Q1. Let nth term of an A.P. is 9. If the product of
(n-1)th and (n+3)th terms is maximum then
the common difference is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Answer..
Q2. If (sin⁴α)/a + (cos⁴α)/b = 1/(a+b) then
prove that :-
(sin⁸α)/a³ + (cos⁸α)/b³ = 1/(a+b)³
Answer:-
(n-1)th and (n+3)th terms is maximum then
the common difference is
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Answer..
By ideaca
prove that :-
(sin⁸α)/a³ + (cos⁸α)/b³ = 1/(a+b)³
Answer:-
By ideaca
Q3. Find the value of a in given equation
below:-
∞
Σ 1/[k√(k+2) + (k+2)√k] = (2+√2)/a
k=1
Answer:-
By ideaca
Q4. In ΔABC, ∠C is right, AC =2-√3+x and BC = 1- 2x+x√3, and ∠B=π/λ + tan–¹x then λ is
Answer:-
By ideaca
Q5. Let tangent at any point on the curve E1: 4x²+9y²=36 meets the curve E2: 10x²+15y²
=150 at point p and q. If tangents drawn at p and q to the curve E2 meets at point r.
Then equation of director circle of locus
of r will be
Answer:-
=150 at point p and q. If tangents drawn at p and q to the curve E2 meets at point r.
Then equation of director circle of locus
of r will be
Answer:-
By ideaca
