Mathematics Quiz Questions and Answers

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

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

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)?

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

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

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

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is: