For the following questions answer them individually
XY and XZ are tangents to a circle, ST is another tangent to the circle at the point R on the circle, which intersects XY and XZ at S and T respectively. If XY = 15 cm and TX = 9 cm, then RT is
Pipe A can fill a tank in 6 hours and pipe B can fill it in 4 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?
The value of tan1°tan2°tan3° ……………tan89° is
If $$x+\frac{1}{x}=1$$ then the value of $$\frac{x^2+3x+1}{x^2+7x+1}$$
In a rhombus ABCD, $$\angle$$A = 60° and AB. = 12 cm. Then the diagonal BD is
The printed price of an article is 40% higher than its cost price. Then the rate of discount such that he gains 12% profit is
Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013.
The average of passed students in the years 2008, 2009, 2012 approximately is
The increase in percentage of passed students from 2008 to 2011 approximately is
The decrease in percentage of passed students from 2011 to 2012 approximately is
For the following questions answer them individually
If $$\frac{\cos\alpha}{\sin\beta}=n$$ and $$\frac{\cos\alpha}{\cos\beta}=m$$ then the value of $$\cos^{2} \beta$$ is