If \({5cot\theta+\sqrt3cosec\theta\over 2\sqrt3coesec\theta+3 cot\theta}=1\), \(0^0<\theta<90^0\), then the value of \(\frac{\frac{7}{2} \cot^2 \theta- \frac{3}{4} \:cosec^2 \theta}{4 \sin^2 \theta+\frac{3}{2} \tan^2 \theta}\) will be:
Watch SolutionA tyre has 3 punctures. The first puncture alone would have made the tyre flat in 9 minutes, the second alone would have done it in 18 minutes, the third alone would have done it in 6 minutes. If the air leaks out at a constant rate, then how long (in minutes) does it take for all the punctures together to make it flat?
Watch SolutionThe average monthly expenditure of a family was Rs.18,600 during the first three months, Rs.21,750 during the next six months, and Rs.22,840 during the last three months of the year. If the total savings during the year was Rs.1,42,020, then the average monthly income (in Rs.) of the family was:
Watch SolutionIf cosec39° = x, the value of \({1 \over cosec^251°}+sin^239°+tan^251°-{1 \over sin^2 51°sec^2 39°} \) is
Watch SolutionA sold an article to B at 10% loss, B sold it to C at 15% profit and C sold it to D at 10% profit. If D bought it for ₹4,554, then what was the cost price (in ₹) of A?
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