[" If the curve "y=2e^(2x)" intersects the "y" -axis at an angle "cot^(-1)|((8n-4))/(3)|],[" Then the value of "n" is "(n in N)]

The curve y=2e^(2x) intersect the y -axis at an angle cot^(-1)|(8n-4)/3| then the positive value of n is

The curve y=2e^(2x) intersect the y -axis at an angle cot^(-1)|(8n-4)/3| then the positive value of n is

If the arithmetic mean of x and y is (x^n+y^n)/((x^(n-1)+y^(n-1))) ,then the value of n is

Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan^(-1) |("1n ((5)/(2)))/(1 + 1n 2 1n 5)| . Note Angle between two curves is the angle between their tangents at the point of intersection.

If A(n) represents the area bounded by the curve y=n*ln x ,where n in N and n >1, the x-axis and the lines x=1 and x=e , then the value of A(n)+n A(n-1) is equal to a. (n^2)/(e+1) b. (n^2)/(e-1) c. n^2 d. en^2

If A(n) represents the area bounded by the curve y=n*ln x, where n in N and n>1 the x-axis and the lines x=1 and x=e , then the value of A(n)+nA(n-1) is equal to a.(n^(2))/(e+1) b.(n^(2))/(e-1) c.n^(2) d.en ^(2)

If the number of terms in the expansion (2x+y)^(n)-(2x-y)^(n) is, 8 then the value of n is __________ (where n is odd)

Let A_(n) be the area bounded by the curve y=x^(n)(n>=1) and the line x=0,y=0 and x=(1)/(2). If sum_(n=1)^(n)(2^(n)A_(n))/(n)=(1)/(3) then find the value of n .

If the lines joining the origin to the intersection of the line y=nx+2 and the curve x^2+y^2=1 are at right angles, then the value of n^2 is