/are TRUE? I. 3/71 < 5/91 < 7/99 II. 11/135 > 12/157 > 13/181
• If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?
• If x + y = 10 and xy = 4, then what is the value of x4 + y4 ?
• Which of the following statement(s) is/are TRUE? I. √5 + √5 > √7 + √3 II. √6 + √7 > √8 + √5 III. √3 + √9 > √6 + √6

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