JEE, NEET, Foundation & CBSE (JEE Advanced 2018

If, for a positive integer n, the quadratic equation, x(x + 1) + (x + 1) (x + 2) + …..+ (x+ n-1)(x+n)=10n has two consecutive integral solutions, then n is equal to :
  1. 9
  2. 10
  3. 11
  4. 12
For r=0, 1,……10, let Aᵣ ,Bᵣ and Cᵣ denote ,respectively , the coefficient of 𝒳⁴ in the expansions of (1+x)¹⁰ , (1+x)²⁰ and (1+x)³⁰ ,than ¹⁰∑ ᵣ₌₁ Aᵣ (B₁₀Bᵣ - C₁₀ Aᵣ ) is equal to
  1. 0
  2. B₁₀ - C₁₀
  3. C₁₀ - B₁₀
  4. A₁₀(B²₁₀ - C₁₀ A₁₀)
Two parallel chords of a cycle of radius 2 are at a distance √(3+1) part . If the chords subtend at the center , angles of π/k and 2 π/k where k>0. then value of [k] is {Note []k denotes the largest integer less than or equal to k ]
  1. 3
  2. 2 √3
  3. (2 √3+1)k
  4. None of these
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If ∠BPC = β, then tan β is equal to :
  1. 1/4
  2. 2/9
  3. 4/9
  4. 6/7
Time Elapsed

HR : MIN : SEC
Question Answered
0
Score out of 100
0

Get Started!

we provide the best
services to our students

AmazingCounters.com Views

 

LKG - 12th

Rs 1,999  Annual
Plan
TOP