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Find the value of θ, if sec^{2} θ + (1 - √3) tan θ - (1 + √3) = 0, where θ is an acute angle.

If \(tan\theta = {a \over b}\), then \({a.sin\theta + b.cos\theta \over {a.sin\theta - b.cos\theta}}\) is:

In a 100 m race, A beats B by 10 m and in a 300 m race A beats C by 39 m. In a race of 210 m, B will beat C by:

By selling an article for Rs. 1,170, Elisa suffers as much loss as she would have gained by selling it at a profit of 22%. If she sells it for Rs. 1,450, then her profit/loss per cent (correct up to one decimal place) is:

The value of \(sec^6\theta-tan^6\theta-3sec^2\theta \space tan^2\theta+1\over cos^4\theta-sin^4\theta+2sin^2\theta+2\) is :