Arts (English Medium) Class 11 - CBSE Question Bank Solutions

Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the point

Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.

Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9 where no digits are repeated.

The number of possible outcomes when a coin is tossed 6 times is ______.

The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.

The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is ______.

The number of six-digit numbers, all digits of which are odd is ______.

Three letters can be posted in five letterboxes in 35 ways.

In a steamer there are stalls for 12 animals, and there are horses, cows and calves (not less than 12 each) ready to be shipped. They can be loaded in 3¹² ways.

There will be only 24 selections containing at least one red ball out of a bag containing 4 red and 5 black balls. It is being given that the balls of the same colour are identical.

Find the equation of the straight line passing through (1, 2) and perpendicular to the line x + y + 7 = 0.

If the line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlock wise direction through an angle of 15°. Find the equation of the line in new position.

If the slope of a line passing through the point A(3, 2) is `3/4`, then find points on the line which are 5 units away from the point A.

Find the equation to the straight line passing through the point of intersection of the lines 5x – 6y – 1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the line 3x – 5y + 11 = 0.

A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). Find the coordinates of the point A.

If one diagonal of a square is along the line 8x – 15y = 0 and one of its vertex is at (1, 2), then find the equation of sides of the square passing through this vertex.

The two lines ax + by = c and a′x + b′y = c′ are perpendicular if ______.

The equation of the line passing through (1, 2) and perpendicular to x + y + 7 = 0 is ______.

The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y – 11 = 0 are ______.

The intercept cut off by a line from y-axis is twice than that from x-axis, and the line passes through the point (1, 2). The equation of the line is ______.