GPSC Answer Key for upcoming DY SO, DY Mamlatdar exam

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Find (dy)/(dx) for the following

Statements:- Some logic are answers. All keys are answers. Conclusions:- I. All keys are logic II. No keys are logic.

Which one of the following differential equations represents the family of straight lines which are at unit distance from the origin a) (y-x(dy)/(dx))^2=1-((dy)/(dx))^2 b) (y+x(dy)/(dx))^2=1+((dy)/(dx))^2 c)(y-x(dy)/(dx))^2=1+((dy)/(dx))^2 d) (y+x(dy)/(dx))^2=1-((dy)/(dx))^2

Several students have taken an exam . There was an error in the answer key which affected the marks of 48 students , and their average marks reduced from 78 to 66 . The average of remaining students increased by 3.5 marks . This resulted the reduction of the average of all students by 4.5 marks . The number of students that attended the exam is :

If x = f(t) and y = g(t) are differentiable functions of t so that y is a differentiable functions of x and if dx//dt ne 0 then (dy)/(dx) =(dy)/((dt)/((dx)/(dt)) . Hence find dy/dx if x= 2sint and y=cos2t

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Calculate (dy)/(dx) for the following :-