Mathematics Quiz with Answers

$$ secA(secA+tanA)(1-sinA)\over (cosec^2A-1)sin^2A$$ is equal to:

if a+b+c=7 and a³+b³+c³-3abc=175, then what is the value of (ab+bc+ca)?

If x²+4y²=17 and xy=2, where x>0,y>0, then what is the value of x³+8y³?

The graphs of the linear equations 3x-2y=8 and 4x+3y=5 interest at the point P(α, β). What is the value of (2 α - β)?

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

In an isosceles triangle, the measure of each of equal sides is 10 cm and the angle between them is 45°. the area of the triangle is

From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is

The area of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio : 

The area of a right-angled isosceles triangle having hypotenuse 16√2 cm is