Ncert Solutions Maths class 11th

A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of the line on the coordinate axes is $\frac{1}{4}.$  Three stones A, B and C are placed at the point (1, 1), (2, 2) and (4, 4) respectively. Then which of these stones is / are on the path of the man?

Let a circle C touch the lines L₁ : 4x – 3y + K₁ = 0 and L₂ : 4x – 3y + K₂ = 0, K₁, K₂  $\in$  R. If a line passing through the centre of the circle C intersects L₁ at (-1,2) and L₂ at (3, -6), then the equation of the circle C is:

The locus of the mid- point of the line segment joining the focus of the parabola y² = 4ax to a moving point of the parabola, is another parabola whose directrix is:

A scientific committee is to be formed form 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways the committee and be formed is

A circle passes through the points (2, 2) and (9, 9) and touches the x-axis. The absolute value of the difference of possible x-coordinate of the point of contact is __________

Number of ways in which three distinct numbers can be selected between 1 and 20 both inclusive, whose sum is even is __________

If two of the straight lines given by 3x³ + 3x²y – 3xy² + dy³ = 0, are at right angles, then d is equal to __________

The value of 2 cos 20º cos 40° cos 80° is equal to __________

A point corresponding to complex number z moves on the curve |z + 4| + |z - 6| = 10, then the value of |z|max + |z|min is equal to

If f(x) = x√(1 – x²), then the range of f(x) is