Ncert Solutions Maths class 11th

The differential equation satisfied by the system of parabolas y² = 4a(x + a) is:

The solutions of the equation
|1+sin²x, sin²x, sin²x|
|cos²x, 1+cos²x, cos²x| = 0, (0 < x < π), are:
|4sin2x, 4sin2x, 1+4sin2x|

A vector a has components 3p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, a has components p + 1 and √10, then a value of p is equal to:

For the four circles M, N, O and P, following four equations are given:
Circle M: x² + y² = 1
Circle N: x² + y² - 2x = 0
Circle O: x² + y² - 2x - 2y + 1 = 0
Circle P: x² + y² - 2y = 0
If the centre of circle M is joined with centre of the circle N, further centre of circle N is joined with centre of the circle O, centre of circle O is joined with the centre of circle P and lastly, centre of circle P is joined with centre of circle M, then these lines form the sides of a:

If the equation a|z|² + α'z + αz' + d = 0 represents a circle where a, d are real constants, then which of the following condition is correct?

The minimum distance between any two points P₁ and P₂ while considering point P₁ on one circle and point P₂ on the other circle for the given circles' equations x² + y² - 10x - 10y + 41 = 0, x² + y² - 24x - 10y + 160 = 0 is.

If (2021)³⁷⁶² is divided by 17, then the remainder is .

The sum of possible values of x for tan^-1(x + 1) + cot^-1(1/(x - 1)) = tan^-1(8/31) is:

The line 2x - y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x - 2y = 4. Then, the radius of the circle is:

The value of 4 + 1 / (5 + 1 / (4 + 1 / (5 + 1 / (4 + .∞)))) is: