यदि ` y = cos theta + sin theta ` तथा ` |{:(1+y,1-y,1-y),(1-y,1+y,1-y),(1-y,1-y,1+y):}|=0` , तब
यदि ` theta [ 0 , 2 pi ] ,` तो ` theta ` के मानो की संख्या

If y = cos theta + isin theta , then the value of y+frac{1}{y} is

If y=sintheta+sqrt(3) cos theta and |(1+y, 1-y, 1-y),(1-y, 1+y, 1-y),(1-y, 1-y, 1+y)|=0 the number of solution in [0, 2pi] is (A) one (B) two (C) three (D) none of these

If y=sintheta+sqrt(3) cos theta and |(1+y, 1-y, 1-y),(1-y, 1+y, 1-y),(1-y, 1-y, 1+y)|=0 the number of solution in [0, 2pi] is (A) one (B) two (C) three (D) none of these

The parametric form of the ellipse 4 (x +1) ^(2) + (y-1) ^(2) = 4 is a) x = cos theta -1 , y =2 sin theta -1 b) x = 2 cos theta-1 , y =2 sin theta -1 c) x = cos theta - 1, y = 2 sin theta + 1 d) x = cos theta +1, y =2 sin theta +1

If x=a ( theta -sin theta ) ,y=a(1-cos theta ) ,then (dy)/(dx) =

If y = cosec theta + cot theta , prove that 2(dy)/(d theta)+ y^(2)+ 1 = 0 .

If x = 2 sin ^(2) theta and y = 2 cos^2 theta +1 then x + y is

(x) / (a) cos theta + (y) / (b) sin theta = 1, (x) / (a) sin theta- (y) / (b) cos theta = 1 then (x ^ (2)) / (a ^ (2)) + (y ^ (2)) / (b ^ (2)) =