List of top Mathematics Questions asked in JEE Advanced

If $tan \theta=-\frac{4}{3},$ then $sin \theta$ is

Let f:(0,1)→R be the function defined as f(x)=[4x](x-\(\frac{1}{4}\))2(x-\(\frac{1}{2}\)), where [x] denotes the greatest integer less than or equal to x .Then which of the following statements is(are) true?