List-I List-II P. Let y(x)=cos(3 cos ^-1 x), x ∈[-1,1], x ≠±√(3)/2. 1. 1 Then 1/y(x){(x^2-1) d^2 ...
0List-I
List-II
P. Let y(x)=cos(3 cos ^-1 x), x ∈[-1,1], x ≠±√(3)/2.
1. 1
Then 1/y(x){(x^2-1) d^2 y(x)/d x^2+x d y(x)/d x} equals
Q. Let A_1, A_2, ……, A_n(n2) be the vertices of a regular polygon of
2.2 n sides with its centre at the origin. Let a_k be the position vector of
the point A_k, k=1,2, ……, n. If |∑_k=1^n-1(a_k×a_k+1)|=|∑_k=1^n-1(a_k·a_k+1)|, then the minimum value of n is
R. If the normal from the point P(h, 1) on the ellipse x^2/6+y^2/3=1
3. 8 is perpendicular to the line x+y=8, then the value of h is
S. Number of positive solutions satisfying the equation
4. 9 tan ^-1(1/2 x+1)+tan ^-1(1/4 x+1)=tan ^-1(2/x^2) is
Codes:
[Q R S; (A) 4 3 2 1; (B) 2 4 3 1; (C) 4 3 1 2; (D) 2 4 1 3 ]
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