If \(sin {πx\over 2}=x^2-2x+2\), then the value of x is
A, B and C can individually complete a task in 24 days,16 days and 32 days respectively. If A and C start the work and worked for 6 days and left, then the number of days required by B to complete the remaining task, is :
If the cost of pins reduces by Rs.4 per dozen, 12 more pins can be purchased for Rs.48. The cost of pins per dozen after reduction is
If \(11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ\), then what is the value of \(\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}\) ?
A fruit vendor recovers the cost of 95 oranges by selling 80 oranges. What is his profit percentage?