Ncert Solutions Maths class 11th

Let S be the sum of the first 9 terms of series (x+ka)+(x²+(k+2)a)+(x³+(k+4)a)+(x?+(k+6)a)+., where a≠0 and x≠1. If S=(x¹?-x+45a(x-1))/(x-1), then k is equal to

Which of the following is tautology?

The imaginary part of (3 + 2√-54)¹/² - (3 - 2√-54)¹/² can be

Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of stations is connected by a straight track only. Further, each pair of nearest stations is connected by blue line, whereas all remaining pairs of stations are connected by red line. If the number of red lines is 99 times the number of blue lines, then the value of n is

For some θ ∈ (0, π/2), if the eccentricity of the hyperbola x² - y²sec²θ = 10 is √5 times the eccentricity of the ellipse x²sec²θ + y² = 5, then the length of the latus rectum of the ellipse is

lim(x→0) (tan(π/4 + x))¹/? is equal to

If the sum of first 11 terms of an A.P. a?, a?, a?, . is 0 (a? ≠ 0), then the sum of the A.P. a?, a?, a?, ., a? is ka?, where k is equal to