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A square of side ' a ' lies above the x...

A square of side `' a '` lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle `alpha (0ltalphaltpi/ 4)` with the positive direction of x-axis. equation its diagonal not passing through origin is: a. `y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=a` b. `y(cosalpha+sinalpha)+x(sinalpha-cosalpha)=a` c. `y(cosalpha-sinalpha)+x(sinalpha+cosalpha)=a` d. `y(cosalpha+sinalpha)-x(cosalpha+sinalpha)=a`

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A square of side a lies above the x-axis and has one vertex at the origin. The side passing through the origin makes an angle alpha(0ltalphaltpi/ 4) with the positive direction of x-axis. equation its diagonal not passing through origin is (a) y(cosalpha+sinalpha)+x(sinalpha-cosalpha)="alpha(b)y(cosalpha+sinalpha)+x(sinalpha+cosalpha)=alpha(c)y(cosalpha+sinalpha)+x(cosalpha-sinalpha)=alpha(d)y(cosalpha-sinalpha)-x(sinalpha-cosalpha)=alpha

If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

If A_(alpha)=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] then (A_(alpha))^2=?

If (2sinalpha)/({1+cosalpha+sinalpha})=y , then ({1-cosalpha+sinalpha})/(1+sinalpha) =

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A^(2)=[{:(cos2alpha,sin2alpha),(-sin2alpha,cos2alpha) :}].

If intsinx/(sin(x-alpha))dx=Ax+Blogsin(x-alpha)+C , then value of (A,B) is (A) (-sinalpha,cosalpha) (B) (-cosalpha,sinalpha) (C) (sinalpha,cosalpha) (D) (cosalpha,sinalpha)

if A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] be such that A+A'=I then alpha

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