For the following questions answer them individually
By selling 9 articles for a rupee, a man incurred a loss of 4%. To make a gain of 44%, the number of articles to be sold for a rupee is :
$$1 - \frac{sin^2 A}{1 + cos A} + \frac{1 + cos A}{sin A} - \frac{sin A}{1 - cos A}$$
If a^3 - b^3 = 56 and a - b = 2, then the value of (a^2 + b^2 + ab) is :
If tanθ - cotθ = α and cosθ sinθ = b, then the value of (a^2 + 4) (b^2 - Â1)^2 is:
Area of the trapezium formed by x axis; y axis and the lines 3x+4y=12 and 6x+ 8y=60 is:
Area of the triangle formed by the graph of the line 2x - 3y + 6 = 0 along with the coordinate axes is
If (a^2 - Âb^2) sin θ + 2 ab cosθ = a^2 + b^2, then the value of tanθ is
Prabhat took a certain amount as a loan from a bank at the rate of 8% p.a. simple interest and gave the same amount to Ashish as a loan at the rate of 12% p. a. If at the end of 12 years, he made a profit of 960 in the deal, then the original amount was:
AB is a diameter of a circle with centre O. CD is a chord equal to the radius of the circle. AC and BD are produced to meet at P. Then the measure of ∠APB is :
R and r are the radius of two circles (R > r). If the distance between Âthe centre of the two circles be d, then length of common tangent of two circles is :