Ncert Solutions Maths class 11th

The value of ((1+sin(2π/9)+icos(2π/9))/(1+sin(2π/9)-icos(2π/9)))³ is

Let P(h,k) be a point on the curve y = x² + 7x + 2, nearest to the line, y = 3x - 3. Then the equation of the normal to the curve at P is

The value of λ and µ for which the system of linear equations
x+y+z=2
x+2y+3z=5
x+3y+λz=µ
has infinitely many solutions are, respectively:

Let m and M be respectively the minimum and maximum values of |cosx, 1+sin²x, sin2x; 1+cos²x, sin²x, sin2x; cos²x, sin²x, 1+sin2x|. Then the ordered pair (m,M) is equal to:

Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated?

The shortest distance between the lines (x-1)/0 = (y+1)/-1 = z/1 and x+y+z+1=0, 2x-y+z+3=0 is:

The position of a moving car at time t is given by f(t)=at²+bt+c, t>0, where a,b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t?,t?] is attained at the point:

If α, β are roots of the equation x² + 5√2x + 10 = 0, α > β and P? = α? - β? for each positive integer n, then the value of (P?P? + 5√2P?P?)/(P?P? + 5√2P?²) is equal to……….

A ray of light coming from the point (2,2√3) is incident at an angle 30° on the line x=1 at the point A. The ray gets reflected on the line x=1 and meets x-axis at the point B. Then, the line AB passes through the point:

There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the total 11 students of class 10 and 11 is 100k, then k is equal to…….