Maths NCERT Exemplar Solutions Class 11th Chapter Eleven

Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept 6√5 on the x-axis. Then the radius of the circle C is equal to :

The point P(a,b) undergoes the following three transformations successively :
(a) reflection about the line y = x
(b) translation through 2 units along the positive direction of x-axis.
(c) rotation through angle π/4 about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the point P are (-1/√2, 7/√2), then the value of 2a + b is equal to :

Kindly consider the following 

Let f: R → R be defined as f(x+y)+f(x-y) = 2f(x)f(y), f(1/2) = -1. Then, the value of Σ₂₀_(k=_1) 1/(sin(k)sin(k+f(k))) is equal to :

The area of the region bounded by y - x = 2 and x² = y is equal to :

If tan(π/9), x, tan(7π/18) are in arithmetic progression and tan(π/9), y, tan(5π/18) are also in arithmetic progression, then |x - 2y| is equal to :

Let f : [0,∞) → be a function defined by f(x) = { max{sint: 0≤ t ≤x}, 0≤x≤π, 2 + cos x, x > π
Then which of the following is true?

Let y = y(x) be the solution of the differential equation (x - x³) dy = (y + yx² – 3x⁴ )dx, x > 2. If y(3) = 3 then y(4) is equal to

Let N be the set of natural numbers and a relation R on N be defined by R = {(x,y) ∈ N*N : x³ - 3x²y – xy² + 3y³ = 0} . Then the relation R is :

Let a,b and c be three vectors such that a = b*(bxc). If magnitudes of the vectors a,b and c are √2, 1 and 2 respectively and the angle between b and c is θ(0<