Science (English Medium) इयत्ता ११ - CBSE Question Bank Solutions

The coordinates of the foot of the perpendicular drawn from the point P(3, 4, 5) on the yz- plane are

If  \[T_2 / T_3\]  in the expansion of \[\left( a + b \right)^n \text{ and } T_3 / T_4\]  in the expansion of \[\left( a + b \right)^{n + 3}\]  are equal, then n =

The coordinates of the foot of the perpendicular from a point P(6,7, 8) on x - axis are 

The perpendicular distance of the point P (6, 7, 8) from xy - plane is

The coefficient of  \[\frac{1}{x}\]  in the expansion of \[\left( 1 + x \right)^n \left( 1 + \frac{1}{x} \right)^n\] is 

The length of the perpendicular drawn from the point P (3, 4, 5) on y-axis is 

The perpendicular distance of the point P(3, 3,4) from the x-axis is 

If the sum of the binomial coefficients of the expansion \[\left( 2x + \frac{1}{x} \right)^n\]  is equal to 256, then the term independent of x is

The length of the perpendicular drawn from the point P(a, b, c) from z-axis is 

The coefficient of x⁵ in the expansion of \[\left( 1 + x \right)^{21} + \left( 1 + x \right)^{22} + . . . + \left( 1 + x \right)^{30}\]

The coefficient of x⁸ y¹⁰ in the expansion of (x + y)¹⁸ is

If the coefficients of x² and x³ in the expansion of (3 + ax)⁹ are the same, then the value of a is

Find the slope of the lines which make the following angle with the positive direction of x-axis:

\[- \frac{\pi}{4}\]

Find the slope of the lines which make the following angle with the positive direction of x-axis:

\[\frac{2\pi}{3}\]

Find the slope of the lines which make the following angle with the positive direction of x-axis: 

\[\frac{3\pi}{4}\]

Find the slope of the lines which make the following angle with the positive direction of x-axis: \[\frac{\pi}{3}\]

Find the slope of a line passing through the following point:

 (−3, 2) and (1, 4)

Find the slope of a line passing through the following point:

\[(a t_1^2 , 2 a t_1 ) \text { and } (a t_2^2 , 2 a t_2 )\]

Find the slope of a line passing through the following point:

(3, −5), and (1, 2)

State whether the two lines in each of the following are parallel, perpendicular or neither.

Through (5, 6) and (2, 3); through (9, −2) and (6, −5)