[" 3.If "(a+sqrt(2)b cos x)(a-sqrt(2)b c...

[" 3.If "(a+sqrt(2)b cos x)(a-sqrt(2)b cos y)=a^(2)-b^(2)," where "a>b>0," then "(dx)/(dy)" at "((pi)/(4),(pi)/(4))" is: "],[[" 1) "(a-2b)/(a+2b)," 2) "(2a+b)/(2a-b)," 3) "(a-b)/(a+b)," 4) "(a+b)/(a-b)]]

Similar Questions

Explore conceptually related problems

If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then (dx)/(dy) at (pi/4,pi/4) is :

If (a+sqrt(2)bcosx)(a-sqrt(2)bcosy)=a^2-b^2 , find (dx)/(dy) at (pi/4,pi/4) .

If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

If (sin x)(cos y)=(1)/(2), then (d^(2)y)/(dx^(2)) at ((pi)/(4),(pi)/(4)) is (a)-4(b)-2(c)-6(d)0 at ((pi)/(4),(pi)/(4))

If (a-b cos y) (a + b cos x)= a^(2) -b^(2) show that (dy)/(dx)= (sqrt(a^(2)-b^(2)))/(a+b cos x), 0 lt x lt (pi)/(2)

If int_(0)^( pi)(1)/(a+b cos x)dx=(pi)/(sqrt(a^(2)-b^(2))), then int_(0)^( pi)(1)/((a+b cos x)^(2))dx is

If x=a sin2t(1+cos2t) and y=b cos2t(1-cos2t), find the values of (dy)/(dx) at t=(pi)/(4) and t=(pi)/(3)

If y=e^(x)cos x, prove that (dy)/(dx)=sqrt(2)e^(x)cos(x+(pi)/(4))