For the following questions answer them individually
If x = โ3 + โ2 then the value of $$x^{3}-\frac{1}{x^{3}}$$ is
What is the product of the roots of the equation $$x^{2}-\sqrt{3}=0?$$
If $$x=\frac{\cos\theta}{1-\sin\theta}$$, then $$\frac{\cos\theta}{1+\sin\theta}$$ is equal to
On what sum of money will the difference between S.I and C.I for 2 years at 5% per annum be equal to 25 ?
In ฮ ABC, โ B = 90ยฐ and AB : BC = 2 : 1. The value of sin A + cot C is
Anand marks up the price of an article by 50% and then allows a discount of 20% and sells it to Balaji. Balaji sells it for Rs.720 more than what he purchased for, this S.P is 30% more than the original C.P of the article. Then Balajiโs profit % is
The maximum number of common tangents drawn to two circles when both the circles touch each other externally is
If out of 10 selected students for an examination, 3 were of 20 years, age, 4 of 21 and 3 of 22 years, the average age of the group is
A cistern normally takes 10 hours to be filled by a tap. But because of a leak, it takes 2 hours more. In how many hours will the leak empty a full cistern ?
You arrive at your school 5 minutes late if you walk with a speed of 4 km/h, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/h. The distance of your school from your house (in km) is
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